In this study we utilize the notion of learner-generated examples, suggesting that examples
generated by students mirror their understanding of particular mathematical concepts. In …

This article deals with 12th-grade students' conceptions of a mathematical definition. Their
conceptions of a definition were revealed through individual and group activities in which …

The purpose of this paper is to further the notion of defining as a mathematical activity by
elaborating a framework that structures the role of defining in student progress from informal …

In this paper, we provide a conceptual framework of the central aspects of mathematical
definitions discussed in the mathematics education literature. Based on a systematic …

One of the earliest subjects of undergraduate mathematics education research was students'
difficulties in writing formal mathematical proofs. Some research focused on the heuristics …

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

We start from the assumption that school mathematics knowledge could be better explained
if social practices were considered to be generators of knowledge. This perspective changes …

This paper reports on an exploratory study of mathematicians' views on the teaching and
learning that occurs in a course designed to introduce students to mathematical reasoning …

This study presents a characterization of prospective early childhood teachers'(ECEPTs)
and prospective elementary school mathematics teachers'(EMEPTs) concept images and …

In the present study, we ask whether and how online assessment can inform teaching about
students' understanding of advanced concepts. Our main goal is to illustrate how we study …