Gilbert Arsac
ABSTRACT This paper deals with didactic transposition. The aim of this theory is to study the factors that make school mathematics different from research mathematics. After giving a brief account of it, we study the main issues that have been debated since the theory’s existence: the definition of such notions as scholarly knowledge and noosphere, … Lire la suite
Abstract We study, on the basis of their statements, the nature and hierarchical organization of the requirements taken into account by the teachers, at the university level, when preparing a course in linear algebra. We analyze the results obtained in our experimental display in reference to the «theory of didactical transposition». We examine which constraints … Lire la suite
Résumé L’emploi de la démonstration comme outil de preuve caractérise les mathématiques parmi les autres sciences. La démonstration apparaît de plus en France dans l’enseignement destiné aux enfants de treize ans. L’article présenté ici étudie la genèse historique de la démonstration, en Grèce, au 5ème siècle avant J.C., en utilisant les travaux historiques existants, à … Lire la suite
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