‘대칭성’ 관점에서 본 ‘문제해결’ 및 ‘군’ 개념지도

• 영문명: Problem solving and teaching 'group concept' from the point of symmetry
• 발행기관: 대한수학교육학회
• 저자명: 남진영 박선용
• 간행물 정보: 『수학교육학연구』제12권 4호, 509~521쪽, 전체 13쪽
• 주제분류: 사회과학 > 교육학
• 파일형태: PDF
• 발행일자: 2002.11.30

영문 초록

The purpose of this paper is as follows: ⓐ to disclose the essence of symmetry ⓑ to propose the desirable strategy of problem-solving as to symmetry ⓒ to clarify the relationship between symmetry and group ⓓ to propose a way of introduction of 'group' in school mathematics according to its fund-amental characteristic, symmetry. This study shows that the nature of symmetry is 'invariance under a transfo-rmation' and symmetry is the main idea of 'group'. In mathematics textbooks and mathematics education literature, we find out that the logic of symmetry is widespread. We illustrate two paradigmatic problem related to symmetrical logic and exemplify a desirable instruction of Pascal's triangle. This study also suggests a possibility of developing students' unformal and uncon-scious conception of group with sym metry idea from elementary to secondary school mathematics.

목차

Ⅰ. 서론

Ⅱ. 대칭성의 정의

Ⅲ. 학교수학에서의 ‘대칭논리’를 이용한 문제해결

Ⅳ. ‘군’의 기본아이디어로서의 ‘대칭성’

Ⅴ. 요약

참고문헌

키워드

대칭성 문제해결 군 symmetry problem solving group