중학교 기하의 증명 지도에 관한 소고

• 영문명: A Study on the Proof Education in the Middle School Geometry: Focused on the Theory of van Hiele and Freudenthal
• 발행기관: 대한수학교육학회
• 저자명: 나귀수
• 간행물 정보: 『수학교육학연구』제8권 1호, 291~298쪽, 전체 8쪽
• 주제분류: 사회과학 > 교육학
• 파일형태: PDF
• 발행일자: 1998.07.31

영문 초록

This study deals with the problem of proof education in the middle school geometry by examining van Hiele's geometric thought level theory and Freudenthal's mathematization teaching theory. The implications that have been revealed by examining the theory of van Hiele and Freudenthal are as follows. First of all, the proof education at present that follows the order of 'definition-theorem-proof' should be reconsidered. This order of proof-teaching may have the danger that fix the proof education poorly and formally by imposing the ready-made mathematics as the mere record of proof on students rather than suggesting the proof as the real thought activity. Hence we should encourage students in reinventing 'proving' as the means of organization and mathematization. Second, proof-learning can not start by introducing the term of proof only. We should recognize proof-learning as a gradual process which forms with understanding the meaning of proof on the basis of the various activities, such as observation of geometric figures, analysis of the properties of geometric figures and construction of the relationship among those properties. Moreover students should be given this natural ground of proof.

목차

Ⅰ. 들어가며

Ⅱ. van Hiele의 기하 사고 수준 이론

Ⅲ. Freudenthal의 수학화 지도론

Ⅳ. 맺으며

참고 문헌