Our main goal in this study is to exemplify that a meticulous design can lead pre-service teachers to engage in productive unguided peer argumentation. By productivity, we mean here a shift from reasoning based on intuitions to reasoning moved by logical necessity. As a subsidiary goal, we aimed at identifying the kinds of reasoning processes…

This paper reports studies of the interaction between the intuitive, the formal and the procedural aspects in the processes of mathematical understanding of Peter, a first-year undergraduate of Mathematics. Using an activity and an interview, an attempt is made to analyse his mental operations. The way in which he handles visual-graphic…

Clinical supervision is an important aspect of counselor education. Much of traditional supervision is conducted from a logical standpoint; however, some supervisees may be better served when supervisors integrate both logic and creativity. This article presents the integration of creative activities into supervision using Bernard's Discrimination…