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Eedi-Misconceptions-Graph

SubjectName stringclasses 4 values	SubjectSubjectId int64 32 101	TopicName stringclasses 50 values	TopicSubjectId int64 35 7.29k	SubTopicName stringclasses 236 values	SubTopicSubjectId int64 33 7.31k	ConstructName stringlengths 11 281	ConstructId int64 1 3.9k
Algebra	49	Algebraic Fractions	255	Adding and Subtracting Algebraic Fractions	1,078	Add algebraic fractions where one denominator is a multiple of the other	1,616
Algebra	49	Algebraic Fractions	255	Adding and Subtracting Algebraic Fractions	1,078	Add algebraic fractions where the denominators are single terms and are not multiples of each other	1,617
Algebra	49	Algebraic Fractions	255	Adding and Subtracting Algebraic Fractions	1,078	Add algebraic fractions with the same denominator	1,615
Algebra	49	Algebraic Fractions	255	Adding and Subtracting Algebraic Fractions	1,078	Subtract algebraic fractions where the denominators are linear expressions, eg (x + 5) and (x - 3), and the numerators are single terms	1,624
Algebra	49	Algebraic Fractions	255	Adding and Subtracting Algebraic Fractions	1,078	Subtract algebraic fractions where the denominators are single terms and are not multiples of each other	1,623
Algebra	49	Algebraic Fractions	255	Multiplying and Dividing Algebraic Fractions	1,079	Divide algebraic fractions involving non-linear expressions	1,632
Algebra	49	Algebraic Fractions	255	Multiplying and Dividing Algebraic Fractions	1,079	Divide algebraic fractions where the numerators and denominators are all single terms	1,630
Algebra	49	Algebraic Fractions	255	Multiplying and Dividing Algebraic Fractions	1,079	Divide algebraic fractions where the numerators and denominators involve linear expressions	1,631
Algebra	49	Algebraic Fractions	255	Multiplying and Dividing Algebraic Fractions	1,079	Multiply algebraic fractions involving non-linear expressions	1,629
Algebra	49	Algebraic Fractions	255	Multiplying and Dividing Algebraic Fractions	1,079	Multiply algebraic fractions where the numerators and denominators are all single terms	1,627
Algebra	49	Algebraic Fractions	255	Multiplying and Dividing Algebraic Fractions	1,079	Multiply algebraic fractions where the numerators and denominators involve linear expressions	1,628
Algebra	49	Algebraic Fractions	255	Simplifying Algebraic Fractions	1,077	Simplify an algebraic fraction by dividing by a single letter	1,610
Algebra	49	Algebraic Fractions	255	Simplifying Algebraic Fractions	1,077	Simplify an algebraic fraction by dividing by a single number	1,609
Algebra	49	Algebraic Fractions	255	Simplifying Algebraic Fractions	1,077	Simplify an algebraic fraction by dividing by a term involving a number and a letter	1,611
Algebra	49	Algebraic Fractions	255	Simplifying Algebraic Fractions	1,077	Simplify an algebraic fraction by factorising both the numerator and denominator	1,614
Algebra	49	Algebraic Fractions	255	Simplifying Algebraic Fractions	1,077	Simplify an algebraic fraction by factorising the denominator	1,613
Algebra	49	Algebraic Fractions	255	Simplifying Algebraic Fractions	1,077	Simplify an algebraic fraction by factorising the numerator	1,612
Algebra	49	Coordinates	81	Distance Between Two Coordinates	410	Calculate the distance between two coordinates in 2D, where all the values are integers but at least one is negative	1,400
Algebra	49	Coordinates	81	Distance Between Two Coordinates	410	Calculate the distance between two coordinates in 2D, where all the values are positive integers	1,399
Algebra	49	Coordinates	81	Distance Between Two Coordinates	410	Find the distance between points on a vertical or horizontal line using absolute values	3,788
Algebra	49	Coordinates	81	Gradient Between Two Coordinates	409	Calculate a negative fractional gradient between two coordinates where some values are negative	1,390
Algebra	49	Coordinates	81	Gradient Between Two Coordinates	409	Calculate a negative integer gradient between two coordinates where some values are negative	1,388
Algebra	49	Coordinates	81	Gradient Between Two Coordinates	409	Calculate a positive fractional gradient between two coordinates where all values are positive	1,385
Algebra	49	Coordinates	81	Gradient Between Two Coordinates	409	Calculate a positive integer gradient between two coordinates where all values are positive	1,383
