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README.md CHANGED
@@ -1,3 +1,71 @@
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  ---
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  license: cc-by-4.0
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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  ---
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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  ---
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  license: cc-by-4.0
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+ language:
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+ - en
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+ pretty_name: Eedi Misconceptions Graph
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+ tags:
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+ - education
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+ - mathematics
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+ - misconceptions
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+ - curriculum
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+ - edtech
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+ size_categories:
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+ - 10K<n<100K
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+ configs:
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+ - config_name: misconception-map
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+ data_files: data/misconception-map.csv
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+ - config_name: construct-map
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+ data_files: data/construct-map.csv
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  ---
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+
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+ # Eedi Misconceptions Graph v1.0
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+
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+ A map of **mathematical misconceptions** and the **curriculum constructs** they appear in, released by [Eedi](https://www.eedi.com) under a CC BY 4.0 licence.
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+
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+ Eedi defines a *misconception* as a flawed conceptual structure, or a gap in conceptual understanding, that manifests as a systematic and predictable error pattern across problems involving the same mathematical concept. A *construct* is a small, specific element of mathematics — for example, "Order fractions with the same denominators".
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+
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+ On the Eedi platform, students answer multiple-choice Diagnostic Questions with one correct answer and three distractors. Each distractor is tagged with the misconception it reveals, and each question sits within a curriculum hierarchy.
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+
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+ ## Contents
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+
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+ | File | Rows | Description |
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+ | --- | --- | --- |
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+ | `data/misconception-map.csv` | 19,294 | Misconception ↔ construct edges, weighted, with the full topic hierarchy on each row |
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+ | `data/construct-map.csv` | 2,258 | The construct catalogue and its subject → topic → sub-topic hierarchy |
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+ | `docs/data-dictionary.md` | — | Field definitions, per-field statistics and samples |
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+
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+ Coverage: **8,117 misconceptions**, **2,258 constructs**, 236 sub-topics, 50 topics, 4 subjects (Number, Geometry and Measure, Algebra, Data and Statistics).
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+
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+ `misconception-map.csv` is an edge list over a bipartite graph of misconceptions and constructs. `PercentageMisconceptionExistsInThisConstruct` is the edge weight: the share of a misconception's taggings that fall in that construct. Weights for any single `MisconceptionId` sum to 100. A misconception confined to one area of mathematics has few, heavy edges; one that spans areas has many light ones — which is what makes cross-topic misconceptions findable.
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+
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+ Join the two files on `ConstructId`. Every `ConstructId` in the misconception map resolves to a row in the construct map, and every construct has at least one misconception. Field-by-field definitions are in [`docs/data-dictionary.md`](docs/data-dictionary.md).
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+
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+ ### What is not included
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+
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+ The Diagnostic Questions themselves, their distractors, question images, and any student-level response data are **not** part of this release. No personal data is included.
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+
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+ ## Licence
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+
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+ This work is licensed under a [Creative Commons Attribution 4.0 International Licence](https://creativecommons.org/licenses/by/4.0/) (CC BY 4.0).
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+
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+ [![CC BY 4.0](https://licensebuttons.net/l/by/4.0/88x31.png)](https://creativecommons.org/licenses/by/4.0/)
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+
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+ You are free to **share** (copy and redistribute in any medium or format) and **adapt** (remix, transform and build upon the material) for any purpose, including commercially — provided you meet the attribution condition below. The licence covers Eedi's copyright and its sui generis database rights in this material. It is irrevocable, and it does not grant any rights in Eedi's trade marks.
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+
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+ The material is offered as-is, without warranties of any kind.
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+
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+ The full licence text is in [`LICENSE`](LICENSE).
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+
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+ ### Attribution
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+
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+ Credit the work like this:
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+
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+ > "Eedi Misconceptions Graph v1.0" by [Eedi](https://www.eedi.com), licensed under [CC BY 4.0](https://creativecommons.org/licenses/by/4.0/).
