Exploring a property of mixed product in the middle school inspired by Bézout's use of units
Résumé
In his arithmetic treatise, Bézout teaches arithmetic as grounded on quantities and units. It is from this perspective that we consider a property of a "mixed product", involving a multiplication on sets of quantities. In this note, we present the main lines of some didactical research on the use of this property with students of years 7 and 8 (12-14 years old). We focus mainly on the conception of units and related notions, as the multiplicative relation between units of the same kind.
Domaines
Mathématiques [math]
Origine : Fichiers produits par l'(les) auteur(s)