An Exploration of Mathematical Problem-Solving Processes.

Autor/in	Webb, Norman
Titel	An Exploration of Mathematical Problem-Solving Processes.
Quelle	(1975), (20 Seiten) PDF als Volltext kostenfreie Datei Verfügbarkeit
Beigaben	Tabellen
Dokumenttyp	gedruckt; online; Monographie
Schlagwörter	Tagungsbericht; Achievement; Cognitive Processes; Mathematics Education; Problem Solving; Research; Secondary Education; Secondary School Mathematics + Suchen Sie Ihr Suchwort? Performance; Leistung; Cognitive process; Kognitiver Prozess; Mathematische Bildung; Problemlösen; Forschung; Sekundarbereich
Abstract	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)
Anmerkungen	ERIC/SMEAC, The Ohio State University, 400 Lincoln Tower, Columbus, Ohio 43210 (on loan)
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2004/1/01