We report on our analysis of data from a dataset of 26 videotapes of university students
working in groups of 2 and 3 on different proving problems. Our aim is to understand the role …

Examples can play a critical role in the exploration of conjectures and in the subsequent
development of proofs. Although proof has been an object of extensive study, there is more …

Proof is central to mathematical practice, yet a perennial concern is that students of all ages
struggle in learning to prove. Mathematics education scholars have suggested that …

Various studies have been conducted regarding the use of examples in a mathematical
proof. This study aims to describe how the students use the example in the proof analyzed …

The paper provides an overview of the broad field of research on the roles and use of
examples in mathematical learning and thinking, specifically in concept learning and …

Beim Übergang von der Schule zur Hochschule im Fach Mathematik verändern sich Lehr-
Lern-Prozesse substanziell: Während im Schulunterricht Inhalte verstärkt zur Lösung …

Creativity is one of the most important aspects of mathematicians' work (Sriraman 2004),
whether it is an enlightenment that is somewhat unexpected or a product that is aesthetically …

A persistent challenge in supporting students' proof activity is fostering the transition from
less formal, empirical arguments to formal deductive arguments. A number of researchers …

Examples can play a productive role in the development of conjectures and proofs, but there
is more to learn about what makes example use productive. The example use of …

In this study, we explore teaching practices promoting students' learning to prove in a
context where students work on exploration-requiring proving tasks. In these tasks, the goal …