Mathematics discussions are important for helping students to develop conceptual understanding and to learn disciplinary norms and practices. In recent years, there has been increased attention to teaching prospective teachers to lead discussions with students. This paper examines the possibilities of designing a formative assessment that gathers…

Refocusing teacher preparation on the practice of teaching calls for new and different knowledge and skill. We describe the types of knowledge and skill that teacher educators need in order to teach a practice-focused mathematics methods course and report on one program's exploration of possible supports to develop this knowledge in teacher…

This paper examines the possibilities of using standardized assessments to assess elementary and secondary novice teachers' skills with leading problem-based mathematics discussion. The findings reveal that our standardized assessments were able to elicit and reveal variations in skills across teachers; provide fine-grained detail about the…

In this article, the authors argue for making practice the core of teachers' professional preparation. They set the argument for teaching practice against the contemporary backdrop of a teacher education curriculum that is often centered not on the tasks and activities of teaching but on beliefs and knowledge, on orientations and commitments, and…

This study illuminates claims that teachers' mathematical knowledge plays an important role in their teaching of this subject matter. In particular, we focus on teachers' mathematical knowledge for teaching (MKT), which includes both the mathematical knowledge that is common to individuals working in diverse professions and the mathematical…

Proposes three problems that must be solved in order to best prepare teachers who both know content and can make use of it to help all students learn, including: identifying the content knowledge that matters for teaching; understanding how such knowledge needs to be held; and determining what it takes to learn to use such knowledge in practice.…

This research report offers a theoretical frame for examining recent instructional improvement efforts. First, it develops a theoretical view of instruction and an analysis of the environments of instruction. It analyzes the relations between instruction and its environments and the circumstances under which intervenors must operate. The report…

Describes curricular standards that concern teachers and teacher educators. Argues that reforms are based on changing images of good teaching, aimed at undetermined and uncertain aspects of teaching, and that little theory exists concerning how new teachers learn to teach. Proposes several areas of investigation as teacher education programs are…