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+
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+ If you changed anything, say so — for example, "…, adapted from the original" or "…, filtered to Algebra constructs only". You may satisfy attribution by linking to this page.
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+
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+ Please do not imply that Eedi endorses you or your use of the data.
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+
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+ ## Version
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+
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+ Version 1.0, created 2026 by Eedi. Eedi's taxonomy is maintained continuously, so identifiers and names can change between versions. Pin to a specific release rather than tracking the latest files if you need reproducibility.
data/construct-map.csv ADDED
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data/misconception-map.csv ADDED
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+ # Data dictionary — Eedi Misconceptions Graph v1.0
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+
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+ Field definitions, summary statistics and samples for the two data files.
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+ See the [README](../README.md) for what the dataset is, how to read it, and how it is licensed.
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+
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+ Released under [CC BY 4.0](https://creativecommons.org/licenses/by/4.0/) by [Eedi](https://www.eedi.com).
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+
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+ 1. [misconception-map](#misconception-map)
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+ 2. [construct-map](#construct-map)
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+
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+ ## misconception-map <a name='misconception-map' id='misconception-map'></a>
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+
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+ The Eedi 'misconception map'.
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+
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+ Eedi defines a "Misconception" as a **flawed conceptual structure** or
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+ **gap in conceptual understanding** that manifests as a **systematic and predictable
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+ error pattern** across various problems involving the same mathematical concept.
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+
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+ This could reflect a lack of necessary prior knowledge or an incorrect association
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+ between mathematical ideas.
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+
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+ On the Eedi platform, students answer multiple-choice Diagnostic Questions, which have
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+ one correct answer and three distractors. The distractors have been tagged with
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+ misconceptions, and the questions themselves live within a topic hierarchy. With this
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+ information, we can understand which misconceptions are related to which areas of
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+ mathematics. We can also identify misconceptions that span multiple areas of mathematics.
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+
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+ The data here provides information about the misconceptions and topic hierarchy
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+ in a tabular format.
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+
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+ ### Glossary
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+
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+ | Term | Definition |
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+ | --- | --- |
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+ | MisconceptionId | Unique identifier for the misconception. |
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+ | MisconceptionName | The name of the misconception. |
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+ | PercentageMisconceptionExistsInThisConstruct | Misconceptions are tagged to question distractors. Questions are linked to a specific construct. This value represents the percentage of times a misconception exists within a particular construct. Misconceptions which are specific to a topic area will have only a few constructs, and so the percentages will be higher. Misconceptions which span multiple topic areas will have many rows, and so the percentages will be smaller. The sum of these values across a chosen misconception will be 100. |
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+ | ConstructId | Unique identifier for the construct. A construct is a small element of mathematics. |
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+ | ConstructName | The name of the construct, e.g. 'Solve quadratic equations using factorisation in the form (x + a)(x + b)'. |
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+ | SubTopicSubjectId | Unique identifier for the sub-topic. A sub-topic is broader than a construct. |
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+ | SubTopicName | The name of the sub-topic, e.g. 'Quadratic Equations'. |
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+ | TopicSubjectId | Unique identifier for the topic. A topic is broader than a sub-topic. |
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+ | TopicName | The name of the topic, e.g. 'Solving Equations'. |
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+ | SubjectSubjectId | Unique identifier for the subject. A subject is broader than a topic. |
