Datasets:
File size: 14,504 Bytes
2ae0839 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 | # Data dictionary — Eedi Misconceptions Graph v1.0
Field definitions, summary statistics and samples for the two data files.
See the [README](../README.md) for what the dataset is, how to read it, and how it is licensed.
Released under [CC BY 4.0](https://creativecommons.org/licenses/by/4.0/) by [Eedi](https://www.eedi.com).
1. [misconception-map](#misconception-map)
2. [construct-map](#construct-map)
## misconception-map <a name='misconception-map' id='misconception-map'></a>
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
<div style="overflow-x: auto;">
| | 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} |
</div>
### Sample
<div style="overflow-x: auto;">
| | 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 |
</div>
## construct-map <a name='construct-map' id='construct-map'></a>
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
<div style="overflow-x: auto;">
| | 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 |
</div>
### Sample
<div style="overflow-x: auto;">
| | 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 |
</div>
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