Constructive mathematics and teaching

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.

Talk at CM:FP 2023 (Constructive mathematics: foundations and practice) conference