ERIC Number: EJ748141
Record Type: Journal
Publication Date: 2006-May
Pages: 22
Abstractor: Author
Reference Count: 0
ISBN: N/A
ISSN: ISSN-0013-1954
Examining the Tasks of Teaching when Using Students' Mathematical Thinking
Doerr, Helen M.
Educational Studies in Mathematics, v62 n1 p3-24 May 2006
Recent research suggests that the examination of students' work may lead to changes in teaching practice that are more effective in terms of students' mathematical learning. However, the link between the examination of students' work and the teachers' actions in the classroom is largely unexamined, particularly at the secondary level. In this paper, I present the results of a study in which teachers had extensive opportunities to examine the development of students' conceptual models of exponential growth in the context of their own classrooms. I describe two related aspects of the practice of one teacher: (a) how she listened to students' alternative solution strategies and (b) how she responded to these strategies in her practice. The results of the analysis suggest that as the teacher listened to her students, she developed a sophisticated schema for understanding the diversity of student thinking. The actions of the teacher supported extensive student engagement with the task and led the students to revise and refine their own mathematical thinking. This latter action reflects a significant shift in classroom practice from the role of the teacher as evaluator of student ideas to the role of students as self-evaluators of their emerging ideas.
Descriptors: Teaching Methods, Students, Teacher Attitudes, Learning, Teacher Role, Student Role, Cognitive Processes, Models, Secondary Education
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers: N/A

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