{"conversation_id": 393, "tutor_id": "user_00001", "tutor_tier": "expert", "tutor_score": 0.6634141913559046, "student_id": "user_00002", "resolution": "resolved", "resolution_confidence": "high", "n_messages": 8, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "how to do part b"}, {"idx": 1, "role": "student", "category": "Student-Academic", "move": "Explain-Reasoning", "category_confidence": "high", "move_confidence": "high", "message_text": "not sure since can't use remainder theorem"}, {"idx": 2, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "(x^2-1) = (x+1)(x-1)\nmeans (x+1) and (x-1) are factors of f(x)"}, {"idx": 3, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "Why can't u use remainder theorem?"}, {"idx": 4, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "so at x =1, -1 f(x)=0"}, {"idx": 5, "role": "student", "category": "Student-Academic", "move": "Breakthrough", "category_confidence": "high", "move_confidence": "high", "message_text": "ohh"}, {"idx": 6, "role": "student", "category": "Student-Academic", "move": "Knowledge-Recall", "category_confidence": "high", "move_confidence": "high", "message_text": "nvm i forgot that u can make it into 2 linear"}, {"idx": 7, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": ".close"}]}
{"conversation_id": 13, "tutor_id": "user_00003", "tutor_tier": "expert", "tutor_score": 0.6618734662684774, "student_id": "user_00004", "resolution": "resolved", "resolution_confidence": "high", "n_messages": 11, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "whats the span of the set of the union of the x and y axes? (im guessing the x-y plane but i wanne be sure)"}, {"idx": 1, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "what u said"}, {"idx": 2, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "medium", "move_confidence": "high", "message_text": "no need to guess, you can figure it"}, {"idx": 3, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "span {(1,0,0,0,...),(0,1,0,0,...)}={(x,y,0,0,0...) for x, y real}"}, {"idx": 4, "role": "student", "category": "Student-Academic", "move": "Inference-Understanding", "category_confidence": "medium", "move_confidence": "medium", "message_text": "hmmm okey"}, {"idx": 5, "role": "student", "category": "Socio-Emotional", "move": "Frustration", "category_confidence": "high", "move_confidence": "high", "message_text": "exams r making me doubt myself lol"}, {"idx": 6, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "What about the span of the x, y and z axes? it should be R^3 right?"}, {"idx": 7, "role": "student", "category": "Student-Academic", "move": "Explain-Reasoning", "category_confidence": "high", "move_confidence": "high", "message_text": "since a.(1,0,0)+b.(0,1,0)+c.(0,0,1) spans the entire R^3 space"}, {"idx": 8, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "yes"}, {"idx": 9, "role": "student", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "high", "move_confidence": "high", "message_text": "thankq"}, {"idx": 10, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": ".close"}]}
{"conversation_id": 125, "tutor_id": "user_00005", "tutor_tier": "expert", "tutor_score": 0.6343659618419768, "student_id": "user_00006", "resolution": "resolved", "resolution_confidence": "high", "n_messages": 16, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "How is this divergent? I separated the limit to the the numerator and denominator.  lim/lim"}, {"idx": 1, "role": "student", "category": "Student-Academic", "move": "Explain-Reasoning", "category_confidence": "high", "move_confidence": "high", "message_text": "I got undefined/infinity"}, {"idx": 2, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "cause it never converges"}, {"idx": 3, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "you get lim x-> inf (-1)^x by analysis"}, {"idx": 4, "role": "student", "category": "Student-Academic", "move": "Breakthrough", "category_confidence": "high", "move_confidence": "medium", "message_text": "oo nice"}, {"idx": 5, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "so if i ever encounter something like this i would say it diverges?"}, {"idx": 6, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "Is it because of the 8x being there?"}, {"idx": 7, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "Just testing some things out and this one converges to 0"}, {"idx": 8, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "yeah, cause you have constant/(going to inf)"}, {"idx": 9, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "just to clarify if i were to draw a graph it would look like it's oscilatting and gets closer to zero"}, {"idx": 10, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "drawing the graph is near impossible"}, {"idx": 11, "role": "student", "category": "Student-Academic", "move": "Explain-Reasoning", "category_confidence": "high", "move_confidence": "high", "message_text": "o i thought it would look like"}, {"idx": 12, "role": "student", "category": "Student-Academic", "move": "Explain-Reasoning", "category_confidence": "high", "move_confidence": "high", "message_text": "cause it alternates between negative and positive"}, {"idx": 13, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "yeah if you restrict yourself to x in N"}, {"idx": 14, "role": "student", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "high", "move_confidence": "high", "message_text": "alroght thanks for the help"}, {"idx": 15, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": ".close"}]}
{"conversation_id": 78, "tutor_id": "user_00007", "tutor_tier": "expert", "tutor_score": 0.703216916919086, "student_id": "user_00008", "resolution": "unclear", "resolution_confidence": "medium", "n_messages": 11, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "d/dx (sin(tan(x ⁴)))"}, {"idx": 1, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "How to do this?"}, {"idx": 2, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "⛓️ 📏"}, {"idx": 3, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "Lol \nI got it as cos(tan(x⁴)) sec²(x⁴) 4x³\nIs that correct"}, {"idx": 4, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "medium", "move_confidence": "high", "message_text": "seems ok"}, {"idx": 5, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "Can u confirm please, im really confused cause I saw a different answer on youtube"}, {"idx": 6, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "what answer did you see on youtube?"}, {"idx": 7, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "it might actually be the same as yours."}, {"idx": 8, "role": "student", "category": "Student-Academic", "move": "Explain-Reasoning", "category_confidence": "high", "move_confidence": "high", "message_text": "It showed cos(tan x⁴ ) sec²(x⁴)"}, {"idx": 9, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "Which one is correct?"}, {"idx": 10, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": ".close"}]}
{"conversation_id": 247, "tutor_id": "user_00009", "tutor_tier": "expert", "tutor_score": 0.5967181045236152, "student_id": "user_00010", "resolution": "resolved", "resolution_confidence": "high", "n_messages": 13, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "Hi i'm new to this math topic. What is the method for solving these? :0"}, {"idx": 1, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "2) is just an identity you memorize"}, {"idx": 2, "role": "student", "category": "Student-Academic", "move": "Inference-Understanding", "category_confidence": "high", "move_confidence": "high", "message_text": "i seeee :0"}, {"idx": 3, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "and 1 is like, (1.5x + 3 - (0.5x+1))(1.5x + 3 + (0.5x+1))"}, {"idx": 4, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "medium", "message_text": "so same thing"}, {"idx": 5, "role": "tutor", "category": "Tutor-Academic", "move": "Correction", "category_confidence": "high", "move_confidence": "high", "message_text": "but actually you're probably supposed to multiply"}, {"idx": 6, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "without that"}, {"idx": 7, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "x(2x+4) + 2(2x+4)"}, {"idx": 8, "role": "student", "category": "Student-Academic", "move": "Explain-Reasoning", "category_confidence": "high", "move_confidence": "high", "message_text": "I figured that, i was a bit confused at the time"}, {"idx": 9, "role": "student", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "high", "move_confidence": "high", "message_text": "ty"}, {"idx": 10, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "if you have (a+b) * e, that's the same as ae + be\nso now let e = (c + d)\nthen (a+b) * (c+d) = (a+b) \\* e = ae + be = a(c+d) + b(c+d) = ac + ad + bc + bd"}, {"idx": 11, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "hopefully that makes some sense"}, {"idx": 12, "role": "student", "category": "Student-Academic", "move": "Breakthrough", "category_confidence": "high", "move_confidence": "high", "message_text": "YES :] \nand ty guys"}]}
{"conversation_id": 504, "tutor_id": "user_00011", "tutor_tier": "expert", "tutor_score": 0.6495530153019206, "student_id": "user_00012", "resolution": "resolved", "resolution_confidence": "high", "n_messages": 8, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "Is it possible to figure out if 3^9 is greater than or less than 4^7 without using a calculator?"}, {"idx": 1, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "Yep"}, {"idx": 2, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "It's should be"}, {"idx": 3, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "it's useful to have $\\log_{10} 2 = 0.3010$, $\\log_{10} 3 = 0.4771$ memorized"}, {"idx": 4, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "or tbh 4^7  = 2^14"}, {"idx": 5, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "and that's very doable"}, {"idx": 6, "role": "student", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "high", "move_confidence": "high", "message_text": "Ah, okay. Thank you."}, {"idx": 7, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": ".close"}]}
{"conversation_id": 653, "tutor_id": "user_00013", "tutor_tier": "expert", "tutor_score": 0.6712332759900356, "student_id": "user_00014", "resolution": "abandoned", "resolution_confidence": "high", "n_messages": 10, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "can someone please explain how to solve this using partial decomposition"}, {"idx": 1, "role": "tutor", "category": "Tutor-Academic", "move": "Knowledge-Check", "category_confidence": "high", "move_confidence": "high", "message_text": "How well do you know PFD?"}, {"idx": 2, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "whats that?"}, {"idx": 3, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "partial decomp?"}, {"idx": 4, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Partial fraction decomposition"}, {"idx": 5, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "i dont think i know it that well"}, {"idx": 6, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "pershmaps learn it"}, {"idx": 7, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "https://www.youtube.com/watch?v=QKkdYW77xNI&ab_channel=TheOrganicChemistryTutor"}, {"idx": 8, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "@kimchi feel free to ask questions about the video. I'm sure @a disappointing son has watched and understood it 10 times by now"}, {"idx": 9, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "@kimchi feel free to ask questions about the video. I'm sure @a disappointing son has watched and understood it 10 times by now"}]}
{"conversation_id": 31, "tutor_id": "user_00005", "tutor_tier": "expert", "tutor_score": 0.6343659618419768, "student_id": "user_00015", "resolution": "resolved", "resolution_confidence": "high", "n_messages": 44, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "Is 21 correct?"}, {"idx": 1, "role": "student", "category": "Socio-Emotional", "move": "Frustration", "category_confidence": "high", "move_confidence": "high", "message_text": "I am not expert on integration"}, {"idx": 2, "role": "student", "category": "Socio-Emotional", "move": "Frustration", "category_confidence": "high", "move_confidence": "high", "message_text": "rules"}, {"idx": 3, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Negative", "category_confidence": "high", "move_confidence": "high", "message_text": "no"}, {"idx": 4, "role": "student", "category": "Student-Academic", "move": "Explain-Reasoning", "category_confidence": "high", "move_confidence": "high", "message_text": "I am thinking this because the bounds are the same"}, {"idx": 5, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "apply linearity of integration"}, {"idx": 6, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "I don't know what that means"}, {"idx": 7, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "$\\int af(x)+bg(x)\\dd{x}=a\\int f(x)\\dd{x}+b\\int g(x)\\dd{x}$"}, {"idx": 8, "role": "student", "category": "Socio-Emotional", "move": "Frustration", "category_confidence": "high", "move_confidence": "high", "message_text": "i still dont get it"}, {"idx": 9, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "18 + 3"}, {"idx": 10, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "21"}, {"idx": 11, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "Is correct"}, {"idx": 12, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "I have to find the integral of 3?"}, {"idx": 13, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "yes."}, {"idx": 14, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "medium", "message_text": "Ur saying"}, {"idx": 15, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "But that would be 3x"}, {"idx": 16, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Scaffolding", "category_confidence": "high", "move_confidence": "high", "message_text": "yeah, and?"}, {"idx": 17, "role": "student", "category": "Student-Academic", "move": "Explain-Reasoning", "category_confidence": "high", "move_confidence": "high", "message_text": "the options are all constants"}, {"idx": 18, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Scaffolding", "category_confidence": "high", "move_confidence": "high", "message_text": "yeah, and?"}, {"idx": 19, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "you evaluate the integral still.."}, {"idx": 20, "role": "student", "category": "Student-Academic", "move": "Breakthrough", "category_confidence": "high", "move_confidence": "high", "message_text": "oh i have to plug in"}, {"idx": 21, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "21 - 15"}, {"idx": 22, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "16"}, {"idx": 23, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "6"}, {"idx": 24, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "SO 3+6"}, {"idx": 25, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Negative", "category_confidence": "high", "move_confidence": "medium", "message_text": "🤨"}, {"idx": 26, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "3(7-5)=6"}, {"idx": 27, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Scaffolding", "category_confidence": "high", "move_confidence": "high", "message_text": "18+6 is..?"}, {"idx": 28, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "is 24 the answer"}, {"idx": 29, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "yes."}, {"idx": 30, "role": "student", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "high", "move_confidence": "high", "message_text": "Thy ty"}, {"idx": 31, "role": "student", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": "yo btw"}, {"idx": 32, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "If the integral has a blank lower bound"}, {"idx": 33, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "Like from a to b"}, {"idx": 34, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "and there is no a number"}, {"idx": 35, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "what do u assume the lower bound is"}, {"idx": 36, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "a.."}, {"idx": 37, "role": "tutor", "category": "Tutor-Academic", "move": "Correction", "category_confidence": "high", "move_confidence": "high", "message_text": "cause the lower bound is a, you just said it was"}, {"idx": 38, "role": "student", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": "nvm"}, {"idx": 39, "role": "student", "category": "Student-Academic", "move": "Explain-Reasoning", "category_confidence": "high", "move_confidence": "high", "message_text": "I misread this graph"}, {"idx": 40, "role": "student", "category": "Student-Academic", "move": "Explain-Reasoning", "category_confidence": "high", "move_confidence": "high", "message_text": "i misread this"}, {"idx": 41, "role": "student", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": "Mb"}, {"idx": 42, "role": "tutor", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "Help"}, {"idx": 43, "role": "tutor", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "How do u do the bot"}]}
{"conversation_id": 690, "tutor_id": "user_00016", "tutor_tier": "expert", "tutor_score": 0.6021660518249593, "student_id": "user_00017", "resolution": "resolved", "resolution_confidence": "high", "n_messages": 22, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "what does \"is not equal to\" sign means"}, {"idx": 1, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "Example: {Y e R | x ≠ r}"}, {"idx": 2, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "It means, literally, x is not equal to r"}, {"idx": 3, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "Do you have some more context for this set? Or did you just make this one up?"}, {"idx": 4, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "@tatpoj"}, {"idx": 5, "role": "tutor", "category": "Non-Academic", "move": "Acknowledgment", "category_confidence": "high", "move_confidence": "high", "message_text": "Ahh okay"}, {"idx": 6, "role": "tutor", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": "okay my latex isn't working but whatever"}, {"idx": 7, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "It's saying the domain is all real numbers, except for 0"}, {"idx": 8, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "same for the range"}, {"idx": 9, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "Oh so it's just a undefined"}, {"idx": 10, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "?"}, {"idx": 11, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "what if it's going to be 1, not 0"}, {"idx": 12, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "so it will be {x e R | x =/ 1}?"}, {"idx": 13, "role": "tutor", "category": "Tutor-Academic", "move": "Correction", "category_confidence": "high", "move_confidence": "high", "message_text": "Don't mix up x and y like that"}, {"idx": 14, "role": "student", "category": "Student-Academic", "move": "Student-Confirm", "category_confidence": "high", "move_confidence": "high", "message_text": "yea"}, {"idx": 15, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Yeah, domain is for the x values, range is for the y values"}, {"idx": 16, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "And yes, what you wrote means all real numbers except 1"}, {"idx": 17, "role": "student", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "high", "move_confidence": "high", "message_text": "mhm, thanks"}, {"idx": 18, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Literally \"the set of real numbers x such that x is not equal to 1\""}, {"idx": 19, "role": "student", "category": "Student-Academic", "move": "Inference-Understanding", "category_confidence": "high", "move_confidence": "high", "message_text": "Got it"}, {"idx": 20, "role": "student", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "high", "move_confidence": "high", "message_text": "thank you so much"}, {"idx": 21, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": ".close"}]}
