The Mathematical Education (한국수학교육학회지시리즈A:수학교육)

Korean Society of Mathematical Education (한국수학교육학회)
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An analysis on middle school students' space geometrical thinking based on cylinder

원기둥을 이용한 중학생의 공간기하 이해 능력 분석

  • Received : 2020.03.30
  • Accepted : 2020.05.12
  • Published : 2020.05.31
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Abstract

The purpose of this study is to analyze how well middle school students understand space geometrical concept related to a cylinder. To this end, we developed the test tool based on prior research and examined 433 middle school students in November and December, 2018. And in March 2019, we interviewed 4 students who showed some type of errors. The difference in the correct answer rate of the questions by the grade and gender was tested, and the error type was analyzed based on the student's responses to the questions to evaluate the spatial reasoning ability. The results of this study are as follows. First, the difference by graders was not statistically significant in the questions evaluating spatial visual ability. On the other hand, in the case of the two questions for evaluating spatial measurement ability and spatial reasoning ability, the difference in the correct answer rate between the 7th graders and 8th is not significant, but the difference between lower graders and 9th was significant. Second, there was no significant difference in the spatial geometric ability of all girls and boys participating in this study. Third, analyzing the student's error type for an item which assessed spatial reasoning ability, we found that there are various error types in relation to visual, manipulative, and reasoning errors.

이 연구의 목적은 원기둥으로 중학생의 공간기하에 대한 이해 정도를 분석하는 것이다. 선행연구를 토대로 검사 도구를 개발하여 중학교 433명을 대상으로 검사를 실시하고, 그 응답 사례를 토대로 면담하였다. 학년과 성별에 따른 문항 정답률의 차이를 검증하고, 공간추론 능력 평가 문항에 대한 학생의 응답을 바탕으로 오류 유형을 분석하였다.

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References

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