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Analyze of mathematical proofs. Some questions and first answers
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Analyze of mathematical proofs. Some questions and first answers

Viviane Durand-Guerrier et Gilbert Arsac
Proceedings of the ICMI Study 19 conference: Proof and Proving in Mathematics Education, Vol.I, p.148-153
ICMI Study 19 conference: Proof and Proving in Mathematics Education
2009

Résumé

Education History and Overview Humanities and Social Sciences Mathematics
Analyzing mathematical proof is part of the work of mathematicians, but also of teachers, and of students. According with three main functions of such an analyze - checking the validity; understanding the proving strategy of the author; appropriating the mathematical field -, we explore some questions, trying to precise the contour of what is for us "to analyze a proof". This leads us to explore the respective roles of logic and mathematical objects in the proving process. Our corpus is composed of two classical mathematical proofs. We hope this paper will open paths for teachers's work at various grades at secondary or tertiary level.

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