Algebra	49	Coordinates	81	Gradient Between Two Coordinates	409	Understand the term gradient	3,478
Algebra	49	Coordinates	81	Gradient Between Two Coordinates	409	Using similar triangles to understand slope	3,542
Algebra	49	Coordinates	81	Midpoint Between Two Coordinates	408	Calculate the midpoint between two coordinates in 2D, where all the values are integers but at least one is negative	1,377
Algebra	49	Coordinates	81	Midpoint Between Two Coordinates	408	Calculate the midpoint between two coordinates in 2D, where all the values are positive integers	1,375
Algebra	49	Coordinates	81	Midpoint Between Two Coordinates	408	Calculate the midpoint between two coordinates in 2D, where at least one value is negative and at least one is a non-integer	1,381
Algebra	49	Coordinates	81	Midpoint Between Two Coordinates	408	Given a midpoint and a coordinate work out the position of the other coordinate, where all the values are integers but at least one is negative	1,378
Algebra	49	Coordinates	81	Midpoint Between Two Coordinates	408	Given a midpoint and a coordinate work out the position of the other coordinate, where at least one value is negative and at least one is a non-integer	1,382
Algebra	49	Coordinates	81	Naming Coordinates in 2D	406	Describe a point in the first quadrant of a 2D grid by giving its coordinates, where at least one value is not an integer	1,351
Algebra	49	Coordinates	81	Naming Coordinates in 2D	406	Describe a point in the first quadrant of a 2D grid by giving its coordinates, where both values are integers	1,349
Algebra	49	Coordinates	81	Naming Coordinates in 2D	406	Describe a point in the fourth quadrant of a 2D grid by giving its coordinates, where at least one value is not an integer	1,363
Algebra	49	Coordinates	81	Naming Coordinates in 2D	406	Describe a point in the fourth quadrant of a 2D grid by giving its coordinates, where both values are integers	1,361
Algebra	49	Coordinates	81	Naming Coordinates in 2D	406	Describe a point in the second quadrant of a 2D grid by giving its coordinates, where both values are integers	1,353
Algebra	49	Coordinates	81	Naming Coordinates in 2D	406	Describe a point in the third quadrant of a 2D grid by giving its coordinates, where at least one value is not an integer	1,359
Algebra	49	Coordinates	81	Naming Coordinates in 2D	406	Describe a point in the third quadrant of a 2D grid by giving its coordinates, where both values are integers	1,357
Algebra	49	Coordinates	81	Naming Coordinates in 2D	406	Describe a point on the axes of a 2D grid by giving its coordinates, where the non-zero value is an integer	1,365
Algebra	49	Coordinates	81	Naming Coordinates in 2D	406	Given a quadrant, identify a coordinate that would lie in it	3,780
Algebra	49	Coordinates	81	Naming Coordinates in 2D	406	Identify the quadrant that a coordinate lies in	3,549
Algebra	49	Coordinates	81	Naming Coordinates in 2D	406	Identify the x and y values of a coordinate pair	3,670
Algebra	49	Coordinates	81	Naming Coordinates in 2D	406	Mark a point in the first quadrant of a 2D grid having been given its coordinates, where both values are integers	1,350
Algebra	49	Coordinates	81	Naming Coordinates in 2D	406	Mark a point in the fourth quadrant of a 2D grid having been given its coordinates, where at least one value is not an integer	1,364
Algebra	49	Coordinates	81	Naming Coordinates in 2D	406	Mark a point in the fourth quadrant of a 2D grid having been given its coordinates, where both values are integers	1,362
Algebra	49	Coordinates	81	Naming Coordinates in 2D	406	Mark a point in the second quadrant of a 2D grid having been given its coordinates, where at least one value is not an integer	1,356
Algebra	49	Coordinates	81	Naming Coordinates in 2D	406	Mark a point in the second quadrant of a 2D grid having been given its coordinates, where both values are integers	1,354
Algebra	49	Coordinates	81	Naming Coordinates in 2D	406	Mark a point in the third quadrant of a 2D grid having been given its coordinates, where both values are integers	1,358
Algebra	49	Coordinates	81	Naming Coordinates in 2D	406	Mark a point on the axes of a 2D grid having been given its coordinates, where the non-zero value is an integer	1,366
Algebra	49	Coordinates	81	Naming Coordinates in 2D	406	Mark or describe a point in the first quadrant of a 2D grid in context	3,652
