확률 영역에서의 독립성, 그 직관적 개념과 형식적 정의의 갈등
Independence in probability, The conflicts between its intuitive concept and formal definition
0
조회
0
다운로드
4
인용
0
참고문헌
키워드
초록
In highschool probability education, this study analyzed conflicts between intuitive concept and formal definition which originates from the process of establishing the concept of statistical independence. In judging independence, completely different types of problems requiring their own approach was analyzed by dividing them into two types. By doing so, this study researched a way to view independence as an overall idea. That is purposed to suggest a solution to a conflicts between intuitive concept and formal definition and to help not to judge independence out of wrong intuition. This study also suggests that calculation process which leads to precise perception of sample space and event be provided when we prove independence by expressing events with assembly symbols.
Abstract
In highschool probability education, this study analyzed conflicts between intuitive concept and formal definition which originates from the process of establishing the concept of statistical independence. In judging independence, completely different types of problems requiring their own approach was analyzed by dividing them into two types. By doing so, this study researched a way to view independence as an overall idea. That is purposed to suggest a solution to a conflicts between intuitive concept and formal definition and to help not to judge independence out of wrong intuition. This study also suggests that calculation process which leads to precise perception of sample space and event be provided when we prove independence by expressing events with assembly symbols.
참고문헌 (20)
- 강행고, "중학교 수학 8-나" (2001), (주)중앙교육진흥연구소
- 고등학교 확률과 통계, "김원경", 교육인적자원부, ~ (2003)
- 고등학교 확률과 통계 교사용 지도서, "김원경", 교육인적자원부, ~ (2003)
- 김종우, "확률론 입문" (1987), 영지문화사
- 우정호, "학교수학의 교육적 기초" (1998), 서울대학교 출판부
- 이정연, "조건부확률 개념의 이해에 관한 연구", 석사, pp.2006
- 임재훈, "고등학교 수학I" (2002), (주)두산
- 최기현, "확률론의 이해" (2001), 자유아카데미
- Beth, E.W., "Mathematical Epistemology and Psychology" (1966), Reidel
- Batanero, C., "The Nature Of Chance And Probability;;Exploring probability in school : Challenges for teaching and learning", pp.15~37 (2005), Springer
- Fischbein, E., "Intuition in science and mathematics : an educational approach" (1987), Reidel
- Freudenthal, H., "Mathematics as an Educational Task" (1973), D Reidel Publishing Company
- Hardy, G.H., "A Mathematician's Apology" (1940), University of Alberta Mathematical Sciences Society
- Hadamard, J., "An Essay on the Psychology of Invention in the Mathematical Field" (1949), Princeton University Press
- Kant, I., "Critique of Pure Reason" (1980), The Macmillan Press Ltd.
- Kolomogorov. A.N., "Theory of Probability" (1956), Chelsea Publishing Company
- Reuchlin, M., "Formalisation et realisation dans la pansee naturelle: une hypothese", Journal de Psychologie Mormale et Pathologique, 4, pp.379~408 (1973)
- Steinbring. H., "The Theoretical Nature of Probability in the Classroom;Chance Encounters : Probability in Education", pp.135~167 (1991), Kluwer Acadeie Publisher
- Wild, K.W., "Intuition" (1938), At the University Press
- Batanero, C., "Intuitive strategies and preconceptions about association in contingency tables", Journal for Research in Mathematics Education, 27(2), pp.151~169 (1996)