Journal of Science Education (과학교육연구지)

Science Education Research Institute Kyungpook National University (경북대학교 과학교육연구소)
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An Analysis on Elementary Pre-Service Teachers' Word Problems and Problem Solving Methods in Fraction Division

초등 예비교사들이 제시한 분수 나눗셈 문장제와 해결 방법 분석

  • Received : 2022.02.04
  • Accepted : 2022.04.29
  • Published : 2022.04.30
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Abstract

Fraction division is the content that is important but difficult to learn because it includes the process of finding a numerical expression in the real-world context, the process of making a context that matches a numerical expression, how to solve division, and the justification of standard algorithm. This study analyzes the word problems and problem solving methods about fraction division which elementary pre-service teachers represented. Pre-service teachers have more difficulty in making word problem where the dividend is less than the divisor and they also show typical errors in making the word problems. There were differences in the methods presented according to the contexts of division in problem solving. Through this study, it is necessary to rethink the teaching methods for fraction division instruction in the curriculum for pre-service teachers and analyze the formation process of 'knowledge for content and teaching' because of the differences in responses between grades.

분수 나눗셈에서는 실세계 상황에서 식을 찾는 과정과 역으로 식에 맞는 상황을 만드는 과정, 나눗셈식을 해결하는 방법과 표준 알고리즘의 정당화 과정 등이 중요하면서도 이해하기 어려운 학습 내용이다. 본 연구에서는 예비교사들의 분수 나눗셈식에 맞는 문장제 만들기와 문장제 해결에 이용한 방법을 분석하였다. 초등 예비교사들은 피제수가 제수보다 작은 분수 나눗셈에서 그 반대인 경우보다 문장제 만들기에 어려움을 가지고 있었고, 문장제 만들기에서도 전형적인 오류를 나타내었다. 문장제 해결에서는 문제 상황에 따라 이용한 방법에 차이가 나타났다. 본 연구를 통해 예비교사 교육과정에서 분수 나눗셈 지도에 관한 지도 방법의 재고와 학년 간 반응 결과의 차이를 고려할 때 예비교사들의 '교수와 내용에 관한 지식'의 형성 과정에 관한 분석이 이루어질 필요가 있다.

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References

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