数学的類似性の認知に基づく数学的概念の構成

概要

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Similarity recognition is familiar in everyday life and everyone has the ability to recognize the similarity. But we don't make use of it in mathematical lessons. In this paper, we stated the relation of similarity recognition with understanding of mathematical knowledge and fostering of problem solving ability and mathematical thinking in the first place. According to the psychological research, commonalities and differences affect the recognition of similarity and there are two types of differences: those connected to the commonalities (called alignable differences) and those not connected to the commonalities (called nonaliginable differences). We indicated that it is important for mathematics learning to recognize the alignable differences as similarity. Under such consideration, we proposed comparison lesson for making children construct the mathematical concepts. It is the lesson which children construct the mathematical concepts by recognizing the similarity in comparison pairs. We practiced some comparison lessons that were formed by 1-pair, 2-pairs and 3-pairs comparison. It has been shown by these comparison lessons that 2-pairs comparison is more effective for the construction of mathematical concepts. But it has been shown also that it is not so easy for children to recognize the similarity in 2-pairs comparison. So, we considered some reasons for it.
全国数学教育学会の論文