著者

秋田 美代 齋藤 昇

出版者

全国数学教育学会

雑誌

数学教育学研究 : 全国数学教育学会誌 (ISSN:13412620)

巻号頁・発行日

vol.17, no.2, pp.55-63, 2011

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In this paper, we clarify the inhibitory factor of flexible idea in present mathematics instruction. And we propose the problems of making a student's flexible idea. We analyzed the inhibitory factor using an achievement test and a creativity test about the area of the figure. As a result, we found that the learners have functional fixedness in the mathematics problem solving. We call it "Temporary plateau of thinking in problem solving". We made two kinds of problems of breaking out of the "Temporary plateau of thinking in problem solving", problem which put restrictions on the solution and problem which required that many methods should be considered. We compared the usual problem with the problems of breaking out of the "Temporary plateau of thinking in problem solving". The results are as follows. - When compared with the usual problem, the problems of breaking out of the "Temporary plateau of thinking in problem solving" made many flexible ideas. - When compared with the usual problem, the problem which put restrictions on the solution was still difficult for students. - If the teacher gives appropriate teaching, the students can break out the "Temporary plateau of thinking in problem solving".