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ERIC Number: ED106148
Record Type: RIE
Publication Date: 1975-Apr
Pages: 20
Abstractor: N/A
Reference Count: 0
An Exploration of Mathematical Problem-Solving Processes.
Webb, Norman
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)
ERIC/SMEAC, The Ohio State University, 400 Lincoln Tower, Columbus, Ohio 43210 (on loan)
Publication Type: Speeches/Meeting Papers
Education Level: N/A
Audience: N/A
Language: N/A
Sponsor: N/A
Authoring Institution: N/A
Note: Paper presented at the annual meeting of the American Educational Research Association (Washington, D.C., March 30 - April 3, 1975). Not available in hardcopy due to quality of print