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ERIC Number: EJ1112269
Record Type: Journal
Publication Date: 2013-Oct
Pages: 17
Abstractor: As Provided
ISSN: EISSN-2014-3621
Agents of Change in Promoting Reflective Abstraction: A Quasi-Experimental, Study on Limits in College Calculus
Cappetta, Robert W.; Zollman, Alan
REDIMAT - Journal of Research in Mathematics Education, v2 n3 p343-357 Oct 2013
We measured student performance on the concept of limit by promoting reflection through four agents of change: instructor, peer, curriculum and individual. It is based on Piaget's four constructs of reflective abstraction: interiorization, coordination, encapsulation, and generalization, and includes the notion of reversal, as refined into a construct by Dubinsky. Our quasi-experimental study examined the performance of two sections of first-semester calculus students at a midwestern community college. Scores by students in the experimental section were significantly higher than scores by students in the control traditional section on a posttest of limits. A deeper examination of a three-tiered subgroup showed the reflective abstraction section had moderate effect size on mathematical knowledge and strategic knowledge and a large effect size on explanation.
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Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education; Postsecondary Education; Two Year Colleges
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Illinois
Grant or Contract Numbers: N/A