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+ | SubjectName | The name of the subject, e.g. 'Algebra'. |
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+
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+ ### Statistics
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+
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+ <div style="overflow-x: auto;">
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+
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+ | | field | count | nunique | non-null | type | min | max | min_length | max_length | min_words | max_words | 25% | 50% | 75% | value_counts |
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+ |---:|:---------------------------------------------|--------:|----------:|-----------:|:-------|----------:|------:|-------------:|-------------:|------------:|------------:|--------:|--------:|--------:|:---------------------------------------------------------------------------------------------|
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+ | 0 | MisconceptionId | 19294 | 8117 | 19294 | int | 13708 | 29202 | nan | nan | nan | nan | nan | nan | nan | nan |
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+ | 1 | MisconceptionName | 19294 | 8117 | 19294 | object | nan | nan | 14 | 240 | 2 | 44 | nan | nan | nan | nan |
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+ | 2 | PercentageMisconceptionExistsInThisConstruct | 19294 | 808 | 19294 | float | 0.258 | 100 | nan | nan | nan | nan | 8.333 | 27.273 | 91.667 | nan |
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+ | 3 | ConstructId | 19294 | 2258 | 19294 | int | 1 | 3897 | nan | nan | nan | nan | nan | nan | nan | nan |
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+ | 4 | ConstructName | 19294 | 2258 | 19294 | object | nan | nan | 11 | 281 | 2 | 46 | nan | nan | nan | nan |
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+ | 5 | SubTopicSubjectId | 19294 | 236 | 19294 | int | 33 | 7306 | nan | nan | nan | nan | nan | nan | nan | nan |
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+ | 6 | SubTopicName | 19294 | 236 | 19294 | object | nan | nan | 4 | 64 | 1 | 11 | nan | nan | nan | nan |
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+ | 7 | TopicSubjectId | 19294 | 50 | 19294 | int | 35 | 7294 | nan | nan | nan | nan | nan | nan | nan | nan |
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+ | 8 | TopicName | 19294 | 50 | 19294 | object | nan | nan | 5 | 49 | 1 | 6 | nan | nan | nan | nan |
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+ | 9 | SubjectSubjectId | 19294 | 4 | 19294 | int | 32 | 101 | nan | nan | nan | nan | nan | nan | nan | {32: 8617, 71: 5053, 49: 3755, 101: 1869} |
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+ | 10 | SubjectName | 19294 | 4 | 19294 | object | nan | nan | 6 | 20 | 1 | 3 | nan | nan | nan | {'Number': 8617, 'Geometry and Measure': 5053, 'Algebra': 3755, 'Data and Statistics': 1869} |
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+
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+ </div>
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+
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+ ### Sample
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+
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+ <div style="overflow-x: auto;">
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+
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+ | | MisconceptionId | MisconceptionName | PercentageMisconceptionExistsInThisConstruct | ConstructId | ConstructName | SubTopicSubjectId | SubTopicName | TopicSubjectId | TopicName | SubjectSubjectId | SubjectName |
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+ |------:|------------------:|:-------------------------------------------------------------------------------------------------|-----------------------------------------------:|--------------:|:------------------------------------------------------------------------------------|--------------------:|:---------------------|-----------------:|:------------------------|-------------------:|:---------------------|
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+ | 16399 | 26459 | Believes that the formula for circumference applies to finding the area of a circle | 7.5 | 2331 | Calculate the volume of a cone where the dimensions are all given in the same units | 1649 | Volume of Non-Prisms | 100 | Volume and Surface Area | 71 | Geometry and Measure |
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+ | 9096 | 18326 | When using visual representation of place value, thinks a stick of ten units represents one unit | 8.333 | 39 | Recognise the place value of each digit in decimals | 202 | Place Value | 144 | Basic Arithmetic | 32 | Number |
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+ | 18622 | 28035 | Thinks enlarging a shape will only affect the x coordinates | 100 | 3865 | Know how an ordered pair will change when dilated from the origin (US) | 94 | Enlargement | 278 | Transformations | 71 | Geometry and Measure |
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+
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+ </div>
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+
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+ ## construct-map <a name='construct-map' id='construct-map'></a>
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+
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+ The Eedi 'construct map'.
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+
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+ Eedi defines a 'Construct' as a small element of mathematics, for example:
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+ 'Order fractions with the same denominators'.
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+
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+ These constructs live within a topic hierarchy. The data here provides information
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+ about the constructs and topic hierarchy in a tabular format.
