Many pre-service teachers enter teacher education with problematic or unexamined assumptions about learners and teaching. This article reports on an authentic learning opportunity offered to 22 pre-service teachers in their first year at university, which attempts to disrupt these perceptions about learning and pedagogy. Using a new application of…

This study explored preservice teachers' (n = 25) knowledge structures and their mastery of content knowledge in relation to their ability to diagnose the strengths and weaknesses of a fourth grader's videotaped explanations of a scientific phenomenon, i.e., molecular kinetic properties of air. Participants' knowledge structures were analyzed…

This paper addresses the evidence that secondary school students use to imply that they understand something in mathematics. As part of a larger study, an open-ended questionnaire probing several aspects of metacognitive self-knowledge, was administered to students (N=72) in four schools. Two previously identified types of understanding were…

This paper describes the actions of one secondary school mathematics teacher in establishing a community of mathematical practice within which students acquire not only knowledge and skills, but also the epistemological values of mathematics. Classroom observations over a period of 18 months, together with interview and questionnaire data, are…

Elementary school teacher candidates typically enter their professional training with deficiencies in their conceptual understanding of the topics of elementary school mathematics and with a reliance upon procedural (algorithmic) approaches to the solutions of mathematical problems. If elementary school teacher candidates are expected to teach…