With the development of qualitative methodologies, interviewing has become one of the
main tools in mathematics education research. As the first step in analyzing interviewing in …

The ability to construct proofs is an important skill for all mathematicians. Despite its
importance, students have great difficulty with this task. In this paper, I first demonstrate that …

1. INTRODUCTION. Over the past several decades, many of those involved with
mathematics education at the college and university level have turned their attention to the …

How do undergraduate students cope with abstract algebra concepts? How should we go
about researching this question? Based on interviews with undergraduate students and on …

Amongst Mathematicians offers a unique perspective on the ways in which mathematicians
perceive their students' learning, teach and reflect on their teaching practice; also on how …

In Sect. 1, after discussing how proof at the tertiary level is different from proof at the school
level, we discuss transitions from secondary to undergraduate level and from undergraduate …

Research in mathematics education usually attempts to look into students' learning and
other mental processes. It could therefore be expected to build on knowledge acquired …

When a topologist colleague was asked to teach remedial geometry, he used Schaum's
Outline of Geometry and also wrote proofs on the blackboard. One day a student, who was …

This paper is one in a series of studies by members of the “Research in Undergraduate
Mathematics Education Community,” orRUMEC, concerning the nature and development of …

Mathematics; Clarifying the distinction between mathematical research and mathematics
education, this book offers hundreds of suggestions for making small and medium sized …