The Mathematical Education (한국수학교육학회지시리즈A:수학교육)
- Volume 47 Issue 3
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- Pages.373-386
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- 2008
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- 1225-1380(pISSN)
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- 2287-9633(eISSN)
Independence in probability, The conflicts between its intuitive concept and formal definition
확률 영역에서의 독립성, 그 직관적 개념과 형식적 정의의 갈등
- Cho, Cha-Mi (Dept. of Mathematics Education, Chonnam University Graduate School) ;
- Park, Jong-Youll (Dept. of Mathematics Education, Chonnam University)
- Published : 2008.08.31
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.
Keywords