Philosophy of mathematical practice and mathematics education: Cross-fertilization, dialogue and prospects

Abstract

Mathematics education and the philosophy of mathematical practice are two fields of research whose domains of investigation overlap in a striking way. And yet, interactions between the two fields have been very limited so far, research being mostly conducted in parallel, sometimes on the very same issues. As a consequence, the potential for interaction and cross-fertilization between the two fields remains largely under-explored and under-exploited. The aim of this article is to encourage these interactions by indicating a number of concrete research opportunities where existing contributions in one field may lead to original developments in the other.