Approaches to teaching mathematics and their relation to students’ mathematical meaning making.

This paper addresses theory and practice in the teaching of mathematics in university lectures and tutorials that is designed to promote students’ mathematical meaning-making. It draws on areas of theory and five research studies to characterise teaching, to illustrate how theory can be used to analyse teaching and to relate meaning making in teachers’ teaching and students’ mathematics. It begins to develop a body of research on teaching practice and its development at university level, identify key areas of knowledge and to present questions for further research.