{"conversation_id": 705, "tutor_id": "user_00007", "tutor_tier": "expert", "tutor_score": 0.703216916919086, "student_id": "user_00018", "resolution": "unclear", "resolution_confidence": "high", "n_messages": 16, "messages": [{"idx": 0, "role": "student", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "low", "move_confidence": "high", "message_text": "help"}, {"idx": 1, "role": "student", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "low", "move_confidence": "high", "message_text": "can anyone solve this"}, {"idx": 2, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "which part"}, {"idx": 3, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "1 - 7"}, {"idx": 4, "role": "tutor", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "low", "move_confidence": "high", "message_text": "..."}, {"idx": 5, "role": "student", "category": "Socio-Emotional", "move": "Frustration", "category_confidence": "high", "move_confidence": "high", "message_text": "im really struggling"}, {"idx": 6, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "medium", "move_confidence": "high", "message_text": "okay so like, do you want *help* or do you want someone to do this for you"}, {"idx": 7, "role": "student", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "low", "move_confidence": "high", "message_text": "both"}, {"idx": 8, "role": "tutor", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": "we don't do other ppl's homework here"}, {"idx": 9, "role": "tutor", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "low", "move_confidence": "high", "message_text": "okay so like"}, {"idx": 10, "role": "tutor", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "low", "move_confidence": "high", "message_text": "as far as helping you goes"}, {"idx": 11, "role": "student", "category": "Non-Academic", "move": "Acknowledgment", "category_confidence": "high", "move_confidence": "high", "message_text": "ok"}, {"idx": 12, "role": "tutor", "category": "Tutor-Academic", "move": "Knowledge-Check", "category_confidence": "high", "move_confidence": "high", "message_text": "do you understand what \"\\_\\_\\_ property of equality\" means"}, {"idx": 13, "role": "tutor", "category": "Tutor-Academic", "move": "Knowledge-Check", "category_confidence": "high", "move_confidence": "high", "message_text": "where the blank is one of the four arithmetic operations"}, {"idx": 14, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "no i am having a hard time understanding"}, {"idx": 15, "role": "tutor", "category": "Tutor-Academic", "move": "Knowledge-Check", "category_confidence": "high", "move_confidence": "high", "message_text": "has your teacher not explained such concepts as \"adding the same thing to both sides\", \"multiplying the same thing to both sides\" etc?"}]}
{"conversation_id": 751, "tutor_id": "user_00016", "tutor_tier": "expert", "tutor_score": 0.6021660518249593, "student_id": "user_00019", "resolution": "abandoned", "resolution_confidence": "high", "n_messages": 6, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "I cant understand fraction"}, {"idx": 1, "role": "student", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": "Ask"}, {"idx": 2, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": ".Ask"}, {"idx": 3, "role": "tutor", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": "If you have a question, just post it."}, {"idx": 4, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "Tell me abt fraction pls"}, {"idx": 5, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "what do you m ean by fraction"}]}
{"conversation_id": 11, "tutor_id": "user_00005", "tutor_tier": "expert", "tutor_score": 0.6343659618419768, "student_id": "user_00020", "resolution": "unclear", "resolution_confidence": "medium", "n_messages": 51, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "what am I doing wrong?"}, {"idx": 1, "role": "tutor", "category": "Tutor-Academic", "move": "Correction", "category_confidence": "high", "move_confidence": "high", "message_text": "assuming it's an equilateral triangle"}, {"idx": 2, "role": "student", "category": "Student-Academic", "move": "Student-Confirm", "category_confidence": "high", "move_confidence": "high", "message_text": "yes"}, {"idx": 3, "role": "tutor", "category": "Tutor-Academic", "move": "Correction", "category_confidence": "high", "move_confidence": "high", "message_text": "when it clearly isn't an equilateral triangle"}, {"idx": 4, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "medium", "message_text": "i think its right"}, {"idx": 5, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Negative", "category_confidence": "high", "move_confidence": "high", "message_text": "it isnt"}, {"idx": 6, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "How?"}, {"idx": 7, "role": "tutor", "category": "Tutor-Academic", "move": "Correction", "category_confidence": "high", "move_confidence": "high", "message_text": "**it isnt an equilateral triangle**"}, {"idx": 8, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "medium", "move_confidence": "high", "message_text": "Read what I am saying."}, {"idx": 9, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "No how is it not Right"}, {"idx": 10, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "Right triangle"}, {"idx": 11, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "what?"}, {"idx": 12, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "it *is* a right triangle"}, {"idx": 13, "role": "student", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "high", "move_confidence": "high", "message_text": "ok thank you."}, {"idx": 14, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "That was evident from the right angle marking"}, {"idx": 15, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "Need some help"}, {"idx": 16, "role": "student", "category": "Non-Academic", "move": "Acknowledgment", "category_confidence": "high", "move_confidence": "high", "message_text": "Yes"}, {"idx": 17, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "Anyone know how to do this"}, {"idx": 18, "role": "student", "category": "Socio-Emotional", "move": "Frustration", "category_confidence": "high", "move_confidence": "high", "message_text": ":/"}, {"idx": 19, "role": "student", "category": "Socio-Emotional", "move": "Frustration", "category_confidence": "high", "move_confidence": "high", "message_text": "Can I please just have help"}, {"idx": 20, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Do the sin of the 45 degree"}, {"idx": 21, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "wdym"}, {"idx": 22, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "To find the x"}, {"idx": 23, "role": "student", "category": "Student-Academic", "move": "Explain-Reasoning", "category_confidence": "high", "move_confidence": "high", "message_text": "ok I thought that X and Y are also going to be 30"}, {"idx": 24, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "Arent they all ="}, {"idx": 25, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Ok this is fairly simple, lemme do it"}, {"idx": 26, "role": "student", "category": "Non-Academic", "move": "Acknowledgment", "category_confidence": "high", "move_confidence": "high", "message_text": "ok.."}, {"idx": 27, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "do not"}, {"idx": 28, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Scaffolding", "category_confidence": "high", "move_confidence": "high", "message_text": "Why"}, {"idx": 29, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "we don't give out answers here"}, {"idx": 30, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "neither should you"}, {"idx": 31, "role": "tutor", "category": "Non-Academic", "move": "Acknowledgment", "category_confidence": "high", "move_confidence": "high", "message_text": "Oh"}, {"idx": 32, "role": "tutor", "category": "Non-Academic", "move": "Acknowledgment", "category_confidence": "high", "move_confidence": "high", "message_text": "Ok"}, {"idx": 33, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "low", "move_confidence": "high", "message_text": "Can u help me do mine"}, {"idx": 34, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "low", "move_confidence": "high", "message_text": "I sent it above"}, {"idx": 35, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "low", "move_confidence": "high", "message_text": "A bit confused on how to set it up"}, {"idx": 36, "role": "tutor", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "reserve your own channel #❓how-to-get-help"}, {"idx": 37, "role": "student", "category": "Socio-Emotional", "move": "Frustration", "category_confidence": "high", "move_confidence": "high", "message_text": "someone just please help me"}, {"idx": 38, "role": "student", "category": "Socio-Emotional", "move": "Frustration", "category_confidence": "high", "move_confidence": "high", "message_text": "😦"}, {"idx": 39, "role": "tutor", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "@topadastay"}, {"idx": 40, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Solve for x and y"}, {"idx": 41, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "I dont know how?"}, {"idx": 42, "role": "tutor", "category": "Tutor-Academic", "move": "Correction", "category_confidence": "high", "move_confidence": "high", "message_text": "> Arent they all =\nno, this was already addressed by Mosh"}, {"idx": 43, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "what?"}, {"idx": 44, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Bruh I literally put it in simple terms for u to solve"}, {"idx": 45, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "consider the ratios of a 45°-45°-90° triangle\nand/or set up some trig equations"}, {"idx": 46, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "or even properties of an isosceles right triangle (and apply pythagoras)"}, {"idx": 47, "role": "tutor", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": ":akiss:"}, {"idx": 48, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "Still confused"}, {"idx": 49, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "?"}, {"idx": 50, "role": "tutor", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "@topadastay"}]}
{"conversation_id": 438, "tutor_id": "user_00021", "tutor_tier": "expert", "tutor_score": 0.6117538079125641, "student_id": "user_00022", "resolution": "unclear", "resolution_confidence": "high", "n_messages": 61, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "Why is this wrong"}, {"idx": 1, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "f' of tan is cos"}, {"idx": 2, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "because you should be getting a value"}, {"idx": 3, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "We can't plug t in though"}, {"idx": 4, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "so manipulate it until you can"}, {"idx": 5, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "or use lhopital"}, {"idx": 6, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "whichever works"}, {"idx": 7, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "How could we manipulate it though"}, {"idx": 8, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "The only thing I can see is multiplying by T^2"}, {"idx": 9, "role": "student", "category": "Student-Academic", "move": "Explain-Reasoning", "category_confidence": "high", "move_confidence": "high", "message_text": "But then T ends up in the numerator"}, {"idx": 10, "role": "student", "category": "Student-Academic", "move": "Explain-Reasoning", "category_confidence": "high", "move_confidence": "high", "message_text": "Making it zero"}, {"idx": 11, "role": "tutor", "category": "Tutor-Academic", "move": "Knowledge-Check", "category_confidence": "high", "move_confidence": "high", "message_text": "do you know abuot lhopital's rule"}, {"idx": 12, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "plug in 0 for all the t"}, {"idx": 13, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "if the numerator and denominator of the fraction both equal zero after doing that then you can take the derivative of the top and the bottom and try plugging t in again"}, {"idx": 14, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "I'll try that"}, {"idx": 15, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "I think it slipped my mind"}, {"idx": 16, "role": "tutor", "category": "Socio-Emotional", "move": "Frustration", "category_confidence": "high", "move_confidence": "high", "message_text": ":("}, {"idx": 17, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "if doing that makes it 0/0 again then take the derivative again"}, {"idx": 18, "role": "student", "category": "Socio-Emotional", "move": "Frustration", "category_confidence": "high", "move_confidence": "high", "message_text": "I hate to do this"}, {"idx": 19, "role": "student", "category": "Socio-Emotional", "move": "Frustration", "category_confidence": "high", "move_confidence": "high", "message_text": "but"}, {"idx": 20, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "Is the derivative of sin(5t)^2 cost(5t)^2?"}, {"idx": 21, "role": "student", "category": "Student-Academic", "move": "Knowledge-Recall", "category_confidence": "high", "move_confidence": "high", "message_text": "The derivative of sinx is cos x"}, {"idx": 22, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Negative", "category_confidence": "high", "move_confidence": "high", "message_text": "no"}, {"idx": 23, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "chain rule"}, {"idx": 24, "role": "student", "category": "Student-Academic", "move": "Student-Confirm", "category_confidence": "high", "move_confidence": "high", "message_text": "right"}, {"idx": 25, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "i forgor"}, {"idx": 26, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "So sin(5t) is g right"}, {"idx": 27, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "In which case it would be cos?"}, {"idx": 28, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "cos5t?"}, {"idx": 29, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "2 chain rules"}, {"idx": 30, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "you have 2 inner functions"}, {"idx": 31, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "wut"}, {"idx": 32, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "Sin(5t) is the inner, and x^2 is the outer tho"}, {"idx": 33, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "t^2 works with lhospitals rule"}, {"idx": 34, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "it's just two"}, {"idx": 35, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "?"}, {"idx": 36, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "How are there two inner functions"}, {"idx": 37, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "5t and sin(5t)"}, {"idx": 38, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "the first inner function being sin(5t), the second being 5t"}, {"idx": 39, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "How does chain rule work with more than one inner function"}, {"idx": 40, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "chain rule v2"}, {"idx": 41, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "We didnt learn that yet"}, {"idx": 42, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "you just keep doing it over and over"}, {"idx": 43, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "how though"}, {"idx": 44, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "here ill write it out"}, {"idx": 45, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "$\\dv{x}f(g(h(x)))=f'(g(h(x)))\\cdot g'(h(x)) \\cdot h'(x)$"}, {"idx": 46, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "this is so true"}, {"idx": 47, "role": "student", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "high", "move_confidence": "high", "message_text": "Tysm"}, {"idx": 48, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "So x^2 is g, sin(5t) is h, and 5t is x?"}, {"idx": 49, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "Wait how do I solve that without the derivative of f'(g(h(x))) when that is what we are solving for"}, {"idx": 50, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "Are the derivatives of trigs not real rules?"}, {"idx": 51, "role": "student", "category": "Socio-Emotional", "move": "Frustration", "category_confidence": "high", "move_confidence": "high", "message_text": "Zero reason this is wrong"}, {"idx": 52, "role": "student", "category": "Student-Academic", "move": "Breakthrough", "category_confidence": "high", "move_confidence": "high", "message_text": "Oh right fucking product rule"}, {"idx": 53, "role": "student", "category": "Socio-Emotional", "move": "Frustration", "category_confidence": "high", "move_confidence": "high", "message_text": "HOW"}, {"idx": 54, "role": "student", "category": "Student-Academic", "move": "Breakthrough", "category_confidence": "high", "move_confidence": "high", "message_text": "I DID THE PRODUCT RULE"}, {"idx": 55, "role": "student", "category": "Socio-Emotional", "move": "Frustration", "category_confidence": "high", "move_confidence": "high", "message_text": "Nah I am being dumb]"}, {"idx": 56, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "maybe it wants you to simplify it"}, {"idx": 57, "role": "student", "category": "Student-Academic", "move": "Explain-Reasoning", "category_confidence": "high", "move_confidence": "high", "message_text": "I did hte product rule wrong"}, {"idx": 58, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "But how is H''(theta)=-theta sin(theta+ *2* cos (theta)"}, {"idx": 59, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "Where the fuck does the 2 come from"}, {"idx": 60, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "Is theta not a variable?"}]}
{"conversation_id": 1399, "tutor_id": "user_00232", "tutor_tier": "expert", "tutor_score": 0.5884270030027029, "student_id": "user_00653", "resolution": "abandoned", "resolution_confidence": "high", "n_messages": 6, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "Can someone check my answers for b) and c) for #8?"}, {"idx": 1, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "Is the way i set up the shell diagram correct for 8?"}, {"idx": 2, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "@Helpers"}, {"idx": 3, "role": "tutor", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": "When you fail at all rules"}, {"idx": 4, "role": "tutor", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": "with one message"}, {"idx": 5, "role": "tutor", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "Use `.reopen` next time"}]}
