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ERIC Number: EJ951168
Record Type: Journal
Publication Date: 2012-Mar
Pages: 12
Abstractor: As Provided
Reference Count: 0
ISBN: N/A
ISSN: ISSN-0732-3123
Students' Images of Problem Contexts when Solving Applied Problems
Moore, Kevin C.; Carlson, Marilyn P.
Journal of Mathematical Behavior, v31 n1 p48-59 Mar 2012
This article reports findings from an investigation of precalculus students' approaches to solving novel problems. We characterize the images that students constructed during their solution attempts and describe the degree to which they were successful in imagining how the quantities in a problem's context change together. Our analyses revealed that students who mentally constructed a robust structure of the related quantities were able to produce meaningful and correct solutions. In contrast, students who provided incorrect solutions consistently constructed an image of the problem's context that was misaligned with the intent of the problem. We also observed that students who caught errors in their solutions did so by refining their image of how the quantities in a problem's context are related. These findings suggest that it is critical that students first engage in mental activity to visualize a situation and construct relevant quantitative relationships prior to determining formulas or graphs. (Contains 7 tables and 3 figures.)
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Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A