• Title/Summary/Keyword: 덧셈에 대한 곱셈의 분배법칙

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A Comparative Analysis on the Distributive Property In Korean and Japanese Elementary Textbooks (한국과 일본의 초등교과서에서 다루는 분배법칙 개념에 관한 비교 분석)

  • Byun, Hee-Hyun
    • Journal of Elementary Mathematics Education in Korea
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    • v.15 no.1
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    • pp.39-56
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    • 2011
  • In 7th grade textbooks, the distributive property is generalized as in algebraic forms, and it seems that the students have not so good grip on this property. To get a good stock of knowledge on that generalized property, full understanding of it in concrete context should take precedence. This study would aim to propose some educational implications for better understanding of that property, through analysing the contents of it comparatively in Korean and Japanese elementary textbooks.

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A Comparative Analysis of Instructional Methods on the Properties of Multiplication in Elementary Mathematics Textbooks of Korea, Japan, and the US (한국, 일본, 미국의 초등학교 수학교과서에서 범자연수 곱셈의 연산 성질을 지도하는 방안에 대한 비교·분석)

  • Sunwoo, Jin
    • Education of Primary School Mathematics
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    • v.22 no.3
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    • pp.181-203
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    • 2019
  • Even though the properties of operations in multiplication serve a fundamental basis of conceptual understanding the multiplication with whole numbers for elementary students, there has been lack of research in this field. Given this, the purpose of this study was to analyze instructional methods related to the properties of operations in multiplication (i.e., commutative property of multiplication, associative property of multiplication, distributive property of multiplication over addition) in a series of mathematics textbooks of Korea, Japan, and the US. The overall analysis was conducted in the following two aspects: (a) when and how to deal with the properties of multiplication in three instructional context (i.e., introduction, application, generalization), and (b) what models use to represent the properties of multiplication. The results of this showed that overall similarities in introducing the properties of multiplication .in (one digit) ${\times}$ (one digit) as well as emphasizing the divers representation. However, subtle but meaningful differences were analyzed in applying and generalizing the properties of multiplication. Based on these results, this paper closes with some implications on how to teach the properties of operations in multiplication properties in elementary mathematics.