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Cécile Ouvrier-Buffet - Theory of Didactical Situations and proof situations : analysis of two examples
epidemes:11533 - epiDEMES, December 20, 2024, 3 | 2024 - https://doi.org/10.46298/epidemes-11533Theory of Didactical Situations and proof situations : analysis of two examplesArticle
Authors: Cécile Ouvrier-Buffet 
1,2,3
- 1 Laboratoire de Didactique André Revuz
- 2 Université Paris-Est Créteil Val-de-Marne - Paris 12
- 3 Institut national supérieur du professorat et de l'éducation - Académie de Créteil
The framework of the theory of didactical situations is based on "experimental epistemology". It allows us to question mathematics and learning situations. This text will present mathematical and experimental tools derived from this theory for thinking about a typology of situations for didactic use. In particular, it will focus on didactic variables and proof situations. Two examples will illustrate these aspects. From the fields of game theory on the one hand and number theory on the other, these examples will be discussed and revisited: the Race to 20 and the Frobenius problem.
Source: HAL:hal-04138255v3
Volume: 3 | 2024
Published on: December 20, 2024
Accepted on: November 23, 2024
Submitted on: July 3, 2023
Keywords: Theory of Didactical Situations,adidactical situations,didactical variable,proof,Race to 20,Frobenius problem,Théorie des Situations Didactiques,situations adidactiques,variable didactique,Course à 20,problème de Frobenius,[MATH]Mathematics [math],[SHS]Humanities and Social Sciences
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