Facilitating Students’ Problem Solving in a Technological Context: Prospective Teachers’ Learning Trajectory
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- 作者：Hollylynne Stohl Lee
- 关键词：case study ; mathematics teacher development ; pre ; service teacher education ; problem solving ; prospective teachers ; teacher roles ; technology
- 刊名：Journal of Mathematics Teacher Education
- 出版时间：June 2005
- 出版年：2005
- 期刊代码：76_13864416
- 类别：med
- 卷：8
- 期：3
- 页码：223-254
- 数据来源：sp
摘要
In the past decade, there has been an increased emphasis on the preparation of teachers who can effectively engage students in meaningful mathematics with technology tools. This study presents a closer look at how three prospective teachers interpreted and developed in their role of facilitating students’ mathematical problem solving with a technology tool. A cycle of planning–experience–reflection was repeated twice during an undergraduate course to allow the prospective teachers to change their strategies when working with two different groups of students. Case study methods were used to identify and analyze critical events that occurred throughout the different phases of the study and how these events may have influenced the prospective teachers’ work with students. Looking across the cases, several themes emerged. The prospective teachers (1) used their problem solving approaches to influence their pedagogical decisions; (2) desired to ask questions that would guide students in their solution strategies; (3) recognized their own struggle in facilitating students’ problem solving and focused on improving their interactions with students; (4) assumed the role of an explainer for some portion of their work with students; (5) used technological representations to promote students’ mathematical thinking or focus their attention; and (6) used the technology tools in ways consistent with the nature of their interactions and perceived role with students. The implications inform the development of an expanded learning trajectory for what we might expect as prospective teachers develop an understanding of how to teach mathematics in technology-rich environments.