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http://dx.doi.org/10.7468/jksmec.2019.22.2.113

Justifying the Fraction Division Algorithm in Mathematics of the Elementary School  

Park, Jungkyu (Irimahan Elementary School)
Lee, Kwangho (Korea National University of Education)
Sung, Chang-geun (Yeung-chun Elementarh School)
Publication Information
Education of Primary School Mathematics / v.22, no.2, 2019 , pp. 113-127 More about this Journal
Abstract
The purpose of this study is to justify the fraction division algorithm in elementary mathematics by applying the definition of natural number division to fraction division. First, we studied the contents which need to be taken into consideration in teaching fraction division in elementary mathematics and suggested the criteria. Based on this research, we examined whether the previous methods which are used to derive the standard algorithm are appropriate for the course of introducing the fraction division. Next, we defined division in fraction and suggested the unit-circle partition model and the square partition model which can visualize the definition. Finally, we confirmed that the standard algorithm of fraction division in both partition and measurement is naturally derived through these models.
Keywords
fraction division; method of unit rate; building block; unit-circle partition; square partition;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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