This report describes a model for mapping cognitive structures related to content knowledge for teaching. The model consists of knowledge elements pertinent to teaching a content domain, the nature of the connections among them, and a means for representing the elements and connections visually. The model is illustrated through empirical data…

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…

Addresses issues related to the ways teachers learn mathematics and the teaching of mathematics, and the relevance of those ways to their professional development. Mathematical experiences need to be congruous with the kind of teaching expected of the reflexive, adaptive teacher. Presents both practical and theoretical considerations of how these…

Discusses what important ideas about forms of knowing mathematics should be included in mathematics methods courses for preservice teachers. Proposes ideas related to Shulman's framework of teacher knowledge. Provides a brief discussion of the implications each idea holds for teaching mathematics, and makes some suggestions about experiences that…

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…

Examines changes in knowledge structures and beliefs related to class management experienced by middle school preservice teachers (n=23). The study charts changes in concerns, skills, and attitudes through the initial, middle, and concluding student teaching stages. A framework of change for class management concepts is reported and influences…

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…