Datasets:
Data dictionary — Eedi Misconceptions Graph v1.0
Field definitions, summary statistics and samples for the two data files. See the README for what the dataset is, how to read it, and how it is licensed.
Released under CC BY 4.0 by Eedi.
misconception-map
The Eedi 'misconception map'.
Eedi defines a "Misconception" as a flawed conceptual structure or gap in conceptual understanding that manifests as a systematic and predictable error pattern across various problems involving the same mathematical concept.
This could reflect a lack of necessary prior knowledge or an incorrect association between mathematical ideas.
On the Eedi platform, students answer multiple-choice Diagnostic Questions, which have one correct answer and three distractors. The distractors have been tagged with misconceptions, and the questions themselves live within a topic hierarchy. With this information, we can understand which misconceptions are related to which areas of mathematics. We can also identify misconceptions that span multiple areas of mathematics.
The data here provides information about the misconceptions and topic hierarchy in a tabular format.
Glossary
| Term | Definition |
|---|---|
| MisconceptionId | Unique identifier for the misconception. |
| MisconceptionName | The name of the misconception. |
| 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. |
| ConstructId | Unique identifier for the construct. A construct is a small element of mathematics. |
| ConstructName | The name of the construct, e.g. 'Solve quadratic equations using factorisation in the form (x + a)(x + b)'. |
| SubTopicSubjectId | Unique identifier for the sub-topic. A sub-topic is broader than a construct. |
| SubTopicName | The name of the sub-topic, e.g. 'Quadratic Equations'. |
| TopicSubjectId | Unique identifier for the topic. A topic is broader than a sub-topic. |
| TopicName | The name of the topic, e.g. 'Solving Equations'. |
| SubjectSubjectId | Unique identifier for the subject. A subject is broader than a topic. |
| SubjectName | The name of the subject, e.g. 'Algebra'. |
Statistics
| field | count | nunique | non-null | type | min | max | min_length | max_length | min_words | max_words | 25% | 50% | 75% | value_counts | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | MisconceptionId | 19294 | 8117 | 19294 | int | 13708 | 29202 | nan | nan | nan | nan | nan | nan | nan | nan |
| 1 | MisconceptionName | 19294 | 8117 | 19294 | object | nan | nan | 14 | 240 | 2 | 44 | nan | nan | nan | nan |
| 2 | PercentageMisconceptionExistsInThisConstruct | 19294 | 808 | 19294 | float | 0.258 | 100 | nan | nan | nan | nan | 8.333 | 27.273 | 91.667 | nan |
| 3 | ConstructId | 19294 | 2258 | 19294 | int | 1 | 3897 | nan | nan | nan | nan | nan | nan | nan | nan |
| 4 | ConstructName | 19294 | 2258 | 19294 | object | nan | nan | 11 | 281 | 2 | 46 | nan | nan | nan | nan |
| 5 | SubTopicSubjectId | 19294 | 236 | 19294 | int | 33 | 7306 | nan | nan | nan | nan | nan | nan | nan | nan |
| 6 | SubTopicName | 19294 | 236 | 19294 | object | nan | nan | 4 | 64 | 1 | 11 | nan | nan | nan | nan |
| 7 | TopicSubjectId | 19294 | 50 | 19294 | int | 35 | 7294 | nan | nan | nan | nan | nan | nan | nan | nan |
| 8 | TopicName | 19294 | 50 | 19294 | object | nan | nan | 5 | 49 | 1 | 6 | nan | nan | nan | nan |
| 9 | SubjectSubjectId | 19294 | 4 | 19294 | int | 32 | 101 | nan | nan | nan | nan | nan | nan | nan | {32: 8617, 71: 5053, 49: 3755, 101: 1869} |
| 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} |
Sample
| MisconceptionId | MisconceptionName | PercentageMisconceptionExistsInThisConstruct | ConstructId | ConstructName | SubTopicSubjectId | SubTopicName | TopicSubjectId | TopicName | SubjectSubjectId | SubjectName | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 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 |
| 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 |
| 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 |
construct-map
The Eedi 'construct map'.
Eedi defines a 'Construct' as a small element of mathematics, for example: 'Order fractions with the same denominators'.
These constructs live within a topic hierarchy. The data here provides information about the constructs and topic hierarchy in a tabular format.
All of the constructs shown here have associated questions created by Eedi. These questions have been tagged with misconceptions, such that it is possible to understand which misconceptions are related to which areas of mathematics. This additional layer of information is not provided here, but forms our separate 'misconception map'.
Glossary
| Term | Definition |
|---|---|
| SubjectName | The name of the subject, e.g. 'Algebra'. |
| SubjectSubjectId | Unique identifier for the subject. A subject is broader than a topic. |
| TopicName | The name of the topic, e.g. 'Solving Equations'. |
| TopicSubjectId | Unique identifier for the topic. A topic is broader than a sub-topic. |
| SubTopicName | The name of the sub-topic, e.g. 'Quadratic Equations'. |
| SubTopicSubjectId | Unique identifier for the sub-topic. A sub-topic is broader than a construct. |
| ConstructName | The name of the construct, e.g. 'Solve quadratic equations using factorisation in the form (x + a)(x + b)'. |
| ConstructId | Unique identifier for the construct. A construct is a small element of mathematics. |
Statistics
| field | count | nunique | non-null | type | min_length | max_length | min_words | max_words | value_counts | min | max | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | SubjectName | 2258 | 4 | 2258 | object | 6 | 20 | 1 | 3 | {'Number': 864, 'Geometry and Measure': 677, 'Algebra': 505, 'Data and Statistics': 212} | nan | nan |
| 1 | SubjectSubjectId | 2258 | 4 | 2258 | int | nan | nan | nan | nan | {32: 864, 71: 677, 49: 505, 101: 212} | 32 | 101 |
| 2 | TopicName | 2258 | 50 | 2258 | object | 5 | 49 | 1 | 6 | nan | nan | nan |
| 3 | TopicSubjectId | 2258 | 50 | 2258 | int | nan | nan | nan | nan | nan | 35 | 7294 |
| 4 | SubTopicName | 2258 | 236 | 2258 | object | 4 | 64 | 1 | 11 | nan | nan | nan |
| 5 | SubTopicSubjectId | 2258 | 236 | 2258 | int | nan | nan | nan | nan | nan | 33 | 7306 |
| 6 | ConstructName | 2258 | 2258 | 2258 | object | 11 | 281 | 2 | 46 | nan | nan | nan |
| 7 | ConstructId | 2258 | 2258 | 2258 | int | nan | nan | nan | nan | nan | 1 | 3897 |
Sample
| SubjectName | SubjectSubjectId | TopicName | TopicSubjectId | SubTopicName | SubTopicSubjectId | ConstructName | ConstructId | |
|---|---|---|---|---|---|---|---|---|
| 2252 | Number | 32 | Surds | 48 | Simplifying Surds | 248 | Recognise when a square root is a surd and when it is not | 721 |
| 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 |
| 999 | Geometry and Measure | 71 | Compound Measures | 79 | Density | 270 | Identify the units for population density | 3505 |