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ERIC Number: EJ860365
Record Type: Journal
Publication Date: 2009
Pages: 19
Abstractor: As Provided
Reference Count: 0
ISSN: ISSN-0732-3123
Reinventing the Concepts of Group and Isomorphism: The Case of Jessica and Sandra
Larsen, Sean
Journal of Mathematical Behavior, v28 n2-3 p119-137 Jun-Sep 2009
The purpose of this paper is to describe the process by which a pair of undergraduate students, participating in a teaching experiment, reinvented (with guidance) the concepts of group and isomorphism beginning with an exploration of the symmetries of an equilateral triangle. The intent of this description is to highlight some important insights provided by an analysis of the students' mathematical activity. First, the analysis resulted in the identification of a number of informal student strategies that anticipated the formal concepts. Second, the analysis provided insight into how these strategies could be evoked. Third, the analysis provided insight into how these strategies could be leveraged to support the development of the formal concepts. (Contains 16 figures.)
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A