School Mathematics (대한수학교육학회지:학교수학)
- Volume 7 Issue 2
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- Pages.103-121
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- 2005
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- 1229-4322(pISSN)
Different Approaches of Introducing the Division Algorithm of Fractions: Comparison of Mathematics Textbooks of North Korea, South Korea, China, and Japan
분수 나눗셈 알고리즘 도입 방법 연구: 남북한, 중국, 일본의 초등학교 수학 교과서의 내용 비교를 중심으로
- Yim, Jae-Hoon (Gyeong-In National University of Education) ;
- Kim, Soo-Mi (Gyeong-In National University of Education) ;
- Park, Kyo-Sik (Gyeong-In National University of Education)
- Published : 2005.06.01
Abstract
This article compares and analyzes mathematics textbooks of North Korea, South Korea, China and Japan and draws meaningful ways for introducing the division algorithm of fractions. The analysis is based on the five contexts: 'measurement division', 'determination of a unit rate', 'reduction of the quantities in the same measure', 'division as the inverse of multiplication or Cartesian product', 'analogy with multiplication algorithm of fractions'. The main focus of the analysis is what context is used to introduce the algorithm and how much it can appeal to students. This analysis supports that there is a few differences of introducing methods the division algorithm of fractions among those countries and more meaningful way can be considered than ours. It finally suggests that we teach the algorithm in a way which can have students easily see the reason of multiplying the reciprocal of a divisor when they divide with fractions. For this, we need to teach the meaning of a reciprocal of fraction and consider to use the context of determination of a unit rate.
이 연구에서는 남북한, 중국, 일렬의 초등학교 수학 교과서를 비교