The Mathematical Education (한국수학교육학회지시리즈A:수학교육)
- Volume 45 Issue 1 Serial No. 112
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- Pages.123-138
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- 2006
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- 1225-1380(pISSN)
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- 2287-9633(eISSN)
A Structural Isomorphism between Problems Counting the Number of Combinations
조합문제 사이의 구조적 동형
- Lee Ju-Young (Dept. of Math. Education, Seoul National University) ;
- Kim Suh-Ryung (Dept. of Math. Education, Seoul National University) ;
- Park Hye-Sook (Dept. of Math. Education, Seowon University) ;
- Kim Wan-Soon (Dept. of Math., Hoseo University)
- Published : 2006.02.01
Abstract
In this paper, we confirm through surveys and interviews that it helps students in solving a problem counting the number of combinations to find a structural isomorphism between the given problem and a typical problem with the same mathematical structure. Then we suggest that a problem of distributing balls into boxes might be a good candidate for a typical problem. This approach is coherent to the viewpoint given by English(2004) that it is educationally important to see the connection and relationship between problems with different context but with similar mathematical structure.