{"conversation_id": 516, "tutor_id": "user_00001", "tutor_tier": "expert", "tutor_score": 0.6634141913559046, "student_id": "user_00136", "resolution": "resolved", "resolution_confidence": "high", "n_messages": 6, "messages": [{"idx": 0, "role": "student", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "high", "move_confidence": "high", "message_text": "Hello"}, {"idx": 1, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "Here, I do not understand third step:"}, {"idx": 2, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "You use the result from (1) and put it into (2)"}, {"idx": 3, "role": "tutor", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "@Mohmoka"}, {"idx": 4, "role": "student", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "high", "move_confidence": "high", "message_text": "Okay. Thank you 🙂"}, {"idx": 5, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": ".close"}]}
{"conversation_id": 1357, "tutor_id": "user_00007", "tutor_tier": "expert", "tutor_score": 0.703216916919086, "student_id": "user_01989", "resolution": "resolved", "resolution_confidence": "high", "n_messages": 7, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "A river flows at 3 km/h. At what rate should a boat sail in still water so that its actual speed upstream is 18 km/h?"}, {"idx": 1, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "When Jorrel was born his father was 25 years old. Now, his father is 3 years more than twice his age. How old is Jorrel now?\n\nLet Jorrel be x\n\nIs the equation \"2x+3-x=25\" correct for this problem?"}, {"idx": 2, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "when you say \"Let Jorrel be x\" do you mean \"Let **Jorrel's present age** be x\"?"}, {"idx": 3, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "if so, then yes, your equation is correct."}, {"idx": 4, "role": "student", "category": "Student-Academic", "move": "Student-Confirm", "category_confidence": "high", "move_confidence": "high", "message_text": "yes :))"}, {"idx": 5, "role": "student", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "high", "move_confidence": "high", "message_text": "Thank you!"}, {"idx": 6, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": ".close"}]}
{"conversation_id": 241, "tutor_id": "user_00005", "tutor_tier": "expert", "tutor_score": 0.6343659618419768, "student_id": "user_01990", "resolution": "unclear", "resolution_confidence": "high", "n_messages": 9, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "I'm supposed to solve the given IVP"}, {"idx": 1, "role": "student", "category": "Student-Academic", "move": "Explain-Reasoning", "category_confidence": "high", "move_confidence": "high", "message_text": "my work is above, although I think I'm not on the right track since ln of a negative is undefined and there is an answer in the textbook"}, {"idx": 2, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "this is the answer right here:"}, {"idx": 3, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "what confuses me the most is the part at the beginning where (1+2x) is multiplied by dy/dx. I try to separate them so I can get y on the other side, but this results in ln when antideriving which isn't in the answer at all."}, {"idx": 4, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "@Helpers"}, {"idx": 5, "role": "tutor", "category": "Tutor-Academic", "move": "Correction", "category_confidence": "high", "move_confidence": "high", "message_text": "forgot the abs value bars when you integrated"}, {"idx": 6, "role": "tutor", "category": "Tutor-Academic", "move": "Correction", "category_confidence": "high", "move_confidence": "high", "message_text": "also forgot the 1/2 that comes from integrating 1/(1+2x)"}, {"idx": 7, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "why would there be a 1/2?"}, {"idx": 8, "role": "student", "category": "Student-Academic", "move": "Explain-Reasoning", "category_confidence": "high", "move_confidence": "high", "message_text": "I thought since it's over 1 I would use ln"}]}
{"conversation_id": 116, "tutor_id": "user_00036", "tutor_tier": "expert", "tutor_score": 0.6673583077574297, "student_id": "user_00222", "resolution": "resolved", "resolution_confidence": "high", "n_messages": 14, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "is this correct?"}, {"idx": 1, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "so far"}, {"idx": 2, "role": "tutor", "category": "Tutor-Academic", "move": "Correction", "category_confidence": "high", "move_confidence": "high", "message_text": "you messed up a sign near the end"}, {"idx": 3, "role": "tutor", "category": "Tutor-Academic", "move": "Correction", "category_confidence": "high", "move_confidence": "high", "message_text": "-(-1) is +1"}, {"idx": 4, "role": "tutor", "category": "Tutor-Academic", "move": "Correction", "category_confidence": "high", "move_confidence": "high", "message_text": "i.e you should have +1 instead of -1 after evaluating the bounds"}, {"idx": 5, "role": "student", "category": "Student-Academic", "move": "Inference-Understanding", "category_confidence": "high", "move_confidence": "high", "message_text": "ahh true"}, {"idx": 6, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "should be + 1"}, {"idx": 7, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "what about the limit?"}, {"idx": 8, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "is the limit of ln part zero?"}, {"idx": 9, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "the difference of the lns with the ts, yes"}, {"idx": 10, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "it'll be clearer if you consider the difference to quotient law"}, {"idx": 11, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "yes lim at inf of $ln|\\frac{1+t}{t}|$ is $0$"}, {"idx": 12, "role": "student", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "high", "move_confidence": "high", "message_text": "thank you"}, {"idx": 13, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": ".close"}]}
{"conversation_id": 1944, "tutor_id": "user_00013", "tutor_tier": "expert", "tutor_score": 0.6712332759900356, "student_id": "user_00001", "resolution": "abandoned", "resolution_confidence": "high", "n_messages": 10, "messages": [{"idx": 0, "role": "student", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": "Okay, so i have a task to do with basic maths and im paying 10€ if someone can solve it.\nIf you know Coding (Javascript) it will be perfect.\nhttps://i.xpyth.dev/paclOR9l.png\n\nDefault rate:\na: 10\nb: 60\nc: 40 (ME)\n\nIf i put custom rate (Line 89)\na: ? (something like 8% ??)\nb: ?? (something like 50% ??)\nc: **60** (ME)\n\nIf i set my rate for c to **60**, how can i get the rate of a & b using their default rate and considering they will be shrinked because C is taking from their part.\nIf im not clear just tell me i will give mor details"}, {"idx": 1, "role": "student", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": "**10€ On the line rn, willing to pay a lil bit more if someone can even bring the code with it**"}, {"idx": 2, "role": "student", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": "(This is not homework assignment btw)"}, {"idx": 3, "role": "tutor", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "Please read #❓how-to-get-help and #rules"}, {"idx": 4, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "I don't think im violating the rules considering thoses are not homework assignment, am i wrong ? @dldh06 :/"}, {"idx": 5, "role": "tutor", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "Bullet 5 in rules"}, {"idx": 6, "role": "student", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "medium", "message_text": "Oh, do you know where this type of request could be placed ?"}, {"idx": 7, "role": "tutor", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "medium", "message_text": "I'm not sure sorry but definitely not this server"}, {"idx": 8, "role": "student", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "high", "move_confidence": "high", "message_text": "I see, thanks anyway i guess :/"}, {"idx": 9, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": ".close"}]}
{"conversation_id": 1663, "tutor_id": "user_00071", "tutor_tier": "expert", "tutor_score": 0.6502820717418395, "student_id": "user_01991", "resolution": "resolved", "resolution_confidence": "high", "n_messages": 24, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "Hi, Stupid question.\nWhat are the odds of picking one outcome out of three, if you have two attempts and the one you pick is removed from the pool? First time should be 1 of 3, or 33% second is 1 of 2, 50%. How is the total calculated?"}, {"idx": 1, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Multiplying the chances"}, {"idx": 2, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Chance AB = Chance A • Chance B"}, {"idx": 3, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "1/3 * 1/2 = 1/6"}, {"idx": 4, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "so 1/3*1/2= 1/6 ?"}, {"idx": 5, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "Yeah"}, {"idx": 6, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "That would be 16.6%?"}, {"idx": 7, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "Why is it lower than the 33.3% odds in the first attempt? Shouldn't it be higher? Sorry, I am just really confused."}, {"idx": 8, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "medium", "move_confidence": "low", "message_text": "Well lemme think"}, {"idx": 9, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "medium", "move_confidence": "high", "message_text": "Well I suck at probability so affirm my math with someone else"}, {"idx": 10, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "But I'm pretty sure it's 1/6"}, {"idx": 11, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Because it's Chance B dependent Chance A"}, {"idx": 12, "role": "student", "category": "Student-Academic", "move": "Explain-Reasoning", "category_confidence": "high", "move_confidence": "high", "message_text": "That's what got me confused. It seems odd to have lower odds when you get another attempt with even better odds."}, {"idx": 13, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "@werr there are 2 cases, getting the number first try and getting it on the second"}, {"idx": 14, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Chance of first try is 1/3"}, {"idx": 15, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Chance of 2nd try is the chance of the desired number x still being there (2/3) times the chance of getting the number x out of the 2 remaining ones (1/2).\nThis is ⅔•½=⅓"}, {"idx": 16, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Total chance is case 1 plus case 2, i.e ⅓ + ⅓=⅔"}, {"idx": 17, "role": "tutor", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "@werr"}, {"idx": 18, "role": "student", "category": "Student-Academic", "move": "Inference-Understanding", "category_confidence": "high", "move_confidence": "high", "message_text": "I see!"}, {"idx": 19, "role": "student", "category": "Student-Academic", "move": "Inference-Understanding", "category_confidence": "high", "move_confidence": "high", "message_text": "That makes sense!"}, {"idx": 20, "role": "student", "category": "Student-Academic", "move": "Inference-Understanding", "category_confidence": "high", "move_confidence": "high", "message_text": "So the second event is dependent on the first one failing"}, {"idx": 21, "role": "student", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "high", "move_confidence": "high", "message_text": "@Cubopia Thank you"}, {"idx": 22, "role": "tutor", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "high", "move_confidence": "high", "message_text": "No problem"}, {"idx": 23, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": ".close"}]}
{"conversation_id": 2045, "tutor_id": "user_00036", "tutor_tier": "expert", "tutor_score": 0.6673583077574297, "student_id": "user_00256", "resolution": "abandoned", "resolution_confidence": "high", "n_messages": 11, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "Can someone construct that for me"}, {"idx": 1, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "what exactly are you struggling with?"}, {"idx": 2, "role": "tutor", "category": "Tutor-Academic", "move": "Knowledge-Check", "category_confidence": "high", "move_confidence": "high", "message_text": "are you able to draw something that looks like a rectangle"}, {"idx": 3, "role": "student", "category": "Socio-Emotional", "move": "Frustration", "category_confidence": "high", "move_confidence": "high", "message_text": "I’m not understanding the question lol"}, {"idx": 4, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "Should I just draw a line of 90 deg then a diagonal of 8cm with base 7cm?"}, {"idx": 5, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "how accurate do you need this to be?"}, {"idx": 6, "role": "student", "category": "Student-Academic", "move": "Student-Confirm", "category_confidence": "high", "move_confidence": "high", "message_text": "As accurate as possible"}, {"idx": 7, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "you could start with what you described above"}, {"idx": 8, "role": "student", "category": "Student-Academic", "move": "Student-Confirm", "category_confidence": "medium", "move_confidence": "high", "message_text": "Alr I’ll do it now"}, {"idx": 9, "role": "student", "category": "Socio-Emotional", "move": "Frustration", "category_confidence": "high", "move_confidence": "high", "message_text": "Nope"}, {"idx": 10, "role": "student", "category": "Socio-Emotional", "move": "Frustration", "category_confidence": "high", "move_confidence": "high", "message_text": "Couldn’t do it"}]}
{"conversation_id": 1677, "tutor_id": "user_00025", "tutor_tier": "expert", "tutor_score": 0.6073392082926685, "student_id": "user_01791", "resolution": "resolved", "resolution_confidence": "high", "n_messages": 24, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "Not sure how to approach this one"}, {"idx": 1, "role": "student", "category": "Student-Academic", "move": "Knowledge-Recall", "category_confidence": "high", "move_confidence": "high", "message_text": "This lesson I learned how to find critical numbers"}, {"idx": 2, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Just draw a line"}, {"idx": 3, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "I mean like segment Connecting those two points"}, {"idx": 4, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "You will see that is an example"}, {"idx": 5, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "Ok from 0 to 2 right?"}, {"idx": 6, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "Yeah"}, {"idx": 7, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "(0,10) to (2,2)"}, {"idx": 8, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "Ok so next would be to get the equation for the line"}, {"idx": 9, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "So 4 is the slope I think"}, {"idx": 10, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "So (y-10)=-4(x-0)"}, {"idx": 11, "role": "tutor", "category": "Tutor-Academic", "move": "Correction", "category_confidence": "high", "move_confidence": "high", "message_text": "-4"}, {"idx": 12, "role": "student", "category": "Student-Academic", "move": "Breakthrough", "category_confidence": "high", "move_confidence": "high", "message_text": "Oh"}, {"idx": 13, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "Good"}, {"idx": 14, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "Y= -4x +10"}, {"idx": 15, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "Yeah"}, {"idx": 16, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "So derivative is -4"}, {"idx": 17, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "Which is less than 1 but how do I know if it's for all x? X isn't part of the derivative"}, {"idx": 18, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "?"}, {"idx": 19, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "f’(x)=-4 for any 0<x<2"}, {"idx": 20, "role": "student", "category": "Student-Academic", "move": "Student-Confirm", "category_confidence": "high", "move_confidence": "high", "message_text": "So the answer would be yes right?"}, {"idx": 21, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "Yeah"}, {"idx": 22, "role": "student", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "high", "move_confidence": "high", "message_text": "Thanks"}, {"idx": 23, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": ".close"}]}
{"conversation_id": 3948, "tutor_id": "user_00003", "tutor_tier": "expert", "tutor_score": 0.6618734662684774, "student_id": "user_01992", "resolution": "unclear", "resolution_confidence": "high", "n_messages": 7, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "can the radius of a circumscribed circle be equal to one of the side of triangle?"}, {"idx": 1, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "medium", "move_confidence": "low", "message_text": "im not sure on this"}, {"idx": 2, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "but visualize a right angled triangle ABC. C is the right angle"}, {"idx": 3, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "AB is the diameter"}, {"idx": 4, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Visualize moving point C"}, {"idx": 5, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "now surely somewhere along the way AC is equal to the radius"}, {"idx": 6, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "it varies between 0 and 2r"}]}
