Un retour de notions de logique dans les programmes de mathématiques pour le lycée : un nouveau savoir à enseigner

With the resurgence of logical concepts in new syllabuses, a knowledge to be taught appears more explicitly than it did in previous years. This led me to study the teaching of logical concepts in high school as the study of a didactical transposition process. But because the goal is not to teach mat...

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Detalhes bibliográficos
Publicado no:URI:https://journals.openedition.org/adsc,
Autor principal: Mesnil, Zoé
Formato: Article ou chapitre numérique
Idioma:Français
Publicado em: Annales de Didactique et de Sciences Cognitives 2022
Assuntos:
Acesso em linha:Accès Université d'Orléans et IFPM
Accès Université d'Orléans et IFPM
Descrição
Resumo:With the resurgence of logical concepts in new syllabuses, a knowledge to be taught appears more explicitly than it did in previous years. This led me to study the teaching of logical concepts in high school as the study of a didactical transposition process. But because the goal is not to teach mathematical logic, but to teach logical tools for mathematical activity, I propose to introduce into the didactical transposition’s scheme a reference knowledge between the mathematical knowledge (mathematical logic) and the knowledge to be taught. In this article, I am showing through the example of the implication, which aspects of logical concepts it would be relevant to take into account in such a knowledge, and I rely on the criteria established to construct a framework for analyzing syllabuses and textbooks.