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An Analysis of the Flow of Mathematical Ideas among Students and Groups in Problem Solving |
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Abstract:
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The flow of mathematical ideas among 17 students working in 3 groups in an open-ended, problem-solving activity over a 14-hour period was analyzed revealing 8 emergent patterns characterized as initial event, interaction, and consequence. We utilize a trace of the development of ideas related to data collection of students engaged in solving a modeling problem to illustrate 4 of these patterns. Factors contributing to the development, retention, or abandonment of currently held ideas, as well as the rejection or acceptance of proposed ideas are considered. |
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idea (87), student (70), tabl (44), mathemat (39), research (28), use (27), group (27), 1 (26), 2 (25), develop (22), spiral (19), problem (18), shelli (17), maher (16), success (15), initi (14), aquisha (14), data (14), work (13), 3 (12), dot (11), |
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Association:
Name: North American Chapter of the International Group for the Psychology of Mathematics Education
URL: http://www.pmena.org
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Citation:
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MLA Citation:
| Sweetman, Timothy. and Maher, Carolyn. "An Analysis of the Flow of Mathematical Ideas among Students and Groups in Problem Solving" Paper presented at the annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Hosted by Virginia Tech University Hotel Roanoke & Conference Center, Roanoke, VA, Oct 20, 2005 <Not Available>. 2009-05-25 <http://www.allacademic.com/meta/p24433_index.html> |
APA Citation:
| Sweetman, T. and Maher, C. , 2005-10-20 "An Analysis of the Flow of Mathematical Ideas among Students and Groups in Problem Solving" Paper presented at the annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Hosted by Virginia Tech University Hotel Roanoke & Conference Center, Roanoke, VA Online <APPLICATION/PDF>. 2009-05-25 from http://www.allacademic.com/meta/p24433_index.html |
Publication Type: Conference Paper/Unpublished Manuscript
Abstract: The flow of mathematical ideas among 17 students working in 3 groups in an open-ended, problem-solving activity over a 14-hour period was analyzed revealing 8 emergent patterns characterized as initial event, interaction, and consequence. We utilize a trace of the development of ideas related to data collection of students engaged in solving a modeling problem to illustrate 4 of these patterns. Factors contributing to the development, retention, or abandonment of currently held ideas, as well as the rejection or acceptance of proposed ideas are considered. |
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8 |
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3708 |
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| AN ANALYSIS OF THE FLOW OF MATHEMATICAL IDEAS AMONG STUDENTS AND GROUPS IN PROBLEM SOLVING Timothy D. Sweetman Carolyn A. Maher Rutgers University Rutgers University timothy.sweetman@usma.edu cmaher@rci.rutgers.edu The flow of mathematical ideas among 17 students working in 3 groups in an open-ended problem-solving activity over a 14-hour period was analyzed revealing 8 emergent patterns characterized as initial event interaction and consequence. We utilize a trace of the development of ideas related to data collection of students engaged in solving |
| the North American Chapter of the International Group for the Psychology of Mathematics Education (Vol. 1 pp 23-43). Snowbird UT. Proceedings of the 27th Annual Meeting of PME-NA Virginia Tech October 2005 8 Speiser B. & Walter C. (2004). Placenticeras: Evolution of a task. Journal of Mathematical Behavior 23 259-269. Steencken E. P. & Maher C. A. (2002). Young children’s growing understanding of fraction ideas. In B. Litwiller & G. Bright (Eds.) 2002 NCTM yearbook: Making sense of fractions |
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