Contributions of logical analysis for mathematics education

Contribution de l'analyse logique pour l'enseignement des mathématiques

Viviane Durand-Guerrier (1)

1 IMAG - Institut Montpelliérain Alexander Grothendieck

In this paper, we support the claim that although mathematics aims at using non ambiguous definitions and statements, the polysemy of natural language invites itself into the mathematics classroom, generating misunderstandings with students that are often not recognized by teachers. We provide two examples showing that the logical analysis is a tool for recognizing a priori possible ambiguities, and hence help to interpret and deal with such misunderstandings when they appear in actual teaching sessions.

Mots clés: Didactics of mathematics . First order logic. Logical analysis of mathematical language . Syntax; semantics and pragmatics . Quantification

Domaines: Mathématiques [math]; Logique [math.LO]; Sciences de l'Homme et Société

Viviane Durand-Guerrier. Contributions of logical analysis for mathematics education. Béziau, Jean-Yves; Desclés, Jean-Pierre; Moktefi, Amirouche; Pascu, Anca Christine. Logic in Question. Talks from the Annual Sorbonne Logic Workshop (2011- 2019), Springer International Publishing; Birkhäuser Basel; Springer International Publishing Switzerland, pp.549-561, 2023, Studies in Universal Logic, https://doi.org/10.1007/978-3-030-94452-0_29. ⟨10.1007/978-3-030-94452-0⟩. ⟨hal-02070085⟩