Algebra	49	Coordinates	81	Naming Coordinates in 2D	406	Understand the definition of the origin on a coordinate grid	1,348
Algebra	49	Coordinates	81	Reading Coordinates from a Graph	7,282	Given a y value, find the corresponding x value from a linear graph	3,439
Algebra	49	Coordinates	81	Reading Coordinates from a Graph	7,282	Given a y value, find the corresponding x value from a non -linear graph	3,441
Algebra	49	Coordinates	81	Reading Coordinates from a Graph	7,282	Given an x value, find the corresponding y value from a linear graph	3,438
Algebra	49	Coordinates	81	Reading Coordinates from a Graph	7,282	Given an x value, find the corresponding y value from a non-linear graph	3,440
Algebra	49	Expanding Brackets	152	Expanding Double Brackets	51	Expand double brackets with an extra variable outside	1,412
Algebra	49	Expanding Brackets	152	Expanding Double Brackets	51	Expand two brackets with linear terms in the form (ax + b)(cx + d)	1,410
Algebra	49	Expanding Brackets	152	Expanding Double Brackets	51	Expand two brackets with linear terms in the form (ax + b)(x + c)	1,409
Algebra	49	Expanding Brackets	152	Expanding Double Brackets	51	Expand two brackets with linear terms in the form (ax + b)²	1,411
Algebra	49	Expanding Brackets	152	Expanding Double Brackets	51	Expand two brackets with linear terms in the form (x + a)(x + b)	1,407
Algebra	49	Expanding Brackets	152	Expanding Double Brackets	51	Expand two brackets with linear terms in the form (x + a)²	1,408
Algebra	49	Expanding Brackets	152	Expanding Single Brackets	50	Multiply a single term over a bracket where the term on the outside contains a letter and the inside contains a linear expression	1,405
Algebra	49	Expanding Brackets	152	Expanding Single Brackets	50	Multiply a single term over a bracket where the term on the outside is a number and the inside contains a linear expression	1,403
Algebra	49	Expanding Brackets	152	Expanding Triple Brackets and more	335	Expand products of three binomials in the form (x + a)(x + b)(x + c)	1,414
Algebra	49	Expanding Brackets	152	Expanding Triple Brackets and more	335	Expand products of three binomials where the coefficient of x > 1 for at least one of the binomials	1,415
Algebra	49	Factorising	153	Completing the Square	256	Complete the square for expressions that end up in the form (x + a)² + b	1,439
Algebra	49	Factorising	153	Completing the Square	256	Complete the square for expressions that end up in the form a(x + b)² + c	1,440
Algebra	49	Factorising	153	Difference of Two Squares	254	Factorise a quadratic expression in the form ax² - c	1,438
Algebra	49	Factorising	153	Difference of Two Squares	254	Factorise a quadratic expression in the form x² - c	1,437
Algebra	49	Factorising	153	Factorising into a Double Bracket	53	Factorise a quadratic expression in the form ax² + bx + c	1,433
Algebra	49	Factorising	153	Factorising into a Double Bracket	53	Factorise a quadratic expression in the form ax² + bx + c where a is prime	1,434
Algebra	49	Factorising	153	Factorising into a Double Bracket	53	Factorise a quadratic expression in the form x² + bx + c	1,428
Algebra	49	Factorising	153	Factorising into a Double Bracket	53	Factorise a quadratic expression in the form x² + bx - c	1,430
Algebra	49	Factorising	153	Factorising into a Double Bracket	53	Factorise a quadratic expression in the form x² - bx + c	1,429
Algebra	49	Factorising	153	Factorising into a Double Bracket	53	Factorise a quadratic expression in the form x² - bx - c	1,431
Algebra	49	Factorising	153	Factorising into a Double Bracket	53	Recognise when it is possible to factorise an expression into a double bracket	1,427
Algebra	49	Factorising	153	Factorising into a Single Bracket	52	Factorise a single bracket containing a linear expression by taking out a single numeric common factor (e.g. 6)	1,421
Algebra	49	Factorising	153	Factorising into a Single Bracket	52	Factorise a single bracket containing a non-linear expression by taking out a common factor involving numeric and algebraic components (e.g. 5a)	1,426
Algebra	49	Factorising	153	Factorising into a Single Bracket	52	Factorise a single bracket containing a non-linear expression by taking out a single algebraic common factor (e.g. a)	1,425
