Epistemography and algebra

Details Epistemography and algebra Epistemography and algebra

2009-10-26

arxiv.org/abs/0910.4815v1

Mathematics

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10 pages

Scientific paper

We propose to address the problem of how to know students' knowledge in an entirely new approach called ?epistemography? which is, roughly, an attempt to describe the structure of this knowledge. We claim that what is to be known is made of five tightly interrelated organised systems: the mathematical universe, the system of semio-linguistic representations, the instruments, the rules of the mathematical game, and the identifiers.

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