Towards a Problématique for Research on Mathematics Teaching

This article presents the main features of the theoretical framework of French research known as recherches en didactique des mathématiques . The foundation of this approach consists mainly of the relationships between two hypotheses and two constraints, which are presented together with some specific key words. Outlines are given of Brousseau's théorie des situations didactiques (theory of didactical situations). An example is given that presents in some detail the rationale for the construction of a didactical situation and its analysis. This article ends with some questions addressed to research on mathematics teaching.