{"conversation_id": 767, "tutor_id": "user_00097", "tutor_tier": "expert", "tutor_score": 0.5772666423075934, "student_id": "user_01993", "resolution": "resolved", "resolution_confidence": "high", "n_messages": 51, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "Need help with these two"}, {"idx": 1, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "Let's start with no.2"}, {"idx": 2, "role": "student", "category": "Socio-Emotional", "move": "Frustration", "category_confidence": "high", "move_confidence": "high", "message_text": "Got no idea what to do"}, {"idx": 3, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "@Helpers"}, {"idx": 4, "role": "student", "category": "Socio-Emotional", "move": "Frustration", "category_confidence": "high", "move_confidence": "high", "message_text": ":sadcat:"}, {"idx": 5, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "@Helpers"}, {"idx": 6, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "sec x - tan x = 1/cos(x) - sin(x)/cos(x) = (1-sin(x))/cos(x) = (1-sin(x))/sqrt(1-sin^2(x))\n= (1-sin(x))/(sqrt(1-sin(x))*sqrt(1+sin(x)))"}, {"idx": 7, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "$\\sec(x) - \\tan(x) = \\frac{1-\\sin(x)}{(1-\\sin(x))^{1/2} \\sqrt{1+\\sin(x)}}$"}, {"idx": 8, "role": "student", "category": "Socio-Emotional", "move": "Frustration", "category_confidence": "high", "move_confidence": "medium", "message_text": ":eeveeThink:"}, {"idx": 9, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "*just tell what you don't understand in this*"}, {"idx": 10, "role": "student", "category": "Socio-Emotional", "move": "Frustration", "category_confidence": "high", "move_confidence": "high", "message_text": "*everything*"}, {"idx": 11, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "Maybe if you can go line by line"}, {"idx": 12, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "It'd be easier for me"}, {"idx": 13, "role": "tutor", "category": "Tutor-Academic", "move": "Knowledge-Check", "category_confidence": "high", "move_confidence": "high", "message_text": "you agree that sec(x) = 1/cos(x) and tan(x) = sin(x)/cos(x) ?"}, {"idx": 14, "role": "student", "category": "Student-Academic", "move": "Student-Confirm", "category_confidence": "high", "move_confidence": "high", "message_text": "Yep"}, {"idx": 15, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "medium", "message_text": "the rest is just algebra and playing with trig formula"}, {"idx": 16, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "How did you bring the sqrt"}, {"idx": 17, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "cos^2 x + sin^2 x = 1"}, {"idx": 18, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "So...cosx=√1-sin^2x ?"}, {"idx": 19, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "yea"}, {"idx": 20, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "Wait what did you do in the last line?"}, {"idx": 21, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "where"}, {"idx": 22, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "This"}, {"idx": 23, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "nothing, sqrt(x) is the same as x^{1/2}"}, {"idx": 24, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "Where did you get that sqrt(1+sinx)"}, {"idx": 25, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "*basic algebra*\n(a^2 - b^2) = (a-b)(a+b)"}, {"idx": 26, "role": "student", "category": "Student-Academic", "move": "Breakthrough", "category_confidence": "high", "move_confidence": "high", "message_text": "Oh"}, {"idx": 27, "role": "student", "category": "Student-Academic", "move": "Explain-Reasoning", "category_confidence": "high", "move_confidence": "high", "message_text": "I didn't know you could do that including the sqrt"}, {"idx": 28, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "sqrt(ab) = sqrt(a)sqrt(b)"}, {"idx": 29, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "medium", "message_text": "Ok but"}, {"idx": 30, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "What do I do next"}, {"idx": 31, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "To get the left hand side"}, {"idx": 32, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "*again basic algebra*\n\na^m/a^n = a^{m-n}"}, {"idx": 33, "role": "student", "category": "Socio-Emotional", "move": "Frustration", "category_confidence": "high", "move_confidence": "high", "message_text": "DAMMIT"}, {"idx": 34, "role": "student", "category": "Student-Academic", "move": "Inference-Understanding", "category_confidence": "high", "move_confidence": "high", "message_text": "I see"}, {"idx": 35, "role": "student", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "high", "move_confidence": "high", "message_text": "Thx"}, {"idx": 36, "role": "tutor", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "high", "move_confidence": "high", "message_text": "np"}, {"idx": 37, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "No.3"}, {"idx": 38, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "@Ｈｅｒｅｌｓ can you do no.3?"}, {"idx": 39, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Use the sec^2 a= 1+tan^2 a identity"}, {"idx": 40, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "On the left hand side or right hand side?"}, {"idx": 41, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Left"}, {"idx": 42, "role": "student", "category": "Non-Academic", "move": "Acknowledgment", "category_confidence": "high", "move_confidence": "high", "message_text": "Ok"}, {"idx": 43, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "I get, 1 + 2tan^2x + 2tan^4x"}, {"idx": 44, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "Do I break them to sin and cos?"}, {"idx": 45, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "u should rewrite the left side as sec^2 a(sec^2 a) + tan^2 a(tan^2 a)"}, {"idx": 46, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "and then sub one of the sec^2 a with the identity, and one of the tan^2 a with the identity"}, {"idx": 47, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "so sec^2 a (1+ tan^2 a) + tan^2 a (sec^2 a -1)"}, {"idx": 48, "role": "student", "category": "Socio-Emotional", "move": "Frustration", "category_confidence": "high", "move_confidence": "medium", "message_text": "Okay... :pandaHmm:"}, {"idx": 49, "role": "student", "category": "Student-Academic", "move": "Inference-Understanding", "category_confidence": "high", "move_confidence": "high", "message_text": "Thanks got it"}, {"idx": 50, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": ".close"}]}
{"conversation_id": 4182, "tutor_id": "user_00021", "tutor_tier": "expert", "tutor_score": 0.6117538079125641, "student_id": "user_01018", "resolution": "resolved", "resolution_confidence": "high", "n_messages": 8, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "h(x)=sqrt(x+4). h(x) is a composite function of f and g such that h(x)=f(g(x)). Give solutions for f and g."}, {"idx": 1, "role": "tutor", "category": "Tutor-Academic", "move": "Knowledge-Check", "category_confidence": "high", "move_confidence": "high", "message_text": "what do you know about composite functions"}, {"idx": 2, "role": "student", "category": "Student-Academic", "move": "Explain-Reasoning", "category_confidence": "high", "move_confidence": "medium", "message_text": "u put in what g(x) equals into f"}, {"idx": 3, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Scaffolding", "category_confidence": "high", "move_confidence": "high", "message_text": "yeah so have you tried any f or g?"}, {"idx": 4, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "g=x+4\nf=sqrtx"}, {"idx": 5, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "that's a good one"}, {"idx": 6, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "how many are you asked?"}, {"idx": 7, "role": "student", "category": "Student-Academic", "move": "Student-Confirm", "category_confidence": "high", "move_confidence": "high", "message_text": "1"}]}
{"conversation_id": 2888, "tutor_id": "user_00044", "tutor_tier": "expert", "tutor_score": 0.6597311556312403, "student_id": "user_01994", "resolution": "resolved", "resolution_confidence": "high", "n_messages": 32, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "I have to simplify terms but dont understand how the result came to be. What rules were applied and how?\nWhat happened to the \"-2\" from the bottom \"s^b-2\" and the positive \"r^3*a+b\" in the bottom in the last step"}, {"idx": 1, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "1 + a + b - (3a + b)"}, {"idx": 2, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "b - (b - 2)"}, {"idx": 3, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "calculate those two and you'll see"}, {"idx": 4, "role": "student", "category": "Student-Academic", "move": "Inference-Understanding", "category_confidence": "high", "move_confidence": "high", "message_text": "okay i get now how the result came to be. By just subtracting them. But why? Is there a rule for when i subtract a bottom term with a  top term ?"}, {"idx": 5, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "https://www.cuemath.com/algebra/exponent-rules/"}, {"idx": 6, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "you should have all these memorized"}, {"idx": 7, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "by doing more problems that involves using it."}, {"idx": 8, "role": "tutor", "category": "Tutor-Academic", "move": "Correction", "category_confidence": "high", "move_confidence": "high", "message_text": "Not memorised more like know what they mean and from where they come from"}, {"idx": 9, "role": "tutor", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": "i hear what you're saying. and i just disagree"}, {"idx": 10, "role": "tutor", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": "*sigma male music starts playin*"}, {"idx": 11, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Memorising math is a very bad idea"}, {"idx": 12, "role": "tutor", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": "Giving away ur race, RACE REVEAL"}, {"idx": 13, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "not really, just do more problems."}, {"idx": 14, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "bad idea for what? grades? i don't think so"}, {"idx": 15, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Bad idea for actually understanding it"}, {"idx": 16, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "i think doing more problems leads to memorizing"}, {"idx": 17, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Memorising and understanding aren’t mutually exclusive"}, {"idx": 18, "role": "tutor", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": "😭"}, {"idx": 19, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Feel free to convince salber to be able to derive each of the exponent rules in the list and understand it"}, {"idx": 20, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "i know most of these bust still fail to see which of those rules state what i can do in my problem."}, {"idx": 21, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "If you dont care about understanding math you might as well just use wolfram alpha. I mean you will get good grades , right?"}, {"idx": 22, "role": "tutor", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": ":hmmm:"}, {"idx": 23, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "are you sure"}, {"idx": 24, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "first and last one"}, {"idx": 25, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "The logic is to be understood obv , but the the notation are simply just memorization work , and they are there purely for everyone to be able to understand"}, {"idx": 26, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "there are _some_ things you don't need to understand and better off memorizing. this is one of them."}, {"idx": 27, "role": "tutor", "category": "Tutor-Academic", "move": "Correction", "category_confidence": "high", "move_confidence": "high", "message_text": "actually just the first one"}, {"idx": 28, "role": "student", "category": "Student-Academic", "move": "Breakthrough", "category_confidence": "high", "move_confidence": "high", "message_text": "ah great. i overlooked that. Thx for the help"}, {"idx": 29, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Ban the ÷ sign , it's useless"}, {"idx": 30, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "And it causes confusion sometime"}, {"idx": 31, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": ".close"}]}
{"conversation_id": 546, "tutor_id": "user_02621", "tutor_tier": "novice", "tutor_score": 0.4013880577911094, "student_id": "user_02622", "resolution": "resolved", "resolution_confidence": "high", "n_messages": 16, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "f is function that take vector v and calculate the angle with the vector (1,0) counterclockwise. Is f continuous?"}, {"idx": 1, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Scaffolding", "category_confidence": "high", "move_confidence": "high", "message_text": "think about what the values are right before and eight after (1,0)"}, {"idx": 2, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "I can't see that"}, {"idx": 3, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "so the angle is 0 directly at (1,0), right, and as you go ccw, the angle gets bigger"}, {"idx": 4, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "by the same it's almost back to (1,0) it's at almost 2pi, then it jumps back down to 0 right at that point"}, {"idx": 5, "role": "student", "category": "Student-Academic", "move": "Inference-Understanding", "category_confidence": "medium", "move_confidence": "medium", "message_text": "Mmmmm"}, {"idx": 6, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "so actually there is uncontinuous on the x axis?"}, {"idx": 7, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Negative", "category_confidence": "high", "move_confidence": "high", "message_text": "I don't think how you said that is right"}, {"idx": 8, "role": "tutor", "category": "Tutor-Academic", "move": "Correction", "category_confidence": "high", "move_confidence": "high", "message_text": "it's defined for all R^2 in the input, but the output isn't continuous"}, {"idx": 9, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "yeah I just wonder where it isn't continous"}, {"idx": 10, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "@兔子"}, {"idx": 11, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "at a(1,0)"}, {"idx": 12, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "where a is a scalar"}, {"idx": 13, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "oh so the positive x-axis?"}, {"idx": 14, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "yeah more or less"}, {"idx": 15, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "that's the only place where we have that jump"}]}
{"conversation_id": 92, "tutor_id": "user_02256", "tutor_tier": "novice", "tutor_score": 0.362802229235395, "student_id": "user_00204", "resolution": "resolved", "resolution_confidence": "high", "n_messages": 6, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "i need help with this"}, {"idx": 1, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "idk how to explain this to my friend"}, {"idx": 2, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "If the oil price is 100€ and the price goes up by 20% it now cost 120€. But if it goes back down to 100€ you have only a decrease by 17%. since the difference of 20€ is less percent of 120 then of 100"}, {"idx": 3, "role": "student", "category": "Student-Academic", "move": "Student-Confirm", "category_confidence": "high", "move_confidence": "high", "message_text": "yeah thats what i told him"}, {"idx": 4, "role": "student", "category": "Student-Academic", "move": "Knowledge-Recall", "category_confidence": "high", "move_confidence": "high", "message_text": "nvm its fine i thihnk i know how to"}, {"idx": 5, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "/close"}]}
{"conversation_id": 445, "tutor_id": "user_02231", "tutor_tier": "mid", "tutor_score": 0.4910978744318758, "student_id": "user_00001", "resolution": "abandoned", "resolution_confidence": "high", "n_messages": 10, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "Help?"}, {"idx": 1, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "What do you need to find? Where are you stuck at?"}, {"idx": 2, "role": "tutor", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "low", "move_confidence": "high", "message_text": "e"}, {"idx": 3, "role": "student", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "low", "move_confidence": "high", "message_text": "Grade"}, {"idx": 4, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "How big is C"}, {"idx": 5, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "So you need to find angle C right?"}, {"idx": 6, "role": "student", "category": "Student-Academic", "move": "Student-Confirm", "category_confidence": "high", "move_confidence": "high", "message_text": "YH"}, {"idx": 7, "role": "tutor", "category": "Tutor-Academic", "move": "Knowledge-Check", "category_confidence": "high", "move_confidence": "high", "message_text": "Do you know what is the sum of all the angles in a triangle?"}, {"idx": 8, "role": "student", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": "Nvm"}, {"idx": 9, "role": "tutor", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": "?"}]}
{"conversation_id": 696, "tutor_id": "user_00371", "tutor_tier": "mid", "tutor_score": 0.5223362997415856, "student_id": "user_02623", "resolution": "unclear", "resolution_confidence": "medium", "n_messages": 18, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "for b would it be (1/3+h-1) - (1/3-1) / h"}, {"idx": 1, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "Did you mean $\\frac{f(3+h) - f(3)}{3+h-3}$"}, {"idx": 2, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "If so yes, that's good"}, {"idx": 3, "role": "student", "category": "Socio-Emotional", "move": "Frustration", "category_confidence": "high", "move_confidence": "high", "message_text": "oh my"}, {"idx": 4, "role": "student", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "high", "move_confidence": "high", "message_text": "thank you haha"}, {"idx": 5, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "where would the 3+ h - 3 come from?"}, {"idx": 6, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "what about the -1?"}, {"idx": 7, "role": "tutor", "category": "Tutor-Academic", "move": "Knowledge-Check", "category_confidence": "high", "move_confidence": "high", "message_text": "This is the limit definition you learned?"}, {"idx": 8, "role": "student", "category": "Student-Academic", "move": "Student-Confirm", "category_confidence": "high", "move_confidence": "high", "message_text": "yes sir"}, {"idx": 9, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "The limit definition is actually $\\frac{f(x+h) - f(x)}{x+h-x} = \\frac{f(x+h)-f(x)}{h}$"}, {"idx": 10, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "medium", "message_text": "So same thing really"}, {"idx": 11, "role": "student", "category": "Student-Academic", "move": "Inference-Understanding", "category_confidence": "high", "move_confidence": "medium", "message_text": "oh"}, {"idx": 12, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "$f(3+h) = \\frac{1}{3+h-1}$"}, {"idx": 13, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "So it seems what you did above was right"}, {"idx": 14, "role": "student", "category": "Student-Academic", "move": "Inference-Understanding", "category_confidence": "high", "move_confidence": "medium", "message_text": "ohh"}, {"idx": 15, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "how do i carry on there from there"}, {"idx": 16, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "So you have $\\frac{\\frac{1}{3+h-1}-\\frac{1}{2}}{h}$"}, {"idx": 17, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Get it over common denominator"}]}
