무한 개념의 이해와 직관의 역할

• 영문명: Understanding of the concept of infinity and the role of intuition
• 발행기관: 대한수학교육학회
• 저자명: 이대현
• 간행물 정보: 『수학교육학연구』제11권 2호, 341~349쪽, 전체 9쪽
• 주제분류: 사회과학 > 교육학
• 파일형태: PDF
• 발행일자: 2001.12.31

영문 초록

Infinity is one of the important concept in mathematics, science, philosophy etc. In history of mathematics, potential infinity concept conflicts with actual infinity concept. Reason that mathematicians refuse actual infinity concept during long period is because that actual infinity concept causes difficulty in our perceptions. This phenomenon is called epistemological obstacle by Brousseau. Potential infinity concept causes difficulty like history of development of infinity concept in mathematics learning. Even though students learn about actual infinity concept, they use potential infinity concept in problem solving process. Therefore, we must make clear epistemological obstacles of infinity concept and must overcome them in learning of infinity concept. For this, it is useful to experience visualization about infinity concept. Also, it is to develop meta-cognition ability that students analyze and control their problem solving process. Conclusively, students must adjust potential infinity concept, and understand actual infinity concept that is defined in formal mathematics system.

목차

Ⅰ. 서론

Ⅱ. 무한의 이론적 개념

Ⅲ. 학생들의 무한 개념의 이해와 직관

Ⅳ. 무한 개념 지도와 직관

Ⅴ. 결론

참고문헌