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한국수학교육학회> C-초등수학교육> CCSSM-CA와 미국 교과서에 제시된 분수의 연산 내용 분석

KCI등재

CCSSM-CA와 미국 교과서에 제시된 분수의 연산 내용 분석

An Analysis on the Contents of Fractional Operations in CCSSM-CA and its Textbooks

이대현 ( Lee Dae Hyun )
  • : 한국수학교육학회
  • : C-초등수학교육 22권2호
  • : 연속간행물
  • : 2019년 04월
  • : 129-147(19pages)
C-초등수학교육

DOI


목차

I. 서론
Ⅱ. 분수 연산에 대한 이론적 탐색
Ⅲ. 연구 대상 및 방법
Ⅳ. 분석 결과
Ⅴ. 결론
참 고 문 헌

키워드 보기


초록 보기

본 연구에서는 CCSSM-CA와 그에 따른 미국 초등 교과서에 제시된 분수의 연산 내용을 분석하였다. 분석 결과, 분수를 단위분수나 분모가 같은 분수의 합으로 표현하게 하여 분수 개념과 연산을 연결 짓는 특징이 있었다. 또 분수의 곱셈에서는 곱하는 한 수의 크기에 기초하여 다른 수의 곱의 결과를 비교하도록 하거나, 나눗셈에서는 단위 분수가 포함된 나눗셈을 먼저 다루고, 다양한 방법으로 계산을 하도록 제시하는 특징 등이 있었다.
Because of the various concepts and meanings of fractions and the difficulty of learning, studies to improve the teaching methods of fraction have been carried out. Particularly, because there are various methods of teaching depending on the type of fractions or the models or methods used for problem solving in fraction operations, many researches have been implemented. In this study, I analyzed the fractional operations of CCSSM-CA and its U.S. textbooks. It was CCSSM-CA revised and presented in California and the textbooks of Houghton Mifflin Harcourt Publishing Co., which reflect the content and direction of CCSSM-CA.
As a result of the analysis, although the grades presented in CCSSM-CA and Korean textbooks were consistent in the addition and subtraction of fractions, there are the features of expressing fractions by the sum of fractions with the same denominator or unit fraction and the evaluation of the appropriateness of the answer. In the multiplication and division of fractions, there is a difference in the presentation according to the grades. There are the features of the comparison the results of products based on the number of factor, presenting the division including the unit fractions at first, and suggesting the solving of division problems using various ways.

UCI(KEPA)

I410-ECN-0102-2019-300-001407169

간행물정보

  • : 사회과학분야  > 교육
  • : KCI등재
  • :
  • : 계간
  • : 1226-6914
  • : 2287-9927
  • : 학술지
  • : 연속간행물
  • : 1997-2021
  • : 348


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3경과시간 수업에서 제공되는 학습기회 분석: 양적 대상화를 중심으로

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발행기관 : 한국수학교육학회 간행물 : C-초등수학교육 24권 4호 발행 연도 : 2021 페이지 : pp. 203-216 (14 pages)

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4EBSmath를 활용한 거꾸로 수업이 수학 학습과 수학적 성향에 미치는 영향

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The purpose of this study was to investigate the effects of flipped learning through EBSmath on Students' 'rate and ratio' learning. By increasing demands for change in education, an innovative teaching and learning paradigm, 'Flipped Learning', has been presented and drawing attentions. In South Korea, Flipped Learning is also highly recognized for its effectiveness by many scholars and various media. However, this innovative learning model has limitations in application and expansion due to the excessive burden of class preparation of teachers.
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As a result, Flipped learning through EBSmath had a positive effect on students' 'rate and ratio' problem solving. In addition, a statistically significant change was identified in the 'willingness', which is subdomain of students' mathematical disposition.

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5평면도형의 교수·학습 요소에 따른 삼각형에 관한 초등학교 교과서 분석

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The area of a trapezoid is an important concept to develop mathematical thinking and competency, but many students tend to understand the formula for the area of a trapezoid instrumentally. A clue to solving these problems could be found in Dienes' theory of learning mathematics and Watson and Mason' concept of example spaces. The purpose of this study is to obtain implications for the teaching and learning of the area of the trapezoid. This study analyzed the example spaces constructed by students in learning the area of a trapezoid based on Dienes' theory of learning mathematics. As a result of the analysis, the example spaces for each stage of math learning constructed by the students were a trapezoidal variation example spaces in the play stage, a common representation example spaces in the comparison-representation stage, and a trapezoidal area formula example spaces in the symbolization-formalization stage. The type, generation, extent, and relevance of examples constituting example spaces were analyzed, and the structure of the example spaces was presented as a map. This study also analyzed general examples, special examples, conventional examples of example spaces, and discussed how to utilize examples and example spaces in teaching and learning the area of a trapezoid. Through this study, it was found that it is appropriate to apply Dienes' theory of learning mathematics to learning the are of a trapezoid, and this study can be a model for learning the area of the trapezoid.

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1초등학교 수학에서 분수 나눗셈의 알고리즘 정당화하기

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발행기관 : 한국수학교육학회 간행물 : C-초등수학교육 22권 2호 발행 연도 : 2019 페이지 : pp. 113-127 (15 pages)

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본 연구의 목적은 자연수 나눗셈의 정의를 확장하여 분수 나눗셈에 적용함으로써 초등학교 수학에서 분수 나눗셈의 알고리즘을 정당화하는데 있다. 먼저 초등학교 수학에서 분수 나눗셈을 도입할 때 고려해야 할 준거들을 도출하여 제시하였다. 이를 바탕으로 분수 나눗셈의 표준 알고리즘을 유도하는 기존의 방식들이 분수 나눗셈 도입 과정에 적절한지를 고찰하였다. 또한 분수 나눗셈을 정의하였으며, 단위원 분할 모델과 정사각형 분할 모델을 통하여 구체적 조작 활동을 함으로써 등분제와 포함제 상황의 분수 나눗셈에서 표준 알고리즘을 자연스럽게 정당화하였다.

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2CCSSM-CA와 미국 교과서에 제시된 분수의 연산 내용 분석

저자 : 이대현 ( Lee Dae Hyun )

발행기관 : 한국수학교육학회 간행물 : C-초등수학교육 22권 2호 발행 연도 : 2019 페이지 : pp. 129-147 (19 pages)

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본 연구에서는 CCSSM-CA와 그에 따른 미국 초등 교과서에 제시된 분수의 연산 내용을 분석하였다. 분석 결과, 분수를 단위분수나 분모가 같은 분수의 합으로 표현하게 하여 분수 개념과 연산을 연결 짓는 특징이 있었다. 또 분수의 곱셈에서는 곱하는 한 수의 크기에 기초하여 다른 수의 곱의 결과를 비교하도록 하거나, 나눗셈에서는 단위 분수가 포함된 나눗셈을 먼저 다루고, 다양한 방법으로 계산을 하도록 제시하는 특징 등이 있었다.

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