Agents of Change in Promoting Reflective Abstraction: A Quasi-Experimental, Study on Limits in College Calculus
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 includ...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Hipatia Press
2013-10-01
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| Series: | REDIMAT |
| Online Access: | https://hipatiapress.com/hpjournals/index.php/redimat/article/view/467 |
| _version_ | 1811165602289549312 |
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| author | Robert W. Cappetta Alan Zollman |
| author_facet | Robert W. Cappetta Alan Zollman |
| author_sort | Robert W. Cappetta |
| collection | DOAJ |
| description |
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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| first_indexed | 2024-04-10T15:40:19Z |
| format | Article |
| id | doaj.art-d59a2bbc36874b5582944b0da1d54da1 |
| institution | Directory Open Access Journal |
| issn | 2014-3621 |
| language | English |
| last_indexed | 2024-04-10T15:40:19Z |
| publishDate | 2013-10-01 |
| publisher | Hipatia Press |
| record_format | Article |
| series | REDIMAT |
| spelling | doaj.art-d59a2bbc36874b5582944b0da1d54da12023-02-12T12:55:18ZengHipatia PressREDIMAT2014-36212013-10-012310.4471/redimat.2013.35Agents of Change in Promoting Reflective Abstraction: A Quasi-Experimental, Study on Limits in College CalculusRobert W. Cappetta0Alan Zollman1College of DuPageNorthern Illinois University 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. https://hipatiapress.com/hpjournals/index.php/redimat/article/view/467 |
| spellingShingle | Robert W. Cappetta Alan Zollman Agents of Change in Promoting Reflective Abstraction: A Quasi-Experimental, Study on Limits in College Calculus REDIMAT |
| title | Agents of Change in Promoting Reflective Abstraction: A Quasi-Experimental, Study on Limits in College Calculus |
| title_full | Agents of Change in Promoting Reflective Abstraction: A Quasi-Experimental, Study on Limits in College Calculus |
| title_fullStr | Agents of Change in Promoting Reflective Abstraction: A Quasi-Experimental, Study on Limits in College Calculus |
| title_full_unstemmed | Agents of Change in Promoting Reflective Abstraction: A Quasi-Experimental, Study on Limits in College Calculus |
| title_short | Agents of Change in Promoting Reflective Abstraction: A Quasi-Experimental, Study on Limits in College Calculus |
| title_sort | agents of change in promoting reflective abstraction a quasi experimental study on limits in college calculus |
| url | https://hipatiapress.com/hpjournals/index.php/redimat/article/view/467 |
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