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 paper recognizes current interest in "the practical," particularly in research on teaching, and it explores similarities or distinctions between underlying conceptions of the practical across several programs, research projects, and scholarly reflections on teaching. Following an introduction, the paper reviews three research…

Explores high school students' and preservice teachers' knowledge of light, vision, and related topics before and after commonly practiced instruction. Suggests a hierarchical structure to represent the collective conceptual knowledge of students and teachers in terms of facets and schemes of knowledge. Makes suggestions for designing instruction…

This study examined the subject-pedagogical content knowledge transformation process associated with middle school physical education teachers' curricular decision making. Findings indicated that teachers shared a common subject content knowledge base but demonstrated personalized pedagogical content knowledge repertoires. Classroom curriculum was…

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…