Curriculum

Classroom-ready materials for theory building activities. Each module includes a teacher guide, student handouts, extensions, and assessment tools.

The Podgon Game

A definition-guessing game that develops skills in careful defining, counterexample reasoning, and precision of mathematical language.

Grades 6-10 · 4 documents

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Triangle Theory Building

Students build a theory of triangles by listing claims, constructing proof trees through assumption digging, and discovering definitions, axioms, and the structure of mathematical reasoning.

Grades 8-11 · 4 documents

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Discrete Geometry

Students create finite-point worlds by choosing definitions and rules, then explore how concepts like straight lines, bisection, circles, and triangles behave when assumptions change.

Grades 8-11 · 4 documents

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