Math Education Readings

Nature of Mathematics

1. Proofs and Refutations: The Logic of Mathematical Discovery by Imre Lakatos
2. A Mathematician’s Apology (Canto) by G.H. Hardy
3. What is mathematics for? by Underwood Dudley
4. 18 Unconventional Essays on the Nature of Mathematics
5. The Best Writing on Mathematics 2010 by Mercea Pitici
6. The Best Writing on Mathematics 2011by Mercea Pitici
7. Euclid’s Elements (online)
8. Nature of Mathematics (blog)

Learning Theories

1. Theories of Mathematics Education: Seeking New Frontiers (Advances in Mathematics Education) by Lyn English, B. Sriraman
2. Theories of Learning (site) classified according major theories
3. Index of learning theories (site)
4. Learning-Theories (blog)
5. Skemp

Teaching Mathematics

1. Anna Sierpinska’s Lecture Notes – theory of didactical situation
2. What counts as Mathematical Discourse

Research

1. Critical Guidelines for Peer Reviewers