{"conversation_id": 334, "tutor_id": "user_02624", "tutor_tier": "novice", "tutor_score": 0.2712188509582981, "student_id": "user_01127", "resolution": "unclear", "resolution_confidence": "medium", "n_messages": 46, "messages": [{"idx": 0, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "@Helpers"}, {"idx": 1, "role": "tutor", "category": "Tutor-Academic", "move": "Knowledge-Check", "category_confidence": "high", "move_confidence": "high", "message_text": "Do you know midpoint theorem"}, {"idx": 2, "role": "student", "category": "Student-Academic", "move": "Student-Confirm", "category_confidence": "high", "move_confidence": "high", "message_text": "yes"}, {"idx": 3, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "the formula right?"}, {"idx": 4, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "(x1+x2)/2, (y1+y2)/2"}, {"idx": 5, "role": "student", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": "lava"}, {"idx": 6, "role": "student", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "high", "move_confidence": "high", "message_text": "hola"}, {"idx": 7, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”"}, {"idx": 8, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "and The converse of the midpoint theorem states that ” if a line is drawn through the midpoint of one side of a triangle, and parallel to the other side, it bisects the third side”"}, {"idx": 9, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "didn't knew these"}, {"idx": 10, "role": "student", "category": "Student-Academic", "move": "Explain-Reasoning", "category_confidence": "high", "move_confidence": "high", "message_text": "i was preparing for math olympiad but there was no solution to this problem"}, {"idx": 11, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Scaffolding", "category_confidence": "high", "move_confidence": "high", "message_text": "can u see that DE= BF=BC/2=16"}, {"idx": 12, "role": "student", "category": "Student-Academic", "move": "Student-Confirm", "category_confidence": "high", "move_confidence": "high", "message_text": "yes"}, {"idx": 13, "role": "student", "category": "Student-Academic", "move": "Inference-Understanding", "category_confidence": "high", "move_confidence": "high", "message_text": "i can understand that"}, {"idx": 14, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "DM=1/2DE=8"}, {"idx": 15, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "how dm = 1/2?"}, {"idx": 16, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Scaffolding", "category_confidence": "high", "move_confidence": "high", "message_text": "is E the midpoint of AC?"}, {"idx": 17, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "DM = 1/2DE"}, {"idx": 18, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "which basically means DM is DE by a half"}, {"idx": 19, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "By converse of midpoint, yes"}, {"idx": 20, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "low", "message_text": "i see"}, {"idx": 21, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "i suppose we use the Thales theorem"}, {"idx": 22, "role": "student", "category": "Student-Academic", "move": "Breakthrough", "category_confidence": "high", "move_confidence": "high", "message_text": "oh"}, {"idx": 23, "role": "student", "category": "Student-Academic", "move": "Breakthrough", "category_confidence": "high", "move_confidence": "high", "message_text": "got it"}, {"idx": 24, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "medium", "message_text": "here"}, {"idx": 25, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "this is how i would do this"}, {"idx": 26, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "since AB = BC"}, {"idx": 27, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "and AB is 32"}, {"idx": 28, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "then BC would be 32 also"}, {"idx": 29, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "you can say midpoint a special case of thales"}, {"idx": 30, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "use Thales theorem for DE // BC and EF // AB accordingly"}, {"idx": 31, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "yep"}, {"idx": 32, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "from what lava said here we can say that DE = 1/2BC and EF = 1/2AB"}, {"idx": 33, "role": "student", "category": "Non-Academic", "move": "Acknowledgment", "category_confidence": "high", "move_confidence": "high", "message_text": "ok"}, {"idx": 34, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "DM = 4, MO =?"}, {"idx": 35, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "1/2 X DM X MO"}, {"idx": 36, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "mo? = ?"}, {"idx": 37, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "low", "message_text": "hm"}, {"idx": 38, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "mo = 1/3AB?"}, {"idx": 39, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "yes, we have to find MO"}, {"idx": 40, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "applying converse of midpoint in DEF, we get MO=1/2EF"}, {"idx": 41, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "since D and F are midpoints of AB and B respectively, we can derive that BD=BF so DEFB is a square"}, {"idx": 42, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "so MO = 8?"}, {"idx": 43, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "area of dmo = 16?"}, {"idx": 44, "role": "tutor", "category": "Tutor-Academic", "move": "Correction", "category_confidence": "high", "move_confidence": "high", "message_text": "no 32"}, {"idx": 45, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "1/2\\*8*8"}]}
{"conversation_id": 96, "tutor_id": "user_02194", "tutor_tier": "novice", "tutor_score": 0.4330679729069457, "student_id": "user_02625", "resolution": "resolved", "resolution_confidence": "high", "n_messages": 37, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "what does it mean for this expression inside the limit to “not be differentiable at 0”"}, {"idx": 1, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "it's not defined at 0"}, {"idx": 2, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "contrary |x| is defined at 0 but also not differentiable"}, {"idx": 3, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "To not be differentiable at 0 doesn't mean to not be defined at 0"}, {"idx": 4, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "An interval where the function is differentiable and an interval where the function is defined is very distinguishable"}, {"idx": 5, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "In fact, the function f(x)=|x| is differentiable at everywhere, except 0, so its interval of differentiability would be R*=R\\\\{0}"}, {"idx": 6, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "But its definition set is all R"}, {"idx": 7, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Well here, for any x different than 0, you have x/x = 1"}, {"idx": 8, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Since the limit when x goes to a is about looking at a function infinitely close to the a value, but not exactly on it"}, {"idx": 9, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "You'll never be on 0"}, {"idx": 10, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "So by simplifying ln(x²)/ln(x²)"}, {"idx": 11, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "You're getting a constant"}, {"idx": 12, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "That doesn't vary with respect to x"}, {"idx": 13, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "So it's the limit you are searching for"}, {"idx": 14, "role": "tutor", "category": "Tutor-Academic", "move": "Correction", "category_confidence": "high", "move_confidence": "high", "message_text": "that's not what they asked"}, {"idx": 15, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "u are only referring to the fraction, ignoring limit?"}, {"idx": 16, "role": "student", "category": "Student-Academic", "move": "Student-Confirm", "category_confidence": "high", "move_confidence": "high", "message_text": "yeah"}, {"idx": 17, "role": "tutor", "category": "Tutor-Academic", "move": "Knowledge-Check", "category_confidence": "high", "move_confidence": "high", "message_text": "Definition of differentiable?"}, {"idx": 18, "role": "tutor", "category": "Socio-Emotional", "move": "Frustration", "category_confidence": "high", "move_confidence": "high", "message_text": "huh, why isn't it differentiable at 0 🤔 \nI'm not rlly with it today"}, {"idx": 19, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "medium", "message_text": "I'm guessing there's a discontinuity there"}, {"idx": 20, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Oh right, the limit doesn't exist because f(a) doesn't even exist"}, {"idx": 21, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "f(0) is undefined"}, {"idx": 22, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "f(0) gives infinity/infinity"}, {"idx": 23, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "If $800 is deposited in an account that pays 9% annual interest, compounded semiannually, find the balance after 10 years."}, {"idx": 24, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "Need help with this"}, {"idx": 25, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "I got 1929.37122 this I’m not sure if it’s right"}, {"idx": 26, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "#❓how-to-get-help"}, {"idx": 27, "role": "student", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "medium", "message_text": "this channel’s occupied"}, {"idx": 28, "role": "tutor", "category": "Non-Academic", "move": "Acknowledgment", "category_confidence": "high", "move_confidence": "high", "message_text": "?"}, {"idx": 29, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "f(0) gives nothing because ln(0) is not defined"}, {"idx": 30, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "so simply if a function’s not defined at a value, it’s derivative doesn’t exist?"}, {"idx": 31, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "because the function doesn’t exist?"}, {"idx": 32, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "why’s this not differentiable?"}, {"idx": 33, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "it's not differentiable in 0 because there are multiple tangents to that point"}, {"idx": 34, "role": "student", "category": "Student-Academic", "move": "Inference-Understanding", "category_confidence": "high", "move_confidence": "high", "message_text": "oh okay"}, {"idx": 35, "role": "student", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "high", "move_confidence": "high", "message_text": "ty"}, {"idx": 36, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": ".close"}]}
{"conversation_id": 698, "tutor_id": "user_02626", "tutor_tier": "mid", "tutor_score": 0.5310173964856517, "student_id": "user_00039", "resolution": "resolved", "resolution_confidence": "high", "n_messages": 25, "messages": [{"idx": 0, "role": "student", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": "here"}, {"idx": 1, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "why isn’t it\n$R_n > \\int_{n + 1}^{\\infty} f(x) \\dd x$ instead"}, {"idx": 2, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "isn’t it guaranteed to overestimate"}, {"idx": 3, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "it's an infinity thing, you can't say $R_n > \\infty$"}, {"idx": 4, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "so if the thing on the right diverges to $\\infty$"}, {"idx": 5, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "then you end up with $R_n = \\infty$ also"}, {"idx": 6, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "there's also a second case, when $f(x) = 0$ for all $x$, in which case $R_n = 0$ and the RHS is also $0$, so it must be an equality"}, {"idx": 7, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "but the integral test wouldn’t apply :sully:"}, {"idx": 8, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "aren’t we assuming the integral test is applicable here"}, {"idx": 9, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "and that the series (hence the integral) converges in the first place"}, {"idx": 10, "role": "tutor", "category": "Tutor-Academic", "move": "Knowledge-Check", "category_confidence": "high", "move_confidence": "high", "message_text": "what is the exact statement of the integral test?"}, {"idx": 11, "role": "student", "category": "Student-Academic", "move": "Knowledge-Recall", "category_confidence": "high", "move_confidence": "high", "message_text": "for +ve cont. dec f, series of f converges iff integral of f converges"}, {"idx": 12, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "i'm going to write that in words cause it's painful to read"}, {"idx": 13, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "in fact the true statement is somewhat more"}, {"idx": 14, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "wdym"}, {"idx": 15, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Let $N\\in\\bN$ and $f$ be a monotonically decreasing function on some unbounded interval $[N,\\infty)$. Then, $$\\sum_{n=N}^\\infty f(n) < \\infty \\iff \\int_N^\\infty f(x) dx < \\infty.$$"}, {"idx": 16, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "not strictly decreasing?"}, {"idx": 17, "role": "tutor", "category": "Tutor-Academic", "move": "Correction", "category_confidence": "high", "move_confidence": "high", "message_text": "no need"}, {"idx": 18, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "continuity isn't strictly needed also, but in anywhere before advanced real analysis, you will assume continuity"}, {"idx": 19, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "any examples?"}, {"idx": 20, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "$f\\equiv 0$"}, {"idx": 21, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "what’s the integral of 0 😦"}, {"idx": 22, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "0"}, {"idx": 23, "role": "student", "category": "Non-Academic", "move": "Acknowledgment", "category_confidence": "high", "move_confidence": "high", "message_text": "alright"}, {"idx": 24, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": ".close"}]}
{"conversation_id": 542, "tutor_id": "user_00039", "tutor_tier": "mid", "tutor_score": 0.5723287371019027, "student_id": "user_02627", "resolution": "resolved", "resolution_confidence": "high", "n_messages": 65, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "What are the total number of 12 letter words that contain 3 'A's and 2'E's?"}, {"idx": 1, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "define 'word'"}, {"idx": 2, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "Dude we can make words from all the alphabet?"}, {"idx": 3, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "sufosumosdumfosdmf <- is this a word?"}, {"idx": 4, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "@s_chanch no need of meaning ig"}, {"idx": 5, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "i need to make sure by word he means 'any combination of letters'"}, {"idx": 6, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "My answer is 26c12/3!×2!"}, {"idx": 7, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "26c12 assumes that its all unique letters right?"}, {"idx": 8, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "i think its 26^7/3!2!"}, {"idx": 9, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Scaffolding", "category_confidence": "high", "move_confidence": "high", "message_text": "Why?"}, {"idx": 10, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "all the words  possible"}, {"idx": 11, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "with or without meaning"}, {"idx": 12, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "???"}, {"idx": 13, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "oh"}, {"idx": 14, "role": "student", "category": "Student-Academic", "move": "Student-Confirm", "category_confidence": "high", "move_confidence": "high", "message_text": "yeah exactly any combination of letters"}, {"idx": 15, "role": "tutor", "category": "Tutor-Academic", "move": "Knowledge-Check", "category_confidence": "high", "move_confidence": "high", "message_text": "you know combinations right?"}, {"idx": 16, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "computing n choose k"}, {"idx": 17, "role": "student", "category": "Student-Academic", "move": "Knowledge-Recall", "category_confidence": "high", "move_confidence": "high", "message_text": "yeah i do"}, {"idx": 18, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "@Not Trout in this case u r saying repitition is allowed for all alphabets"}, {"idx": 19, "role": "tutor", "category": "Tutor-Academic", "move": "Knowledge-Check", "category_confidence": "high", "move_confidence": "high", "message_text": "but you don't know how to approach this?"}, {"idx": 20, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "What you all talking bout"}, {"idx": 21, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "but im confused with how to calculate the question"}, {"idx": 22, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "wait is"}, {"idx": 23, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "zzzzzzzzzzzz"}, {"idx": 24, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "a possible word"}, {"idx": 25, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "assuming thats 12 Zs"}, {"idx": 26, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "But  there's no 3a or 2 e?"}, {"idx": 27, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "so you're asking for the number of strings such that:\n- contains 3 'A's\n- contains 2 'E's\n- is 12 in length"}, {"idx": 28, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "like... i dont know if i should do permutation for those 5 letters or do permutation for all or do multiplhying with all"}, {"idx": 29, "role": "student", "category": "Student-Academic", "move": "Student-Confirm", "category_confidence": "high", "move_confidence": "high", "message_text": "yeah"}, {"idx": 30, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "that's the _total_"}, {"idx": 31, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "now you would want to then change that to yk"}, {"idx": 32, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "It' should contain 3a and 2e"}, {"idx": 33, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "try considering (conditions 1 and 3) and (conditions 2 and 3)"}, {"idx": 34, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "yes BUT im not doing the conditions yet"}, {"idx": 35, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "i wanna know"}, {"idx": 36, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "?so how can it be z 12 times?"}, {"idx": 37, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "and then combine them"}, {"idx": 38, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "how many possible words you can form then do complimentary counting"}, {"idx": 39, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Negative", "category_confidence": "high", "move_confidence": "high", "message_text": "Nope"}, {"idx": 40, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "We have 12 places i think the answer is 3c1 2c1 24c10/2!×3!"}, {"idx": 41, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "actually"}, {"idx": 42, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "24^7 x [ways you can mess up 3As and 2Es]"}, {"idx": 43, "role": "tutor", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": "so now second term is 5!/3!2!"}, {"idx": 44, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "lol"}, {"idx": 45, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "U r taking power 7 cuz a and e aren't same?"}, {"idx": 46, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "just consider the possible placements"}, {"idx": 47, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "of a and e"}, {"idx": 48, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "the rest of the spaces can be anything but a or e"}, {"idx": 49, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Yeah but ita very long"}, {"idx": 50, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "wdym"}, {"idx": 51, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Yeah I didn't think of it"}, {"idx": 52, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Scaffolding", "category_confidence": "high", "move_confidence": "high", "message_text": "Then it'll be 12c2×24c10?"}, {"idx": 53, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "@s_chanch uhm makes sense"}, {"idx": 54, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Yeah I got it ig 12c3×9c2×24^7"}, {"idx": 55, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "dont spoil"}, {"idx": 56, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "is it (12C2) * (10C3) * (26)^7?"}, {"idx": 57, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "@Phoenix775 I'm getting that it  can be wrong"}, {"idx": 58, "role": "student", "category": "Student-Academic", "move": "Student-Confirm", "category_confidence": "high", "move_confidence": "high", "message_text": "yeah i got that too and a friend of mine got that answer as well"}, {"idx": 59, "role": "student", "category": "Socio-Emotional", "move": "Frustration", "category_confidence": "high", "move_confidence": "high", "message_text": "for some reason i have a bad feeeling about this answer"}, {"idx": 60, "role": "student", "category": "Socio-Emotional", "move": "Frustration", "category_confidence": "high", "move_confidence": "high", "message_text": "cuz the last time i used this method of \"eliminating\" the requirements it didnt end up correct"}, {"idx": 61, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "Oh ok"}, {"idx": 62, "role": "student", "category": "Socio-Emotional", "move": "Confidence-Express", "category_confidence": "high", "move_confidence": "high", "message_text": "but meh ig since the 3 of us got the same answer it must be correct"}, {"idx": 63, "role": "student", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "high", "move_confidence": "high", "message_text": "thanks :)"}, {"idx": 64, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": ".close"}]}
