ABSTRACT

This chapter presents selected main problems and results from research on university mathematics education (RUME) which have continuously and fruitfully appeared at Congress of European Research in Mathematics Education (CERME), with a deliberate focus on current and emerging trends. It has two main parts: research into current practices of university mathematics education (UME), and developmental or experimental research, where an intervention design is part of the research project. The chapter considers UME research focused exclusively on students who are not specialising in pure or applied mathematics. It highlights mostly research that places emphasis on this difference of institutional context. Mathematics is an ancient scholarly discipline, with distinct and related practices of research and education. Studies involving more advanced domains from pure mathematics, such as Abstract Algebra or Topology, slowly but surely begin to appear in CERME papers. The chapter concludes with some possible directions for the future of RUME and, in particular, its potential contributions to UME.