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ERIC Number: EJ785366
Record Type: Journal
Publication Date: 2008-Mar
Pages: 12
Abstractor: Author
Reference Count: 0
ISBN: N/A
ISSN: ISSN-0013-1954
Proofs and Refutations in the Undergraduate Mathematics Classroom
Larsen, Sean; Zandieh, Michelle
Educational Studies in Mathematics, v67 n3 p205-216 Mar 2008
In his 1976 book, "Proofs and Refutations," Lakatos presents a collection of case studies to illustrate methods of mathematical discovery in the history of mathematics. In this paper, we reframe these methods in ways that we have found make them more amenable for use as a framework for research on learning and teaching mathematics. We present an episode from an undergraduate abstract algebra classroom to illustrate the guided reinvention of mathematics through processes that strongly parallel those described by Lakatos. Our analysis suggests that the constructs described by Lakatos can provide a useful framework for making sense of the mathematical activity in classrooms where students are actively engaged in the development of mathematical ideas and provide design heuristics for instructional approaches that support the learning of mathematics through the process of guided reinvention.
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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