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

DOI Web Site 21 References

Search this article

Abstract

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.

Journal

References(21)*help

See more

Keywords

Details 詳細情報について

Report a problem

Back to top