Alcock L., Simpson A. Ideas From Mathematics Education: An Introduction For Mathematicians

New York: Higher Education Academy Psychology Network, 2009. — 70 p.An accessible introduction to some ideas from mathematics education research. Focus is on three ideas used to structure thinking for university mathematics lecturers about what students need to learn in order to succeed in undergraduate mathematics. Specifically, to concentrate on what is needed to be learnt in order to make sense of their early encounters with abstract definitions and proofs. In brief, the main points of the chapters are:
Definitions.
Mathematical objects.
Reasoning strategies.