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