The Philosophy of Mathematics Education

Abstract

The philosophy of mathematics education (PoME) is a field of inquiry that pursues questions arising from the long tradition of mathematics as a school subject. An integrated area of study, PoME draws on other established disciplines such as philosophy of mathematics and philosophy of education. However, propositions and theses within PoME also have implications for the theory and practice of mathematics education. Rather than actively blurring boundaries among contributory disciplines, PoME is a subdiscipline that reflects their inherent interdependence. Many of PoME’s core questions address the very nature of mathematics, how we come to learn it, and the historical and contemporary aims of mathematics education. Though not the first to address these individual lines of inquiry, Paul Ernest’s The Philosophy of Mathematics Education (1991) may be regarded as PoME’s inaugural text. His landmark publication also demonstrated how philosophical inquiry may guide critical analysis of educational practices and policies. Questions about what mathematics is are not disentangled from those about its teaching and learning. Thus, PoME demonstrates a kind of internal elasticity: how we answer one question has a bearing on how we might answer another. For example, is mathematics something “found” or “made”? The perception of mathematics—how we tend to characterize its nature—can underscore beliefs about mathematics pedagogy. The view of mathematics as a cultural construct (rather than an absolute body of knowledge and related skills) likely dovetails with a constructivist pedagogical approach. But at the same time, such a view of mathematics may encounter ideological tension, if not outright resistance, in sociopolitical arenas. Reconceptualizing mathematics and mathematics education may be considered philosophical endeavors that challenge dominant assumptions and build frameworks with the potential to make mathematics fundamentally more inclusive. The story of PoME is the story of its genesis, its role in imagining a more equitable and humanistic school math experience, and the need to make room for new, alternative approaches and viewpoints that honor the radical spirit in which PoME was developed.