前形式的 證明의 意味와 敎授學的 意義에 關한 硏究

• 영문명: A Study on the meaning of preformal proof and its didactical significance
• 발행기관: 대한수학교육학회
• 저자명: 류성림
• 간행물 정보: 『수학교육학연구』제8권 1호, 313~326쪽, 전체 14쪽
• 주제분류: 사회과학 > 교육학
• 파일형태: PDF
• 발행일자: 1998.07.31

영문 초록

The purpose of this study is to verify the meaning of preformal proof and its didactical significance in mathematics education. A preformal proof plays a more important role in mathematics education, because nowadays in mathematics a proof is considered as an important fact from a sociological point of view. A preformal proof was classified into four categories: a) action proof, b) geometric-intuitive proof, c) reality oriented proof, d) proof by generalization from paradigm. An educational significance of a preformal proof are followings: a) A proof is not identified with a formal proof. b) A proof is not only considered from a symbolic level, but also from enactive and iconic level. c) A preformal proof generates a formal proof and convinces pupils of a formal proof. d) A preformal proof is psychologically natural. e) A preformal proof changes a conception of what is a proof. Therefore a preformal proof is expected to teach in school mathematics from the elementary school to the secondary school.

목차

Ⅰ. 서론

Ⅱ. 증명에 대한 사회학적 견해

Ⅲ. 전형식적 증명의 의미

Ⅳ. 전형식적 증명의 교수학적 의의

Ⅴ. 결론

참고 문헌