유클리드 평면도형의 합동 지도 방안에 대하여 = A Method of Intuitive Instruction on Congruence in Euclidean Plane Geometry

다국어 초록 (Multilingual Abstract)

Mathematical activity consits of not merely agreeing with what others had done but trying to find something unknown to us. In the process, we use trial-error method, inductive metod, visual representation, etc. Our intuition usually recognize possible mathematical truths before their formalization. Therefore mathematics education have to focus on developing intuitive thinking in mathematical discovery.
secondary school students may learn mathematical proofs, but many of them do not really understand what the mathematical proofs mean. Logical cognition persuade them to accept the generality of a proof, but their lack of intuitive undestanding of the entire structure prevents them from accepting the general truth of the proof. When we teach proofs, the required method must confer the strength and the universality of a belief on the formal conviction derived from the proof without destroying the sense, the conceptual legitimacy of the proof itself.
Finaly, we present a model of intuitive teaching method for secondary school teachers on the congruence theorems in plane Euclidean geometry.

목차 (Table of Contents)

• Ⅰ. 서론
• Ⅱ. 본론
• A. 기하교육에서 직관의 역할
• 1. 수학적 발견과 직관
• 2. 기하 증명에서 직관의 역할
• B. 유클리드 평면도형의 합동 지도 방안
• 1. 합동변환의 지도에 관하여
• 2. 삼각형의 합동조건 SSS에 대하여
• Ⅲ. 결론