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