Math Problem Dataset

This is a geometry math problem dataset that focus on the quantitaive reasoning (stand upon the Descartes's mind to measure geometry). It can be used for different research fields: student modeling, natural language processing, scaffolding synthesis.

Three dimensions of data:

1. Math problems: Problems.json

2. Math concepts: Topics.json + Concepts.json

3. Math scaffolding per problem: Scaffoldings.json (preliminary structure)

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Dimension 1:

Format of Problems.json:

Column Name	Column Type	Column Explanation
id	string	GUID
problem	string	Text Problem
semantic	array	Annotated Math Semantic of natural language math problem
concept	array	Annotated Concepts covered in the problem (Concepts.json)
topic	string	Annotated Math Problem Topic (Topics.json)
solution	array	Annotate problem solution

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Dimension 2:

Format of Topics.json:

Column Name	Column Type	Column Explanation
topic	string	Topic Name
dependencies	array	Dependent Topics

Format of Concepts.json:

Column Name	Column Type	Column Explanation
concept	string	Concept Name
topic	string	Topic Name
dependencies	array	Dependent Concepts

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Dimension 3:

Format of Scaffolds.json:

Column Name	Column Type	Column Explanation
problem-id	string	corresponds to ID in problems.json
problem-text	string	question being asked
steps	list of records	step in scaffold (see below)

"step" record:

Column Name	Column Type	Column Explanation
id	string	unique identifier
type	string	summary,meta,concept-scaffold, procedural-scaffold,solution
text	string	embed text of scaffold step
dependencies	list of list	map all potential dependency step
concepts-used	list of strings	embed all topics employed by step
procedurals	list of steps	recursively add steps into the current step