This paper introduces two central questions (1) what are available methodologies for
making claims about mathematical practice and (2) when and how do claims about …

In this chapter we focus on the concept of proof, which is important for students'
mathematical education but also hard for teachers to teach and difficult for students to learn …

This article presents a comparison of the proof validation behavior of beginning
undergraduate students and research-active mathematicians. Participants' eye movements …

Although proof comprehension is fundamental in advanced undergraduate mathematics
courses, there has been limited research on what it means to understand a mathematical …

We describe a case study in which we investigate the effectiveness of a lecture in advanced
mathematics. We first videorecorded a lecture delivered by an experienced professor who …

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 …

Research in tertiary mathematics education is a fast growing field as evidenced by the
success of the Topic Study Group on Mathematics Education at Tertiary Level in the …

The received view of mathematical practice is that mathematicians gain certainty in
mathematical assertions by deductive evidence rather than empirical or authoritarian …

Justification is a core mathematics practice. Although the purposes of justification in the
mathematician community have been studied extensively, we know relatively little about its …

Wie alle Dissertationen ist auch die hier vorliegende ein Produkt der Umstände unter denen
sie geschrieben wurde und die ihre Erstellung beeinflussten oder sogar erst ermöglichten …