증명의 수리철학적 분석과 지도 방향 탐색

• 영문명: The Nature of Proof and the Improvement of Proof Education: In the Perspective on the Philosophy of Mathematics
• 발행기관: 대한수학교육학회
• 저자명: 나귀수
• 간행물 정보: 『수학교육학연구』제8권 1호, 351~364쪽, 전체 14쪽
• 주제분류: 사회과학 > 교육학
• 파일형태: PDF
• 발행일자: 1998.07.31

영문 초록

This thesis analyzes the nature of proof in the perspective on the philosophy of mathematics, such as absolutism, quasi-empiricism and social constructivism. And this thesis searches for the improvement of teaching proof in the light of the result of those analyses of the nature of proof. Through the analyses of the nature of proof in the perspective on the philosophy of mathematics, it is revealed that proof is a dynamic reasoning process unifying the way of analytical thought and the way of synthetical thought, and plays remarkably important roles such as justification, discovery and conviction. Hence we should teach proof as a dynamic reasoning process unifying the way of analytic thought and the way of synthetic thought, avoiding the mistake of dealing with proof as a unilaterally synthetic method. At the same time, we should make students have the needs of proof in a natural way by providing them with the contexts of both justification and discovery simultaneously. Finally, we should introduce the aspect of proof that can be represented as conviction, understanding, explanation and communication to school mathematics.

목차

Ⅰ. 서론

Ⅱ. 절대주의

Ⅲ. 준경험주의

Ⅳ. 사회적 구성주의

Ⅴ. 증명의 지도 방향 탐색

참고 문헌