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행렬의 명제 문제에 대한 오류 분석 및 교정 지도 방안에 관한 연구
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  • 행렬의 명제 문제에 대한 오류 분석 및 교정 지도 방안에 관한 연구
  • A Study on Error Analysis and Correction Method in Proof Problems of Matrix
저자명
김혜진,김원경,Kim. Hye-Jin,Kim. Won-Kyung
간행물명
數學敎育
권/호정보
2010년|49권 2호|pp.161-174 (14 pages)
발행정보
한국수학교육학회
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정기간행물|
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기타
이 논문은 한국과학기술정보연구원과 논문 연계를 통해 무료로 제공되는 원문입니다.
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기타언어초록

The purpose of the study is to analyze various types of errors appeared in true-false proof problems of matrix and to find out correction method. In order to achieve this purpose, error test was conducted to the subject of 87 second grade students who were chosen from D high schoool. It was shown from this test that the most frequent error type was caused by the lack of understanding about concepts and essential facts of matrix(35.3%), and then caused by the invalid logically reasoning (27.4%), and then caused by the misusing conditions(18.7%). Through three hours of correction lessons with 5 students, the following correction teaching method was proposed. First, it is stressed that the operation rules and properties satisfied in real number system can not be applied in matrix. Second, it is taught that the analytical proof method and the reductio ad absurdum method are useful in the proof problem of matrix. Third, it is explained that the counter example of E=$egin{pmatrix}1;0\0;1 end{pmatrix}$, -E should be found in proof of the false statement. Fourth, it is taught that the determinant condition should be checked for the existence of the inverse matrix.