Factors contributing to mathematical problem-solving performance: An exploratory study |
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| Authors: | Nina Kay Buchanan |
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| Institution: | (1) Teacher Education Department, School of Education, California State College, 9001 Stockdale Highway, 93311-1099 Bakersfield, California, U.S.A. |
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| Abstract: | This paper describes differences in mathematical problem-solving performance of third-grade gifted and fifth-grade average students observed during an eight week period. Results indicated that such factors as attitude, motivation, and belief systems were important to performance. In addition there were major differences in problem-solving behavior between the girls and boys in this study. Because these results were incidental to the original questions of the study (Buchanan, 1984), they were deemed especially significant. Four groups, one of third-grade gifted boys, one of third-grade gifted girls, one of average boys and one of fifth-grade average girls met with the experimenter twice a week for eight weeks to solve a variety of mathematical problems. In the global analysis of video tapes of all sessions and post hoc statistical analysis of selected quantifiable variables, differences in problem-solving performance were best described in terms of motivation, beliefs about mathematics, problem-solving strategies, and means of achieving satisfaction. In addition, the girls' groups were more ego-involved and social; they completed fewer problems and had longer solution times than the boys' groups. Further holistic research is needed to describe the complex interaction that occurs during mathematical problem solving in group situations. Then, appropriate intervention might be designed to assure that both boys and girls have an opportunity to perform at optimum levels. |
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