{"conversation_id": 290, "tutor_id": "user_00039", "tutor_tier": "mid", "tutor_score": 0.5723287371019027, "student_id": "user_00001", "resolution": "abandoned", "resolution_confidence": "high", "n_messages": 63, "messages": [{"idx": 0, "role": "student", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "high", "move_confidence": "high", "message_text": "Hi"}, {"idx": 1, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "i need help with polynomials"}, {"idx": 2, "role": "tutor", "category": "Tutor-Academic", "move": "Knowledge-Check", "category_confidence": "high", "move_confidence": "high", "message_text": "do you know what degree 5 means"}, {"idx": 3, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "no not really"}, {"idx": 4, "role": "student", "category": "Student-Academic", "move": "Breakthrough", "category_confidence": "high", "move_confidence": "medium", "message_text": "or wait"}, {"idx": 5, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "would it be 5x5y3?"}, {"idx": 6, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "would the answer be 5?"}, {"idx": 7, "role": "tutor", "category": "Tutor-Academic", "move": "Knowledge-Check", "category_confidence": "high", "move_confidence": "high", "message_text": "do you know the difference between coeffcient and variable?"}, {"idx": 8, "role": "student", "category": "Student-Academic", "move": "Student-Confirm", "category_confidence": "high", "move_confidence": "high", "message_text": "yes"}, {"idx": 9, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "medium", "message_text": "alright so"}, {"idx": 10, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "lets talk about degree of a term"}, {"idx": 11, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "basically, we add the exponents of all the variables of a term together"}, {"idx": 12, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "to get degree of a term"}, {"idx": 13, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "for example, $6x^2y^3$"}, {"idx": 14, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "its degree is 5, because the variables are x and y, and adding their powers tgt we get 5"}, {"idx": 15, "role": "student", "category": "Student-Academic", "move": "Breakthrough", "category_confidence": "high", "move_confidence": "high", "message_text": "ohhhhhh"}, {"idx": 16, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "so it would be 2?"}, {"idx": 17, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "polynomials are just sums of multiple terms"}, {"idx": 18, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "those terms have different degrees"}, {"idx": 19, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "deg of a polynomial is just the biggest of them"}, {"idx": 20, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "low", "message_text": "so, yea"}, {"idx": 21, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "could you help with another one please?"}, {"idx": 22, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "sure"}, {"idx": 23, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "standard form means descending power"}, {"idx": 24, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "so $x + x^2$ is not standard form"}, {"idx": 25, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "and $x^3 + xy + 1$ is"}, {"idx": 26, "role": "student", "category": "Student-Academic", "move": "Breakthrough", "category_confidence": "high", "move_confidence": "medium", "message_text": "oh wait"}, {"idx": 27, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "low", "message_text": "sorry"}, {"idx": 28, "role": "student", "category": "Student-Academic", "move": "Explain-Reasoning", "category_confidence": "high", "move_confidence": "high", "message_text": "so i thought the answer would be $6^3$"}, {"idx": 29, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "but that cant be right"}, {"idx": 30, "role": "student", "category": "Socio-Emotional", "move": "Frustration", "category_confidence": "high", "move_confidence": "high", "message_text": "im so confused"}, {"idx": 31, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "do you understand this"}, {"idx": 32, "role": "student", "category": "Student-Academic", "move": "Student-Confirm", "category_confidence": "high", "move_confidence": "high", "message_text": "no"}, {"idx": 33, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "a polynomial is in standard form"}, {"idx": 34, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "if and only if"}, {"idx": 35, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "all terms are **arranged** in descending order of power"}, {"idx": 36, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "so here, the power order is 1, 2"}, {"idx": 37, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "which is not desending"}, {"idx": 38, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "here, it's 3, 2, 0"}, {"idx": 39, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "which is indeed descending"}, {"idx": 40, "role": "student", "category": "Non-Academic", "move": "Acknowledgment", "category_confidence": "high", "move_confidence": "high", "message_text": "ok"}, {"idx": 41, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "so you check which one is arranged in descending orders of power"}, {"idx": 42, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "which is standard form"}, {"idx": 43, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "and how is this decending"}, {"idx": 44, "role": "tutor", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": "."}, {"idx": 45, "role": "tutor", "category": "Tutor-Academic", "move": "Correction", "category_confidence": "high", "move_confidence": "high", "message_text": "3, 2, 0 sorry"}, {"idx": 46, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "now constants have order 0"}, {"idx": 47, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "and $x^3, xy$ have orders $3, 2$ respectively"}, {"idx": 48, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "do you understadnd?"}, {"idx": 49, "role": "student", "category": "Student-Academic", "move": "Inference-Understanding", "category_confidence": "high", "move_confidence": "high", "message_text": "oh ok"}, {"idx": 50, "role": "student", "category": "Student-Academic", "move": "Student-Confirm", "category_confidence": "high", "move_confidence": "high", "message_text": "yes"}, {"idx": 51, "role": "student", "category": "Student-Academic", "move": "Explain-Reasoning", "category_confidence": "high", "move_confidence": "high", "message_text": "i thought it would be the first option but it says thats wrong"}, {"idx": 52, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "so would it be the second one?"}, {"idx": 53, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "or no it would be the 3rd one"}, {"idx": 54, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "@Helpers"}, {"idx": 55, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "@s_chanch"}, {"idx": 56, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "@Helpers"}, {"idx": 57, "role": "tutor", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": "dont tag helpers twice"}, {"idx": 58, "role": "student", "category": "Non-Academic", "move": "Acknowledgment", "category_confidence": "high", "move_confidence": "high", "message_text": "ok sorry"}, {"idx": 59, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "so would it be the 3rd option?"}, {"idx": 60, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Negative", "category_confidence": "high", "move_confidence": "high", "message_text": "no"}, {"idx": 61, "role": "student", "category": "Socio-Emotional", "move": "Frustration", "category_confidence": "high", "move_confidence": "high", "message_text": "im still confused then"}, {"idx": 62, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": ".close"}]}
{"conversation_id": 1035, "tutor_id": "user_01085", "tutor_tier": "mid", "tutor_score": 0.5562103660646107, "student_id": "user_01778", "resolution": "resolved", "resolution_confidence": "high", "n_messages": 30, "messages": [{"idx": 0, "role": "student", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "high", "move_confidence": "high", "message_text": "Could you help me with this?"}, {"idx": 1, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "A rectangular block is such that the sides of its base are of length x cm and 3x cm. The sum of the lengths of all its edges is 20 cm."}, {"idx": 2, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "And I have to find the volume of it"}, {"idx": 3, "role": "student", "category": "Socio-Emotional", "move": "Frustration", "category_confidence": "high", "move_confidence": "high", "message_text": "I can’t image the block"}, {"idx": 4, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Scaffolding", "category_confidence": "high", "move_confidence": "high", "message_text": "If it only gives you the base sides, what's the height?"}, {"idx": 5, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "I mean, if they don't give the height, you can solve it, but the answer will be in variables rather than a number."}, {"idx": 6, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "@*___* 9 They tell you that the sides of the base (the length and width) are x and 3x."}, {"idx": 7, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "They don't tell you the height."}, {"idx": 8, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "The sum of the lengths of the edges is 20 cm."}, {"idx": 9, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "So, there are four edges that are the height, four edges that are the length, and four edges that are the width of the block."}, {"idx": 10, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "4h + 4l + 4w = 20 cm"}, {"idx": 11, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "l = x"}, {"idx": 12, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "w = 3x"}, {"idx": 13, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Solve for height in terms of x."}, {"idx": 14, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Then use V = lwh."}, {"idx": 15, "role": "student", "category": "Student-Academic", "move": "Inference-Understanding", "category_confidence": "high", "move_confidence": "medium", "message_text": "Oh so means, my drawing is incorrect"}, {"idx": 16, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "Let me figure it out"}, {"idx": 17, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Yes. The front edge of the bottom (width) is x, the other edge of the bottom close to you (length) is 3x and the vertical edge (height) is h."}, {"idx": 18, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "??."}, {"idx": 19, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Yes, now you also know the sum of the edge lengths."}, {"idx": 20, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "There are four that hold up the top side."}, {"idx": 21, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Those are h."}, {"idx": 22, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "There are four that are 3x long, they go horizontally parallel to you."}, {"idx": 23, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "There are four that are x long. They go from where you are away from you into the paper."}, {"idx": 24, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "Right."}, {"idx": 25, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Now solve for h."}, {"idx": 26, "role": "student", "category": "Student-Academic", "move": "Inference-Understanding", "category_confidence": "high", "move_confidence": "high", "message_text": "Oh ok"}, {"idx": 27, "role": "student", "category": "Student-Academic", "move": "Breakthrough", "category_confidence": "high", "move_confidence": "high", "message_text": "Thank you! I got it!"}, {"idx": 28, "role": "tutor", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "high", "move_confidence": "high", "message_text": "You're welcome."}, {"idx": 29, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": ".close"}]}
{"conversation_id": 1110, "tutor_id": "user_02628", "tutor_tier": "novice", "tutor_score": 0.44776375188319467, "student_id": "user_02629", "resolution": "unclear", "resolution_confidence": "high", "n_messages": 22, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "So, I've so far determined tan(alpha)=-7/3. Im not sure how I'd solve it from there, supposedly arctangent?"}, {"idx": 1, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "yes"}, {"idx": 2, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "$\\alpha=\\arctan\\left(-\\frac{7}{3}\\right)$"}, {"idx": 3, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "Okay, -66.80. I knew that partt, Now it's looking for an angle measure, how would that be determined?"}, {"idx": 4, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "medium", "move_confidence": "high", "message_text": "are you talking about that?"}, {"idx": 5, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "No, Theyre looking for an angle measure to be determined from tan(alpha)=-7/3"}, {"idx": 6, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "medium", "move_confidence": "high", "message_text": "?"}, {"idx": 7, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "well it can be done graphically"}, {"idx": 8, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "medium", "message_text": "Sorry, meant -1.17"}, {"idx": 9, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "Thats probably what it's looking for, I'm fairly lost in this part"}, {"idx": 10, "role": "tutor", "category": "Tutor-Academic", "move": "Correction", "category_confidence": "high", "move_confidence": "high", "message_text": "you literally said the angle measure here"}, {"idx": 11, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "you have a coordinate system, i is your x axis and j is your y axis, then you plot the vector there, and determine the angle between your vector and the x axis"}, {"idx": 12, "role": "student", "category": "Student-Academic", "move": "Student-Confirm", "category_confidence": "high", "move_confidence": "medium", "message_text": "It said it isn't that."}, {"idx": 13, "role": "student", "category": "Student-Academic", "move": "Explain-Reasoning", "category_confidence": "high", "move_confidence": "medium", "message_text": "Yes. Hence why I was asking for a follow up. They answered, I'll do that"}, {"idx": 14, "role": "tutor", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "medium", "move_confidence": "high", "message_text": "who is they"}, {"idx": 15, "role": "student", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": "Big [USERNAME]."}, {"idx": 16, "role": "tutor", "category": "Tutor-Academic", "move": "Correction", "category_confidence": "high", "move_confidence": "high", "message_text": "they just told you to do exactly what you already did"}, {"idx": 17, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "you found alpha. you just need to determine quadrant relevant to the question"}, {"idx": 18, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "If you read the problem, it asks for 360-66.90. It isnt just 66.80"}, {"idx": 19, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "because its 0<theta<360"}, {"idx": 20, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Scaffolding", "category_confidence": "high", "move_confidence": "high", "message_text": "hence"}, {"idx": 21, "role": "student", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "high", "move_confidence": "high", "message_text": "Someone else was answering and having another person just made it convoluted. Thanks though."}]}
{"conversation_id": 1259, "tutor_id": "user_02630", "tutor_tier": "novice", "tutor_score": 0.31149175967142234, "student_id": "user_01774", "resolution": "abandoned", "resolution_confidence": "high", "n_messages": 10, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "anyone help? how to find Θ"}, {"idx": 1, "role": "student", "category": "Student-Academic", "move": "Explain-Reasoning", "category_confidence": "high", "move_confidence": "high", "message_text": "idk why i find the slant height but my goal is to find Θ"}, {"idx": 2, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "angle formula"}, {"idx": 3, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "which one?"}, {"idx": 4, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "can we like determine the Θ at the 3d cone? not the one that's been deform"}, {"idx": 5, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "medium", "move_confidence": "medium", "message_text": "maybe that'll help"}, {"idx": 6, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "@Helpers"}, {"idx": 7, "role": "tutor", "category": "Tutor-Academic", "move": "Correction", "category_confidence": "high", "move_confidence": "high", "message_text": "theta is defined to be the angle of the sector of the unfolded cone, dunno why you're trying to get it from the 3d form"}, {"idx": 8, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Scaffolding", "category_confidence": "high", "move_confidence": "high", "message_text": "consider the which parts of the 3d cone correspond to the unfolded cone"}, {"idx": 9, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": ".close"}]}
