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arXiv · 2305.19882

Constructive mathematics and teaching

Alexander Shen
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Abstract

Constructivists (and intuitionists in general) asked what kind of mental construction is needed to convince ourselves (and others) that some mathematical statement is true. This question has a much more practical (and even cynical) counterpart: a student of a mathematics class wants to know what will the teacher accept as a correct solution of a homework problem. Here the logical structure of the claim is also very important, and we discuss several types of problems and their use in teaching mathematics.

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Alexander Shen. 2023-05-31. Constructive mathematics and teaching. https://arxiv.org/abs/2305.19882

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