Exploring the Episodic Structure of Algebra Story Problem Solving. Revised [microform] / Hall Rogers and Others
- Bib ID:
- 5503193
- Format:
- Book and Microform
- Author:
- Hall Rogers
- Online Version:
- https://eric.ed.gov/?id=ED306093
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- Description:
-
- [Washington, D.C.] : Distributed by ERIC Clearinghouse, 1988
- 95 p.
- Summary:
-
This paper analyzes the quantitative and situational structure of algebra story problems, uses these materials to propose an interpretive framework for written problem soving protocols, and then presents an exploratory study of the episodic structure of algebra story problem solving in a sizable group of mathematically competent subjects. Analyses of written protocols compare the strategic, tactical, and conceptual content of solution attempts, looking within these attempts at the interplay between problem comprehension and solution. Comprehension and solution of algebra story problems are complimentary activities, giving rise to a succession of problem solving episodes. While direct algebraic problem solving is sometimes effective, results suggest that the algebraic formalism may be of little help in comprehending the quantitative constraints posed in a problem text. Instead, competent problem solvers often reason within the situational context presented by a story problem, using various forms of "model-based reasoning" to identify, pursue, and verify quantitative constraints required for solution. The paper concludes by discussing the implications of these findings for acquiring mathematical concepts (e.g., related linear functions) and for supporting their acquisition through instruction. (Author)
- Notes:
-
- Sponsoring Agency: Office of Naval Research, Arlington, VA. Personnel and Training Research Programs Office.
- Contract Number: N00014-85-K-0373.
- ERIC Note: Small print may not reproduce well.
- Researchers.
- Teachers.
- Practitioners.
- May also be available online. Address as at 14/8/18: https://eric.ed.gov/
- Reproduction:
- Microfiche. [Washington D.C.]: ERIC Clearinghouse microfiches : positive.
- Subject:
- Other authors/contributors:
- California Univ., Irvine. Dept. of Information and Computer Science
- Available From:
- ERIC
- Copyright:
-
In Copyright
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Copyright status was determined using the following information:
- Material type:
- Literary Dramatic Musical
- Published status:
- Published
- Publication date:
- 1988
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