분류의 관점에서 초등수학 평면도형 고찰 = A Study on the Plane Figure of Elementary School Mathematics in the View of Classification

다국어 초록 (Multilingual Abstract)

In this article, we investigated plane figures introduced in elementary school mathematics in the perspective of traditional classification, and also analyzed plane figures focused on the invariance of plane figures out of traditional classification. In the view of traditional classification, how to treat trapezoids was a key argument. In the current mathematics curriculum of the elementary school mathematics, the concept of sliding, flipping, and turning are introduced as part of development activities of spatial sense, but it is rare to apply them directly to figures. For example, how are squares and rectangles different in terms of symmetry? One of the main purposes of geometry learning is the classification of figures. Thus, the activity of classifying plane figures from a symmetrical point of view has sufficiently educational significance from Klein's point of view.

참고문헌 (Reference)

1 이성미, "초등학생들의 공간감각 이해능력 실태조사" 한국수학교육학회 46 (46): 273-292, 2007

2 조영선, "초등학생들의 공간 감각 실태 조사-4,5,6학년을 중심으로-" 한국초등수학교육학회 16 (16): 359-388, 2012

3 이종영, "초등학교에서 지도하는 공간감각 내용에 관한 고찰" 대한수학교육학회 7 (7): 269-286, 2005

4 정영옥, "초등학교 수학에서 공간 방향에 대한 교육과정과 교과서 비교" 대한수학교육학회 19 (19): 663-690, 2017

5 김유경, "초등학교 6학년 학생들의 공간감각과 공간추론능력 실태조사" 대한수학교육학회 9 (9): 353-373, 2007

6 Baroody, "수학의 힘을길러주자. 왜? 어떻게?" 경문사 2005

7 우정호, "수학 학습-지도 원리와 방법" 서울대학교 출판부 2006

8 교육부, "수학 4-2" ㈜천재교육 2018

9 박상욱, "미국 초등학교 수학 교과서『Everyday Mathematics』의 확률 영역 분석" 한국초등수학교육학회 18 (18): 475-492, 2014

10 하혜진, "대칭성을 이용한 사각형 학습지도 방안 연구" 서울대학교 대학원 교육학 2018

11 DeLanda, M., "강도의 과학과 잠재성의 철학" 그린비 2009

12 Mainzer, K., "Symmetry And Complexity: The Spirit and Beauty of Nonlinear Science" World Scientific 2005

13 Weyl, H., "Symmetry" Princeton University Press 1969

14 Del Grande, J. J., "Spatial sense" 37 : 14-20, 1990

15 Harris, L. J., "Spatial representation and behavior across the life span" AcademicPress 83-125, 1981

16 Tartre, L. A., "Spatial orientation skill and mathematics problem solving" 21 (21): 216-229, 1990

17 Bishop, A. J., "Spatial abilities and mathematics education-A review" 11 : 257-269, 1980

18 National Council of Teachers of Mathematics, "Principal and standards for school mathematics"

19 Clements, D. H., "Mathematics in the Early Years" National Council of Teachers of Mathematics 66-79, 1999

20 Hershkowitz, R., "Mathematics and Cognition" University Press 70-95, 1990

21 McGee, M. G., "Human spatial abilities : Psychometric studies and environmental, genetic, hormonal, and neurological influences" 86 (86): 889-918, 1979

22 Maletsky, Evan M, "Harcourt Math (Math-Grade 4)" Harcourt, Inc 2002

23 Clements, D. H., "Handbook of research on mathematics teaching and learning" Macmillan Publishing 420-464, 1992

24 Kennedy, L. M, "Guiding children's learning of mathematics" Wadsworth 2004

25 Lockwood, E. H., "Geometric Symmetry" Cambridge Press 1978

26 National Council of Teachers of Mathematics, "Curriculum and evaluation standards for school mathematics"

27 Gutiérez, A., "Children's ability for using different plane representations of space figures" 33-42, 1996

28 Klein, F., "A comparative review of recent researches in geometry"