Within mathematics education research, the responses to the Programme for International Student Assessment's (PISA's) international testing regime tend to accept its framework and results as necessary points of reference, even when offering a critical reinterpretation or challenging national policy discourses based on PISA. In this article, we…

This article examines the extent to which Wittgenstein's analytical framework may be relevant to philosophical reflection on ethnomathematics. The discussion develops Bill Barton's suggestion that a philosophical basis for the ethnomathematical program should include and explain culturally different mathematics systems, and the coexistence of…