An Exploration of Mathematical Problem-Solving Processes / Norman Webb.

The problem-solving strategies used by tenth-grade students in the solution of mathematical problems were investigated. Forty students selected from four high schools were given pretests generating sixteen scores related to mathematics achievement, attitude toward mathematics, and other ability meas...

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Bibliographic Details
Main Author: Webb, Norman
Language:English
Published: [Place of publication not identified] : Distributed by ERIC Clearinghouse, 1975.
Subjects:
Genre:
Physical Description:20 pages
Format: Microfilm Book

MARC

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500 |a Educational level discussed: Secondary Education. 
520 |a The problem-solving strategies used by tenth-grade students in the solution of mathematical problems were investigated. Forty students selected from four high schools were given pretests generating sixteen scores related to mathematics achievement, attitude toward mathematics, and other ability measures. These students were then asked to solve eight mathematics problems in individual sessions. Recorded protocols were coded for three types of variables. Pretest and protocol data were submitted to principal components analysis to reduce the number of variables, regression analysis, and two cluster analyses. The best predictor of problem-solving success was found to be mathematics achievement, which accounted for 50 percent of total score variance. A second predictor, heuristic strategy components, accounted for 13 percent. The cluster analyses were performed in order to detect problem-solving modes. The first clustered students according to the frequency of use of certain heuristic strategies. The second grouped students on their willingness to use trial-and-error and equations. Together the analyses indicated that students using a wide range of strategies and techniques were able to solve more problems. (SD) 
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