The University of Montana
Department of Mathematical Sciences

Technical report #7/2010

Surveying theories and philosophies of mathematics education

Bharath Sriraman
Dept. of Mathematical Sciences
The University of Montana

Lyn English
Queensland University of Technology
Brisbane, Australia


Abstract

Any theory of thinking or teaching or learning rests on an underlying philosophy of knowledge. Mathematics education is situated at the nexus of two fields of inquiry, namely mathematics and education. However, numerous other disciplines interact with these two fields, which compound the complexity of developing theories that define mathematics education. We first address the issue of clarifying a philosophy of mathematics education before attempting to answer whether theories of mathematics education are constructible.

Keywords: philosophy of mathematics; philosophy of mathematics education; theory of knowledge; theory of mathematics education

AMS Subject Classification: 97

Prepress version of Sriraman, B., & English, L.(2010). Surveying theories and philosophies of mathematics education. In° B. Sriraman & L. D. English (Eds.), Theories of mathematics education: Seeking new frontiers (pp. 7-29). Advances in Mathematics Education, Series: Springer. Pdf (322 KB)