UNDERSTANDING RELATIONS AMONG CONCEPTS OF GEOMETRIC FIGURES : IDENTIFYING STATES OF UNDERSTANDING

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In this study, four states of understanding relations among concepts of geometric figures in concept formation were identified and their characteristics clarified. In the first State, children are not able to distinguish between two concepts of geometric figures. In the second State, they are able to identify two different concepts. In the third State, they are able to regard these two 'different' concepts as the same based on the similarities between them. Finally, in the fourth State, they are able to understand the inclusion relation between the two concepts on the basis of both their differences and similarities. In particular, the important role the third State plays in promoting the understanding of relations among concepts of geometric figures is clarified. State Three is considered to be pivotal in understanding relations among concepts of figures and essential in achieving State Four, which is characterized by the understanding of inclusion relations, i. e. understanding a geometric figure as a set.

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  • 科学教育研究

    科学教育研究 23 (4), 271-282, 1999

    一般社団法人 日本科学教育学会

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