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+
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+ All of the constructs shown here have associated questions created by Eedi. These
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+ questions have been tagged with misconceptions, such that it is possible to
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+ understand which misconceptions are related to which areas of mathematics.
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+ This additional layer of information is not provided here, but forms our
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+ separate 'misconception map'.
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+
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+ ### Glossary
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+
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+ | Term | Definition |
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+ | --- | --- |
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+ | SubjectName | The name of the subject, e.g. 'Algebra'. |
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+ | SubjectSubjectId | Unique identifier for the subject. A subject is broader than a topic. |
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+ | TopicName | The name of the topic, e.g. 'Solving Equations'. |
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+ | TopicSubjectId | Unique identifier for the topic. A topic is broader than a sub-topic. |
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+ | SubTopicName | The name of the sub-topic, e.g. 'Quadratic Equations'. |
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+ | SubTopicSubjectId | Unique identifier for the sub-topic. A sub-topic is broader than a construct. |
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+ | ConstructName | The name of the construct, e.g. 'Solve quadratic equations using factorisation in the form (x + a)(x + b)'. |
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+ | ConstructId | Unique identifier for the construct. A construct is a small element of mathematics. |
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+
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+ ### Statistics
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+
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+ <div style="overflow-x: auto;">
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+
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+ | | field | count | nunique | non-null | type | min_length | max_length | min_words | max_words | value_counts | min | max |
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+ |---:|:------------------|--------:|----------:|-----------:|:-------|-------------:|-------------:|------------:|------------:|:-----------------------------------------------------------------------------------------|------:|------:|
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+ | 0 | SubjectName | 2258 | 4 | 2258 | object | 6 | 20 | 1 | 3 | {'Number': 864, 'Geometry and Measure': 677, 'Algebra': 505, 'Data and Statistics': 212} | nan | nan |
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+ | 1 | SubjectSubjectId | 2258 | 4 | 2258 | int | nan | nan | nan | nan | {32: 864, 71: 677, 49: 505, 101: 212} | 32 | 101 |
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+ | 2 | TopicName | 2258 | 50 | 2258 | object | 5 | 49 | 1 | 6 | nan | nan | nan |
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+ | 3 | TopicSubjectId | 2258 | 50 | 2258 | int | nan | nan | nan | nan | nan | 35 | 7294 |
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+ | 4 | SubTopicName | 2258 | 236 | 2258 | object | 4 | 64 | 1 | 11 | nan | nan | nan |
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+ | 5 | SubTopicSubjectId | 2258 | 236 | 2258 | int | nan | nan | nan | nan | nan | 33 | 7306 |
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+ | 6 | ConstructName | 2258 | 2258 | 2258 | object | 11 | 281 | 2 | 46 | nan | nan | nan |
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+ | 7 | ConstructId | 2258 | 2258 | 2258 | int | nan | nan | nan | nan | nan | 1 | 3897 |
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+
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+ </div>
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+
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+ ### Sample
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+
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+ <div style="overflow-x: auto;">
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+
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+ | | SubjectName | SubjectSubjectId | TopicName | TopicSubjectId | SubTopicName | SubTopicSubjectId | ConstructName | ConstructId |
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+ |-----:|:---------------------|-------------------:|:---------------------|-----------------:|:---------------------------------------------|--------------------:|:------------------------------------------------------------------------------------------------------------------------------------|--------------:|
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+ | 2252 | Number | 32 | Surds | 48 | Simplifying Surds | 248 | Recognise when a square root is a surd and when it is not | 721 |
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+ | 387 | Algebra | 49 | Straight Line Graphs | 54 | Graphical Solution of Simultaneous Equations | 264 | Know what pair of lines are needed to solve a pair of linear simultaneous equations graphically where some manipulation is required | 972 |
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+ | 999 | Geometry and Measure | 71 | Compound Measures | 79 | Density | 270 | Identify the units for population density | 3505 |
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+
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+ </div>