일상적 정의에서 수학적 정의로의 이행 - 영재 중학생들의 점과 선의 정의 인식 -
The Transition from Everyday Definitions to Mathematical Definitions - Gifted Middle School Students' Conceptions of Point and Line definitions-
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This paper analysed gifted middle students’ conception of the definitions of point and line and the uses of definitions in proving. The findings of this paper suggest that the concept of mathematical definitions is very unnatural to students, therefore teachers and textbooks need to explain explicitly the characteristics of mathematical definitions which are different from dictionary definitions using common sense. Also introducing undefined terms in middle school geometry would give students a critical chance to deal with the transition from dictionary definitions to mathematical definitions.
Abstract
This paper analysed gifted middle students’ conception of the definitions of point and line and the uses of definitions in proving. The findings of this paper suggest that the concept of mathematical definitions is very unnatural to students, therefore teachers and textbooks need to explain explicitly the characteristics of mathematical definitions which are different from dictionary definitions using common sense. Also introducing undefined terms in middle school geometry would give students a critical chance to deal with the transition from dictionary definitions to mathematical definitions.
참고문헌 (24)
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