수학적 추론으로서의 가추법

• 영문명: Abduction As A Mathematical Resoning.
• 발행기관: 대한수학교육학회
• 저자명: 김선희 이종희
• 간행물 정보: 『수학교육학연구』제12권 2호, 275~290쪽, 전체 16쪽
• 주제분류: 사회과학 > 교육학
• 파일형태: PDF
• 발행일자: 2002.05.31

영문 초록

This Study takes Peirce' abduction which is Phenomenology' first reasoning mode, as a part of mathematical reasoning with deduction and induction. Abduction(retroduction, hypothesis, presumption, and originary analogy within induction, but this paper contain analogy in abduction. And metaphors and metonymies are also contained in abduction, in which metaphors are contained in analogy. Metaphors and metonymies are applied to semiosis i.e. the signification of mathematical signs. argument) leads a case through a result and a rule, while deduction leads a result through a rule and a case and induction leads a rule through a case and a result. Polya(1954) involved generalization, specialization, and Semiotic analysis for a student's problem solving showed the semiosis with metaphors and metonimies. Thus, abductions should be regarded as a mathematical reasoning, and we must utilize abductions in mathematical learning since abductions are thought as a natural reasoning by students.

목차

Ⅰ. 서론

Ⅱ. 추론의 종류

Ⅲ. 수학적 추론으로서의 가추법

Ⅳ. 수학 문제 해결에서 은유와 환유

Ⅴ. 요약 및 결론

참고문헌