고등학교 이차곡선 단원의 효과적인 지도 방안
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초록
The conic sections is an important topic in the current high school geometry. It has been recognized by many researchers that high school students often have difficulty or misconception in the learning of the conic sections because they are taught the conic sections only with algebraic perspective or analytic geometry perspective. In this research, we suggest a way of teaching the conic sections using a dynamic geometry software based on some mathematics teaching and learning theories such as Freudenthal's and Dienes'. Students have various experience of constructing and manipulating the conic sections for themselves and the experience of deriving the equations of the quadratic curves under the teacher's careful guidance. We identified this approach was a feasible way to improve the teaching and learning methods of the conic sections.
Abstract
The conic sections is an important topic in the current high school geometry. It has been recognized by many researchers that high school students often have difficulty or misconception in the learning of the conic sections because they are taught the conic sections only with algebraic perspective or analytic geometry perspective. In this research, we suggest a way of teaching the conic sections using a dynamic geometry software based on some mathematics teaching and learning theories such as Freudenthal's and Dienes'. Students have various experience of constructing and manipulating the conic sections for themselves and the experience of deriving the equations of the quadratic curves under the teacher's careful guidance. We identified this approach was a feasible way to improve the teaching and learning methods of the conic sections.
참고문헌 (14)
- 김한, "수학 응용소프트웨어를 활용한 효과적인 이차곡선의 지도방안", 수학교육 논문집, 24, pp.125~141 (2000), 한국수학교육학회
- 남호영, "원뿔에서 태어난 이차곡선" (2005), 수학사랑
- 류희찬, "역동적 기하 환경에서 파푸스의 분석법을 이용한 이차곡선의 작도활동에서 나타난 학생들의 수학적 발견과 정당화", 교원교육, 25(4), pp.168~189 (2009), 교육연구원
- 이우영, "수학사" (2005), 경문사
- 장미라, "역사적 고찰을 통한 이차곡선의 지도방안", 수학교육 논문집, 24(3), pp.731~744 (2010), 한국수학교육학회
- 정정성, "Dienes의 수학 학습원리의 이해와 적용", Journal of Science Education, 25, pp.1~13 (2001)
- 홍성관, "이차곡선 학습에서 고등학생들의 오개념 분석", 학교수학, 9(1), pp.119~139 (2007), 대한수학교육학회
- 황선욱, "고등학교 기하와 벡터 교사용 지도서" (2010), ㈜좋은책신사고
- 황선욱, "고등학교 기하와 벡터 익힘책" (2010), ㈜좋은책신사고
- 황우형, "탐구형소프트웨어를 사용한 해석기하 지도에 관한사례연구", 수학교육, 41(3), pp.341~360 (2002), 한국수학교육학회
- 황혜정, "수학교육학신론" (2007), 문음사
- Freudenthal, H., "Revisiting mathematics education: China lectures" (1991), Kluwer Academic Publishers
- Borba, M. C., "Human-with-Media and the Reorganization of Mathematical Thinking" (2005), Springer
- NCTM, "Principles and Standards for School Mathematics" (2000), The National Council of Teachers of Mathematics
