The science of learning has made a considerable contribution to our understanding of
effective teaching and learning strategies. However, few instructors outside of the field are …

There has been significant growth in the literature base exploring questions of teaching in
undergraduate mathematics. In this paper we synthesize the literature on the teaching of …

The last decade has seen a rapid growth in our understanding of the cognitive systems that
underlie mathematical learning and performance, and an increased recognition of the …

Die wissenschaftliche Mathematik umfasst einerseits ein Theoriegebäude, andererseits eine
menschliche Praxis. Dies wird z. B. beim Beweisen deutlich, siehe Kapitel 2.1. 4. Im …

This paper reports findings from a case study of the impact that teaching using guided notes
has on university mathematics students' note-taking behaviour. Whereas previous research …

This study investigates 3 hypotheses about proof-based mathematics instruction:(a) that
lectures include informal content (ways of thinking and reasoning about advanced …

The metaphors that students form and encounter have been shown to exert a powerful
influence on how they think about mathematics. In this paper, we explore the linguistic …

Abstract In the United States, there is significant interest from policy boards and funding
agencies to change students' experiences in undergraduate mathematics classes. Abstract …

We were interested in exploring the extent to which advanced mathematics lecturers provide
students with opportunities to play a role in considering or generating course content. To do …

In this paper, we make a case for computing as a mathematical disciplinary practice. We
present results from interviews with research mathematicians in which they reflected on the …