| Summary: | 碩士 === 國立臺南大學 === 數學教育學系 === 95 === The purposes of this study are twofolds: first, to investigate the sixth grade students'' performance on proportion problem solving; second, to analyze the students'' problem solving strategy by paper-and-pencil test, semi-structured interview, and statistical test. The results of this study are summarized as follows:
1. The result of paired sample t-test indicated that students'' performances were better on solving forward action problems than on backward action ones, besides, the better students performed on solving forward action problems, the better they perform on backward action ones solving.
2. The result of analysis of variance (ANOVA) showed that there existed a significant difference of problem-solving ability between different types of problems. The students'' performance on “classification problem in division and partitive division strategies” was arranged in order of excellence as the following: type I, type II, type III, and type IV.
3. In terms of examinees'' performance on problem-solving, the “one-to-many” strategy would have the highest proportion in the rate of successful problem-solving, followed by the “multiple relation” strategy, the third was “many-to-one” strategy, and the last was “the simplest-integer ratio” strategy.
4. The results of chi-Square tests indicated that there is significant difference in the selection of problem-solving strategies by students with different intelligence. The students of high score group prefer adopt “multiple relation” to solve problem while students of medium and low score group prefer the “one-to-many” strategy.
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