Algebra	49	Factorising	153	Factorising into a Single Bracket	52	Factorise a single bracket containing a non-linear expression by taking out a single numeric common factor (e.g. 6)	1,424
Algebra	49	Factorising	153	Factorising into a Single Bracket	52	Identify factors of algebraic expressions	3,134
Algebra	49	Factorising	153	Factorising into a Single Bracket	52	Identify the factors of a term	3,483
Algebra	49	Formulae	156	Rearranging Formulae and Equations	60	Rearrange formulae to change the subject where the subject appears more than once	1,524
Algebra	49	Formulae	156	Rearranging Formulae and Equations	60	Rearrange formulae to change the subject where the subject appears once and one step is needed	1,521
Algebra	49	Formulae	156	Rearranging Formulae and Equations	60	Rearrange formulae to change the subject where the subject appears once and three or more steps are needed	1,523
Algebra	49	Formulae	156	Rearranging Formulae and Equations	60	Rearrange formulae to change the subject where the subject appears once and two steps are needed	1,522
Algebra	49	Formulae	156	Writing Formulae	157	Identify independent and dependent variables	3,538
Algebra	49	Formulae	156	Writing Formulae	157	Interpret the terms on a formula and how they relate to the context of the situation	1,534
Algebra	49	Formulae	156	Writing Formulae	157	Write a formula to describe a situation	1,533
Algebra	49	Functions	7,294	Composite Functions	7,298	Given a linear f(x), work-out ff(x)	1,651
Algebra	49	Functions	7,294	Composite Functions	7,298	Given f(x) and g(x) where both are linear, work-out fg(x)	1,647
Algebra	49	Functions	7,294	Composite Functions	7,298	Given f(x) and g(x) where f(x) is non-linear, work-out fg(x)	1,648
Algebra	49	Functions	7,294	Composite Functions	7,298	Given f(x) and g(x) where g(x) is non-linear, work-out fg(x)	1,649
Algebra	49	Functions	7,294	Function Notation	7,295	Given f(x) substitute algebraic terms, such as f(2x)	1,639
Algebra	49	Functions	7,294	Function Notation	7,295	Given f(x) substitute negative values of x	1,638
Algebra	49	Functions	7,294	Function Notation	7,295	Given f(x) substitute positive values of x	1,637
Algebra	49	Functions	7,294	Inverse Functions	7,297	Calculate an inverse function involving a single step and using f(x) notation	1,640
Algebra	49	Functions	7,294	Inverse Functions	7,297	Calculate an inverse function involving three or more steps and using f(x) notation	1,642
Algebra	49	Functions	7,294	Inverse Functions	7,297	Calculate an inverse function involving two steps and using f(x) notation	1,641
Algebra	49	Functions	7,294	Inverse Functions	7,297	Recognise the graphical relationship between functions and their inverse	1,646

End of preview. Expand in Data Studio

Eedi Misconceptions Graph v1.0

A map of mathematical misconceptions and the curriculum constructs they appear in, released by Eedi under a CC BY 4.0 licence.

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".

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.

File	Rows	Description
`data/misconception-map.csv`	19,294	Misconception ↔ construct edges, weighted, with the full topic hierarchy on each row
`data/construct-map.csv`	2,258	The construct catalogue and its subject → topic → sub-topic hierarchy
`docs/data-dictionary.md`	—	Field definitions, per-field statistics and samples

Coverage: 8,117 misconceptions, 2,258 constructs, 236 sub-topics, 50 topics, 4 subjects (Number, Geometry and Measure, Algebra, Data and Statistics).

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.

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.

What is not included

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.

Licence

This work is licensed under a Creative Commons Attribution 4.0 International Licence (CC BY 4.0).

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.

The material is offered as-is, without warranties of any kind.

The full licence text is in LICENSE.

Attribution

Credit the work like this:

"Eedi Misconceptions Graph v1.0" by Eedi, licensed under CC BY 4.0.

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.

Please do not imply that Eedi endorses you or your use of the data.

Version

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.

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Eedi Misconceptions Graph v1.0

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