{"conversation_id": 723, "tutor_id": "user_01880", "tutor_tier": "mid", "tutor_score": 0.5174691507315495, "student_id": "user_02454", "resolution": "unclear", "resolution_confidence": "medium", "n_messages": 60, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "hi guys does anyone know how to solve section d question 1"}, {"idx": 1, "role": "tutor", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "medium", "move_confidence": "high", "message_text": "let me get my magnifying glass"}, {"idx": 2, "role": "tutor", "category": "Tutor-Academic", "move": "Knowledge-Check", "category_confidence": "high", "move_confidence": "high", "message_text": "implicit differentiation ?"}, {"idx": 3, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "differentiate everything with respect to y?"}, {"idx": 4, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "@Helpers"}, {"idx": 5, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "really doesn’t matter. you both dx/dy and dy/dx have to multiply to give you -1 so it’s upto you really"}, {"idx": 6, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "because one is the reciprocal of the other and -1 is it’s own reciprocal"}, {"idx": 7, "role": "tutor", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": "guys i need help"}, {"idx": 8, "role": "tutor", "category": "Tutor-Academic", "move": "Knowledge-Check", "category_confidence": "high", "move_confidence": "high", "message_text": "What's the derivative of cos^2(x) ?"}, {"idx": 9, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "is it -sin(2x)?"}, {"idx": 10, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "Yes! So, do you have any ideas now?"}, {"idx": 11, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "low", "move_confidence": "low", "message_text": "absolutely no idea"}, {"idx": 12, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "You have sin(2x) at the numerator"}, {"idx": 13, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "low", "move_confidence": "high", "message_text": "am i gonna substitute it?"}, {"idx": 14, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Try the substitution u=cos^2(x)"}, {"idx": 15, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "low", "move_confidence": "high", "message_text": "like this?"}, {"idx": 16, "role": "tutor", "category": "Tutor-Academic", "move": "Correction", "category_confidence": "high", "move_confidence": "high", "message_text": "du = -sin(2x)dx, so there is a mistake"}, {"idx": 17, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Scaffolding", "category_confidence": "low", "move_confidence": "high", "message_text": "what if i substitute the sin(2x) into 2sin x cos x?"}, {"idx": 18, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "low", "move_confidence": "high", "message_text": "then du = 3/4 cos(x) sin(x)"}, {"idx": 19, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "low", "move_confidence": "low", "message_text": "nevermind"}, {"idx": 20, "role": "tutor", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": "????"}, {"idx": 21, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "U can try converting cos^2(x)"}, {"idx": 22, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Into cos(2x) identity"}, {"idx": 23, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "d/dx cos^2(x) = -sin(2x)"}, {"idx": 24, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "u = 1 - 3/4cos^2(x), du = 3/4sin(2x)dx"}, {"idx": 25, "role": "tutor", "category": "Tutor-Academic", "move": "Correction", "category_confidence": "high", "move_confidence": "high", "message_text": "correction it should be 3/2"}, {"idx": 26, "role": "tutor", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": "?"}, {"idx": 27, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "low", "move_confidence": "high", "message_text": "it says 3/4 there"}, {"idx": 28, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Scaffolding", "category_confidence": "low", "move_confidence": "high", "message_text": "wait, what if u=cos^2x, du = -sin(x)dx"}, {"idx": 29, "role": "tutor", "category": "Tutor-Academic", "move": "Correction", "category_confidence": "low", "move_confidence": "high", "message_text": "-sin(2x)dx*"}, {"idx": 30, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "low", "move_confidence": "high", "message_text": "just like this"}, {"idx": 31, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "low", "move_confidence": "high", "message_text": "yeah"}, {"idx": 32, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Scaffolding", "category_confidence": "low", "move_confidence": "high", "message_text": "ok and then"}, {"idx": 33, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "low", "move_confidence": "high", "message_text": "then the numerator will be cancel?"}, {"idx": 34, "role": "tutor", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": ".."}, {"idx": 35, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Negative", "category_confidence": "low", "move_confidence": "high", "message_text": "nah"}, {"idx": 36, "role": "tutor", "category": "Socio-Emotional", "move": "Frustration", "category_confidence": "high", "move_confidence": "high", "message_text": "looks grim"}, {"idx": 37, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "this is what ur suppose to do"}, {"idx": 38, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "substitute sin(2x)dx for (4/3)du"}, {"idx": 39, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "low", "move_confidence": "high", "message_text": "i dont follow"}, {"idx": 40, "role": "tutor", "category": "Tutor-Academic", "move": "Correction", "category_confidence": "high", "move_confidence": "high", "message_text": "you cant cancel from outside the integral"}, {"idx": 41, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "low", "move_confidence": "high", "message_text": "it's gonna cancel in anyway"}, {"idx": 42, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "low", "move_confidence": "high", "message_text": "cause my du = -sin(2x)dx"}, {"idx": 43, "role": "tutor", "category": "Tutor-Academic", "move": "Correction", "category_confidence": "high", "move_confidence": "high", "message_text": "if it cancels with du then you dont get du anymore"}, {"idx": 44, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "sin(2x)du = sin(2x)*(-sin(2x)dx) ??"}, {"idx": 45, "role": "tutor", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "@moose if you solve the integral post your steps here"}, {"idx": 46, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "low", "move_confidence": "high", "message_text": "guess i'm wrong"}, {"idx": 47, "role": "tutor", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": "prob"}, {"idx": 48, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "use this"}, {"idx": 49, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "i got that because constant coefficients like -3/4 are easy to integrate since you can move them outside the integral"}, {"idx": 50, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "with this sub you end up with $\\int 4/3du/u^8$"}, {"idx": 51, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Scaffolding", "category_confidence": "high", "move_confidence": "high", "message_text": "what's next?"}, {"idx": 52, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "low", "move_confidence": "high", "message_text": "integrate with respect to u"}, {"idx": 53, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "use reverse power rule"}, {"idx": 54, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "should i substitute it into v before i use the power rule?"}, {"idx": 55, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Negative", "category_confidence": "low", "move_confidence": "high", "message_text": "NO"}, {"idx": 56, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "its already substituted into a familiar form"}, {"idx": 57, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Scaffolding", "category_confidence": "high", "move_confidence": "high", "message_text": "can you integrate 1/x^8 ?"}, {"idx": 58, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "just use reverse power rule"}, {"idx": 59, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "low", "move_confidence": "high", "message_text": "||1/x^8 = x^-8||"}]}
{"conversation_id": 1099, "tutor_id": "user_02661", "tutor_tier": "mid", "tutor_score": 0.5469803736671759, "student_id": "user_01369", "resolution": "abandoned", "resolution_confidence": "high", "n_messages": 8, "messages": [{"idx": 0, "role": "student", "category": "Socio-Emotional", "move": "Frustration", "category_confidence": "high", "move_confidence": "high", "message_text": "I know damn well I fucked up somewhere"}, {"idx": 1, "role": "student", "category": "Student-Academic", "move": "Explain-Reasoning", "category_confidence": "high", "move_confidence": "high", "message_text": "I got this as my answer through trig sub"}, {"idx": 2, "role": "tutor", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "Post in a new channel - someone else is using it now"}, {"idx": 3, "role": "student", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "medium", "message_text": "he closed it?"}, {"idx": 4, "role": "tutor", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": "I'm blind - forgive me"}, {"idx": 5, "role": "student", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": "all good, I was too fast for it to update"}, {"idx": 6, "role": "tutor", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": "i need help"}, {"idx": 7, "role": "tutor", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": ".close"}]}
{"conversation_id": 771, "tutor_id": "user_03168", "tutor_tier": "novice", "tutor_score": 0.4323968557490435, "student_id": "user_04773", "resolution": "resolved", "resolution_confidence": "high", "n_messages": 14, "messages": [{"idx": 0, "role": "student", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "high", "move_confidence": "high", "message_text": "Hello"}, {"idx": 1, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "Let $h: \\mathbb{R}^4 \\to \\mathbb{R}$ be a function with the following properties: the domain of h is $\\mathbb{R}^4$ and all partial derivatives of h from of 2 or lower exist and have the same domain as h. Let $H: \\mathbb{R}^2 \\to \\mathbb{R}$ be a function defined by $H(x,y) = h(-3, e^{xy}, x^2 + y^2, y-x)$."}, {"idx": 2, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "How can I prove that the partial derivative $\\frac{\\partial H}{\\partial x}$ exists?"}, {"idx": 3, "role": "student", "category": "Student-Academic", "move": "Explain-Reasoning", "category_confidence": "high", "move_confidence": "high", "message_text": "My idea was to prove $\\lim_{h \\to 0} \\frac{H(x+h,y) - H(x,y)}{h}$ exists, but I don't know how I can prove this limit exists"}, {"idx": 4, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "@Helpers"}, {"idx": 5, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "@Helpers anyone?"}, {"idx": 6, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "use the chain rule"}, {"idx": 7, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "But how?"}, {"idx": 8, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "write H as the composite of two partial differentiable function, then H has also a partial derivative ||one is the two functions is h||"}, {"idx": 9, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "So something like $\\frac{ \\partial H}{\\partial x} = \\frac{ \\partial H}{\\partial h} \\frac{\\partial h}{\\partial x} + \\frac{\\partial H}{\\partial ?} \\frac{\\partial ?}{\\partial x}$?"}, {"idx": 10, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "if H(x,y)=h(g(x,y)) with $g(x,y)=(g_1(x,y),g_2(x,y),g_3(x,y),g_4(x,y))$, then  $\\frac{ \\partial H}{\\partial x} = \\frac{ \\partial h}{\\partial g_1} \\frac{\\partial g_1}{\\partial x} + \\frac{\\partial h}{\\partial g_2} \\frac{\\partial g_2}{\\partial x}+\\frac{ \\partial h}{\\partial g_3} \\frac{\\partial g_3}{\\partial x} + \\frac{\\partial h}{\\partial g_4} \\frac{\\partial g_4}{\\partial x}$"}, {"idx": 11, "role": "student", "category": "Student-Academic", "move": "Breakthrough", "category_confidence": "high", "move_confidence": "high", "message_text": "ooooh"}, {"idx": 12, "role": "student", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "high", "move_confidence": "high", "message_text": "thank you so much!"}, {"idx": 13, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": ".close"}]}
{"conversation_id": 80, "tutor_id": "user_02644", "tutor_tier": "mid", "tutor_score": 0.5223451237551334, "student_id": "user_04774", "resolution": "resolved", "resolution_confidence": "high", "n_messages": 14, "messages": [{"idx": 0, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": ".reopen"}, {"idx": 1, "role": "student", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "medium", "move_confidence": "high", "message_text": "I have another question if you dont mind"}, {"idx": 2, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "@Syst3ms"}, {"idx": 3, "role": "tutor", "category": "Non-Academic", "move": "Acknowledgment", "category_confidence": "high", "move_confidence": "high", "message_text": "go ahead"}, {"idx": 4, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "so the question was actually to do the minimal disjunctive NORMAL form, is that any different?"}, {"idx": 5, "role": "student", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "medium", "message_text": "Are you here sir?"}, {"idx": 6, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "@Syst3ms sorry for pinging"}, {"idx": 7, "role": "tutor", "category": "Non-Academic", "move": "Acknowledgment", "category_confidence": "high", "move_confidence": "high", "message_text": "nah"}, {"idx": 8, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "the \"normal\" refers to the fact that each term that's OR-ed is a conjunction"}, {"idx": 9, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "some literals with AND between them"}, {"idx": 10, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "So for example A v (B(C v D)) is not DNF"}, {"idx": 11, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "but A v BC v BD is"}, {"idx": 12, "role": "student", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "high", "move_confidence": "high", "message_text": "Alright, no more questions im out for real this time 😆 see ya!"}, {"idx": 13, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": ".close"}]}
{"conversation_id": 804, "tutor_id": "user_02661", "tutor_tier": "mid", "tutor_score": 0.5469803736671759, "student_id": "user_00379", "resolution": "resolved", "resolution_confidence": "high", "n_messages": 19, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "A question reads:"}, {"idx": 1, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "what does that mean?"}, {"idx": 2, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "the first quadrant bounded by curve"}, {"idx": 3, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "(its a volumetric revolution around y axis curve)"}, {"idx": 4, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "is the '1st quadrant' just top right quadrant or something?"}, {"idx": 5, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "The curve will be a border to the region in question"}, {"idx": 6, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "Correct"}, {"idx": 7, "role": "student", "category": "Student-Academic", "move": "Inference-Understanding", "category_confidence": "high", "move_confidence": "high", "message_text": "ah alright"}, {"idx": 8, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "are the quadrants actually like 'officially' numbered?"}, {"idx": 9, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "yes"}, {"idx": 10, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "like what would the 2nd quadrant be?"}, {"idx": 11, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "is it clockwise?"}, {"idx": 12, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Top left"}, {"idx": 13, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Counterclockwise"}, {"idx": 14, "role": "student", "category": "Student-Academic", "move": "Inference-Understanding", "category_confidence": "high", "move_confidence": "high", "message_text": "ah alright, didnt know that."}, {"idx": 15, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "(+,+)\n(-,+)\n(-,-)\n(+,-)"}, {"idx": 16, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "This\n\n(1 at the top, 4 at the bottom)"}, {"idx": 17, "role": "student", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "high", "move_confidence": "high", "message_text": "alright, thanks for the help 👍"}, {"idx": 18, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": ".close"}]}
{"conversation_id": 112, "tutor_id": "user_04775", "tutor_tier": "novice", "tutor_score": 0.4490852822939705, "student_id": "user_02060", "resolution": "resolved", "resolution_confidence": "high", "n_messages": 14, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "how do you do this question"}, {"idx": 1, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "left the original number of boys, girls and adults be 5x, 8x and 2x resp."}, {"idx": 2, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "so  5x+8x+2x=150"}, {"idx": 3, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "or x=10"}, {"idx": 4, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "so boys:girls:adults = 50:80:20"}, {"idx": 5, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "after k girls leave, the ratio is 10:9:4, so 50:80-k:20 :: 10:9:4"}, {"idx": 6, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "divide the right ratio by 5, 10:16-(0.2k):4 :: 10:9:4"}, {"idx": 7, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "16-0.2k = 9"}, {"idx": 8, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "k = 35"}, {"idx": 9, "role": "tutor", "category": "Socio-Emotional", "move": "Frustration", "category_confidence": "medium", "move_confidence": "high", "message_text": "Uhh"}, {"idx": 10, "role": "tutor", "category": "Socio-Emotional", "move": "Confidence-Express", "category_confidence": "medium", "move_confidence": "high", "message_text": "Oh Oki get it"}, {"idx": 11, "role": "student", "category": "Student-Academic", "move": "Inference-Understanding", "category_confidence": "high", "move_confidence": "high", "message_text": "easy"}, {"idx": 12, "role": "student", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "high", "move_confidence": "high", "message_text": "tysm"}, {"idx": 13, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": ".close"}]}
