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silverman-2005-Investigating-the-relationship-between-mathematical-understanding-and-teaching-mathematics217.78 kB
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Conference paper
Investigating the relationship between mathematical understanding and teaching mathematics
The 27th Annual Meeting of PME-NA North American Chapter of the International Group for the Psychology of Mathematics Education
2005
Abstract
In work with pre-service teachers, it became evident that “knowledge of mathematics for teaching,” though valuable, was not “fine-grained” enough to be of use. In this short paper, we will discuss our work that examines what it means for pre-service mathematics teachers to develop mathematics content knowledge for conceptual teaching. Our aim in this investigation was to understand the influence of pre-service teachers’ [PST] particular understandings of mathematics content (as developed by in a university course setting) on their school-based teaching practices. In doing this, we focused first on PSTs’ understandings of mathematics as the primary resource upon which they draw while teaching. The importance of teachers’ knowledge of content has been acknowledged by a variety of scholars (Ball, 1993; Grossman, Wilson, & Shulman, 1989; Schifter, 1990). However, it is axiomatic that a teacher’s knowledge of mathematics alone is insufficient to support his or her attempts to teach for understanding. In that vein, Shulman (1986) coined the phrase pedagogical content knowledge [PCK]. Ma (1999) and Stigler and Hiebert (Stigler & Hiebert, 1999)further refined the idea of PCK by arguing that teachers need a profound understanding of mathematics – knowledge having the characteristics of breadth, depth, and thoroughness.
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Details
- Title
- Investigating the relationship between mathematical understanding and teaching mathematics
- Creators
- Jason Silverman - Drexel University, School of EducationPatrick W. Thompson - Arizona State University
- Publication Details
- The 27th Annual Meeting of PME-NA North American Chapter of the International Group for the Psychology of Mathematics Education
- Conference
- The 27th Annual Meeting of PME-NA North American Chapter of the International Group for the Psychology of Mathematics Education, 27th (Roanoke, Virginia, United States, 20 Oct 2005–23 Oct 2005)
- Publisher
- PME-NA North American Chapter of the International Group for the Psychology of Mathematics Education
- Resource Type
- Conference paper
- Language
- English
- Academic Unit
- School of Education
- Identifiers
- 991022019817804721