Proof Practices and Constructs of Advanced Mathematics Students

Abstract Proof has traditionally been seen as an important aspect of the advanced mathematics curriculum. The study reported here examines the proof practices and constructs of a group of students educated within a ‘post‐Cockcroft’ mathematics curriculum. It finds that although, in the spirit of the reformed curriculum, students are actively involved in developing mathematical ideas, this is within a restricted mode in which ideas of enquiry have become largely instrumentalised. In particular, validation is primarily and predominantly empirical, and there is little concern for illumination and systematisation.