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An Analysis of Pre-service Teachers' Pedagogical Content Knowledge about Story Problem for Division of Fractions

분수 나눗셈 스토리 문제 만들기에 관한 예비교사 지식 조사 연구

  • Noh, Jihwa (Department of Mathematics Education, Pusan National University) ;
  • Ko, Ho Kyoung (Graduate School of Education, Ajou University) ;
  • Huh, Nan (Graduate School of Education, Kyonggi University)
  • Received : 2015.12.31
  • Accepted : 2016.01.24
  • Published : 2016.01.31

Abstract

This study examined pre-service teachers' pedagogical content knowledge of fraction division in a context where they were asked to write a story problem for a symbolic expression illustrating a whole number divided by a proper fraction. Problem-posing is an important instructional strategy with the potential to create meaningful contexts for learning mathematical concepts, especially when real-world applications are intended. In this study, story problems written by 135 elementary pre-service teachers were analyzed with respect to mathematical correctness. error types, and division models. Patterns and tendencies in elementary pre-service teachers' knowledge of fraction division were identified. Implicaitons for teaching and teacher education are discussed.

본 연구는 초등 예비교사의 교사지식 중 분수 나눗셈 스토리 문제 제기(problem posing) 수행 정도를 파악하고자 하였다. 나눗셈에 관한 스토리 문제 제기 능력은 나눗셈의 개념을 실생활 맥락에서 유연하게 사용하는 능력과도 관련이 있기 때문에 초등 예비교사들이 향후 교실에서 실생활 소재를 통해 나눗셈 교수 내용을 구성하고 가르치는데 있어 중요한 능력이라 할 수 있다. 이를 위하여 초등 예비교사 135명을 대상으로 자연수 나누기 분수 문제에 대한 설문조사를 실시하고, 분석틀 기준에 따라 '수학적 정교성'과 '주요 오류 유형' 그리고 '나눗셈 연산 모델'의 세 부분으로 나누어 자료를 분석함에 따라 초등 예비교사의 나눗셈 교사 지식에 대한 시사점을 제공하였다.

Keywords

References

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