Epistemology, Didactics of Mathematics, and Teaching Practices

Abstract

With this article, we intend to contribute to a unitary vision of various terms and concepts spread throughout the international mathematics education community, giving them unity and seeking the historical roots of their introduction in that community. Despite the different meanings attributed to them today, many of these terms were introduced from their origins, mainly by Guy Brousseau, striving for synthesis and ad hoc redefinition. They evolved over time, and some of these evolutions relate to the most classical topics. Here we focus on the example of the didactic contract. Keywords: Epistemology of Didactics. Teaching Practice. Didactic Contract. Brousseau’s Works. Didactic Triangle and Polygons.