{"conversation_id": 683, "tutor_id": "user_01169", "tutor_tier": "novice", "tutor_score": 0.45776390685276513, "student_id": "user_04612", "resolution": "unclear", "resolution_confidence": "medium", "n_messages": 24, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "Can someone teach me find the equation to Thea table"}, {"idx": 1, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "@Helpers"}, {"idx": 2, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "@Helpers can you help?"}, {"idx": 3, "role": "student", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "medium", "move_confidence": "high", "message_text": "I have been here for almost 50 minutes"}, {"idx": 4, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "no idea what are you trying to do"}, {"idx": 5, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "are you trying to find the equation of a line? @itsmealex"}, {"idx": 6, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "medium", "message_text": "Seems like it since I don’t think it can be like direct variation or smth"}, {"idx": 7, "role": "student", "category": "Student-Academic", "move": "Student-Confirm", "category_confidence": "high", "move_confidence": "high", "message_text": "Yeah"}, {"idx": 8, "role": "tutor", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "@Helpers Can you help?"}, {"idx": 9, "role": "tutor", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "medium", "message_text": "Chat being used"}, {"idx": 10, "role": "tutor", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "#❓how-to-get-help"}, {"idx": 11, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "You’d need to find the slope"}, {"idx": 12, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "parabola im guessing?"}, {"idx": 13, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "medium", "message_text": "Yeah seems like a curve of sorts since the rise/run aren’t the same. Idk about those"}, {"idx": 14, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "low", "message_text": "wait"}, {"idx": 15, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "its the same"}, {"idx": 16, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "yeah i got the equation"}, {"idx": 17, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "i probably shouldnt say the equation but yeah its linear"}, {"idx": 18, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "They are?"}, {"idx": 19, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "technically yes"}, {"idx": 20, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "okay, draw a graph using the points"}, {"idx": 21, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "Ok I found the slope"}, {"idx": 22, "role": "tutor", "category": "Tutor-Academic", "move": "Knowledge-Check", "category_confidence": "high", "move_confidence": "high", "message_text": "Do you know how to find equation of a line?"}, {"idx": 23, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "No"}]}
{"conversation_id": 1103, "tutor_id": "user_00300", "tutor_tier": "mid", "tutor_score": 0.5580555301962206, "student_id": "user_04776", "resolution": "unclear", "resolution_confidence": "medium", "n_messages": 21, "messages": [{"idx": 0, "role": "tutor", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "low", "move_confidence": "high", "message_text": "nice"}, {"idx": 1, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "Quite a general query. Is there a method to calculate the equation of a line with seemingly random fluctuations such as the one above without the use of integrals?"}, {"idx": 2, "role": "student", "category": "Student-Academic", "move": "Explain-Reasoning", "category_confidence": "high", "move_confidence": "high", "message_text": "I'm not great with Mathematics and haven't been taught Calculus of any sort. I'd prefer not to share what the points represent, but my closest approximations have all been hyperbolas of which the points have fallen very close to."}, {"idx": 3, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "The upper bound for the points is π (which is the Y-value of the highest point in that image) and the points decrease to 2√2 as x approaches infinity."}, {"idx": 4, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "The x-value of the furthest-right point in that image is 4. I haven't plotted many more points as of yet."}, {"idx": 5, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "(The remaining points)"}, {"idx": 6, "role": "student", "category": "Student-Academic", "move": "Explain-Reasoning", "category_confidence": "high", "move_confidence": "high", "message_text": "I imagined creating a straight line between each integer for an approximation. Creating a straight line between every half would be twice as accurate, between every eighth would be 8x as accurate and so on. Therefore an infinite quantity of straight lines between each infinitesimally distant point would create an \"exact\" solution. This sounds like the sort of thing Calculus messes around with, hence why I presumed it would be the go-to."}, {"idx": 7, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "Any advice would be very helpful, if necessary I'll show my closest approximation."}, {"idx": 8, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "@Helpers"}, {"idx": 9, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Scaffolding", "category_confidence": "high", "move_confidence": "high", "message_text": "cant this be done some way using polynomials and vertex points?"}, {"idx": 10, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "medium", "move_confidence": "medium", "message_text": "im not sure myself but i think theres a way to do so"}, {"idx": 11, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "unloess you looking for the best aproximation of the lines that still hits all the points"}, {"idx": 12, "role": "student", "category": "Student-Academic", "move": "Student-Confirm", "category_confidence": "high", "move_confidence": "high", "message_text": "I'm looking for an exact solution, you can't hit all the points with an approximation."}, {"idx": 13, "role": "student", "category": "Student-Academic", "move": "Explain-Reasoning", "category_confidence": "high", "move_confidence": "high", "message_text": "I have approximations that visually touch the points on Desmos to a degree, but that's frankly irrelevant."}, {"idx": 14, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "How would Vertex Points play into this?"}, {"idx": 15, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "@Helpers"}, {"idx": 16, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "look into methods of interpolation"}, {"idx": 17, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "No idea what that even was until now, I'll look into it thank you."}, {"idx": 18, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "Interpolation unfortunately is limited to approximation also."}, {"idx": 19, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "im not sure what you expect"}, {"idx": 20, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Interpolation hits every point. its unknowable what exactly happens between each point, you have to guess"}]}
{"conversation_id": 1579, "tutor_id": "user_00300", "tutor_tier": "mid", "tutor_score": 0.5580555301962206, "student_id": "user_04777", "resolution": "resolved", "resolution_confidence": "high", "n_messages": 14, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "how do i convert m squared to cm squared"}, {"idx": 1, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "multiply by 10k"}, {"idx": 2, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "m^2 to dm^2 is 100"}, {"idx": 3, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "dm^2 to cm^2 also 100"}, {"idx": 4, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "so 100x100"}, {"idx": 5, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "10000"}, {"idx": 6, "role": "student", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "high", "move_confidence": "high", "message_text": "oh ok ok thankk you"}, {"idx": 7, "role": "student", "category": "Student-Academic", "move": "Explain-Reasoning", "category_confidence": "medium", "move_confidence": "high", "message_text": "i forgot but i couldnt find out the formula"}, {"idx": 8, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "1m^2 is 100x100 cm so  yes 10k, i always have to think about it because i never remember what the actual values are"}, {"idx": 9, "role": "tutor", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "@Kenes dont forget to close the channel if youre done"}, {"idx": 10, "role": "student", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "medium", "message_text": "oh how do i do that"}, {"idx": 11, "role": "student", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": "im new to the server"}, {"idx": 12, "role": "tutor", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "type .close"}, {"idx": 13, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": ".close"}]}
{"conversation_id": 1759, "tutor_id": "user_02644", "tutor_tier": "mid", "tutor_score": 0.5223451237551334, "student_id": "user_04778", "resolution": "resolved", "resolution_confidence": "high", "n_messages": 7, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "so I think I have the first multiplication correct but I'm kindof confused how to structure the product of the second set of multiplications"}, {"idx": 1, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "((1, u),m) or (1, u, m) or something else?"}, {"idx": 2, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "Technically it's the former, and what you did was correct"}, {"idx": 3, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "medium", "move_confidence": "high", "message_text": "In practice, if you see someone insist on the distinction between the two outside of an introductory set theory class they deserve a slap to the face"}, {"idx": 4, "role": "tutor", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "@PhunkyPhil"}, {"idx": 5, "role": "student", "category": "Student-Academic", "move": "Inference-Understanding", "category_confidence": "medium", "move_confidence": "high", "message_text": "Okay cool, thanks! The first feels a bit better but It had me concerned"}, {"idx": 6, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": ".close"}]}
{"conversation_id": 1951, "tutor_id": "user_02644", "tutor_tier": "mid", "tutor_score": 0.5223451237551334, "student_id": "user_02208", "resolution": "resolved", "resolution_confidence": "high", "n_messages": 12, "messages": [{"idx": 0, "role": "student", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "high", "move_confidence": "high", "message_text": "Hi"}, {"idx": 1, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "Is there a common “way” to find the general form of a succession by having its values?"}, {"idx": 2, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "Or is it just about luck and some logic? 🤔"}, {"idx": 3, "role": "student", "category": "Student-Academic", "move": "Explain-Reasoning", "category_confidence": "high", "move_confidence": "medium", "message_text": "For the recursive way its way simpler…"}, {"idx": 4, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "For example, by having: {-2; 6; -18; 54; -162; …}\nHow can I find out that one general form might be: An = (-3)^(n-1) * (-2)\n?"}, {"idx": 5, "role": "student", "category": "Non-Academic", "move": "Platform-Command", "category_confidence": "high", "move_confidence": "high", "message_text": "@Helpers"}, {"idx": 6, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "Honestly, pattern recognition is just trying out things and hope they get you somewhere"}, {"idx": 7, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "There isn't any set method, otherwise many problems would be solved by now"}, {"idx": 8, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "In this case, perhaps you could have tried factoring everything by 2 since every term is divisible by it"}, {"idx": 9, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "You'd have gotten -1,3,-9,27,-81,... which are clearly powers of -3 in some capacity"}, {"idx": 10, "role": "student", "category": "Non-Academic", "move": "Greeting-Closing", "category_confidence": "high", "move_confidence": "high", "message_text": "Alright, thanks"}, {"idx": 11, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "Then I guess Ill just practice this"}]}
{"conversation_id": 14, "tutor_id": "user_04779", "tutor_tier": "novice", "tutor_score": 0.43186771935991664, "student_id": "user_04780", "resolution": "unclear", "resolution_confidence": "medium", "n_messages": 50, "messages": [{"idx": 0, "role": "student", "category": "Student-Academic", "move": "Explain-Problem", "category_confidence": "high", "move_confidence": "high", "message_text": "I need help with the question at the top"}, {"idx": 1, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Scaffolding", "category_confidence": "high", "move_confidence": "high", "message_text": "@Van Can you find a right angled triangle inside the square that can help you find the side length of the square using pythagorean theorem?"}, {"idx": 2, "role": "student", "category": "Student-Academic", "move": "Student-Confirm", "category_confidence": "high", "move_confidence": "high", "message_text": "Yes"}, {"idx": 3, "role": "student", "category": "Student-Academic", "move": "Knowledge-Recall", "category_confidence": "high", "move_confidence": "high", "message_text": "I have found the right triangle"}, {"idx": 4, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "send a screenshot of that drawing"}, {"idx": 5, "role": "student", "category": "Non-Academic", "move": "Small-Talk", "category_confidence": "high", "move_confidence": "high", "message_text": "Might take long because school wifi isn’t too good"}, {"idx": 6, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "medium", "message_text": "ok just trying to figure out where your triangle is, your triangle should have lengths that are easy to count on the grid"}, {"idx": 7, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Scaffolding", "category_confidence": "high", "move_confidence": "high", "message_text": "what are the sides of your triangle"}, {"idx": 8, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "What do you mean by that?"}, {"idx": 9, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Scaffolding", "category_confidence": "high", "move_confidence": "high", "message_text": "what are the lenghts of the sides of your right triangle"}, {"idx": 10, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "you need those to apply pythagoras"}, {"idx": 11, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "yup good"}, {"idx": 12, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Scaffolding", "category_confidence": "high", "move_confidence": "high", "message_text": "so what are the side lengths? I'm assuming your teacher wants you to use the grid"}, {"idx": 13, "role": "student", "category": "Student-Academic", "move": "Student-Confirm", "category_confidence": "high", "move_confidence": "high", "message_text": "Yes"}, {"idx": 14, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "But I have no idea what the side length is"}, {"idx": 15, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "That’s the side lengths?"}, {"idx": 16, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "you need to know that to know the third side"}, {"idx": 17, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "Sorry what?"}, {"idx": 18, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "hold up"}, {"idx": 19, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Scaffolding", "category_confidence": "high", "move_confidence": "high", "message_text": "how would you use pythagoras here"}, {"idx": 20, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "I would need to find the sides"}, {"idx": 21, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "A squared + B squared = c squared ?"}, {"idx": 22, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "yup"}, {"idx": 23, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Scaffolding", "category_confidence": "high", "move_confidence": "high", "message_text": "so what is A and B in this triangle?"}, {"idx": 24, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "A would be the vertical line"}, {"idx": 25, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "And B would be the horizontal line"}, {"idx": 26, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "yes and you know A and B"}, {"idx": 27, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "just count the squares"}, {"idx": 28, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "The squares inside the square?"}, {"idx": 29, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "yup the grid"}, {"idx": 30, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "im assuming you can count each small square grid as 1 by 1"}, {"idx": 31, "role": "student", "category": "Student-Academic", "move": "Student-Confirm", "category_confidence": "high", "move_confidence": "high", "message_text": "Yes"}, {"idx": 32, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "But what about the ones that are half in half out"}, {"idx": 33, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "which one"}, {"idx": 34, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "A and B are not half in half out"}, {"idx": 35, "role": "student", "category": "Student-Academic", "move": "Explain-Reasoning", "category_confidence": "high", "move_confidence": "high", "message_text": "The one at the pointy part"}, {"idx": 36, "role": "tutor", "category": "Tutor-Academic", "move": "Tutor-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "you mean for A?"}, {"idx": 37, "role": "student", "category": "Student-Academic", "move": "Student-Confirm", "category_confidence": "high", "move_confidence": "high", "message_text": "Yes"}, {"idx": 38, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "that's just 3"}, {"idx": 39, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "it looks half in half out because of drawing"}, {"idx": 40, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "technically it is all the way to the vertex"}, {"idx": 41, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "vertex = pointy part"}, {"idx": 42, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "So would it still count as a square"}, {"idx": 43, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "yeah"}, {"idx": 44, "role": "student", "category": "Student-Academic", "move": "Student-Question", "category_confidence": "high", "move_confidence": "high", "message_text": "And that’s it?"}, {"idx": 45, "role": "student", "category": "Student-Academic", "move": "Inference-Attempt", "category_confidence": "high", "move_confidence": "high", "message_text": "I just count the squares"}, {"idx": 46, "role": "tutor", "category": "Tutor-Academic", "move": "Confirm-Positive", "category_confidence": "high", "move_confidence": "high", "message_text": "yeah"}, {"idx": 47, "role": "tutor", "category": "Tutor-Academic", "move": "Guidance-Direct", "category_confidence": "high", "move_confidence": "high", "message_text": "then pythatoras"}, {"idx": 48, "role": "tutor", "category": "Tutor-Academic", "move": "Correction", "category_confidence": "high", "move_confidence": "high", "message_text": "pythagoras*"}, {"idx": 49, "role": "student", "category": "Student-Academic", "move": "Knowledge-Gap", "category_confidence": "high", "move_confidence": "high", "message_text": "How would I do that?"}]}