Communications of Mathematical Education (한국수학교육학회지시리즈E:수학교육논문집)

Korean Society of Mathematical Education (한국수학교육학회)
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Analysis on number sense for problem solving methods of elementary and middle school students

초등학생과 중학생의 수감각 문제해결 방법에 대한 분석

  • Received : 2014.10.10
  • Accepted : 2014.12.01
  • Published : 2015.02.15
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Abstract

Mathematics education emphasizes on nurturing number sense, but researches on this have been scarce, and most of them has been confined to elementary level students. This thesis, therefore, tried to analyze how elementary students solve mathematics sense problems in order to give some insight into how to teach number sense. For this, this thesis categorized into two ways of using number sense and algorithm as problem solving, and analyzed students' responses using test sheets. Accordingly, middle school students showed higher score on the number sense test and higher rates of using number sense than elementary students. In addition, students showing higher achievement used both number sense and algorithm, but those of lower achievement were more likely to use only algorithm. Plus, among students showing higher achievement, middle school students used more number sense than elementary school students, but there was not meaningful difference among those showing lower achievement. Lastly, It was shown that there was difference in the rate using number sense according to the number sense components.

수학교육에서 학생들의 수감각 발달을 강조하고 있지만 이에 대한 연구는 부족한 실정이며 초등학생에 국한된 경우가 많다. 이에 본 연구는 초등학생과 중학생을 대상으로 수감각 문제를 해결하는 방법을 분석함으로써, 수감각 지도방향에 대한 시사점을 제공하고자 하였다. 이를 위해 본 연구에서는 문제를 해결하는 방법으로 수감각을 활용하는 방법과 알고리즘을 활용하는 방법으로 분류하고, 검사지를 이용하여 학생들의 반응을 분석하였다. 그 결과 중학생들이 초등학생들에 비해 수감각 검사 점수가 높았으며, 문제해결 방법 중 수감각을 활용하는 비율도 높았다. 또한 성취도가 높은 학생들은 수감각과 알고리즘을 모두 활용하였으나 성취도가 낮은 학생들은 알고리즘을 활용하여 문제를 해결하려고 하는 경향이 강했다. 그리고 성취도가 높은 학생들은 초등학생에 비해 중학생이 상대적으로 수감각을 더 많이 활용하였으나, 성취도가 낮은 학생들끼리는 차이가 없었다. 마지막으로 수감각 구성 요소별로 수감각을 활용하는 비율에 차이가 있는 것으로 나타났다.

Keywords

References

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