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특성화고교에서의 효과적인 수학교육 방안

An Effective Method for Mathematics Teaching and Learning in Characterization High School

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Many mathematics teachers in characterization high schools have been troubled to teach students because most of the students have weak interests in mathematics and they are also lack of preliminary mathematical knowledges. Currently many of mathematics teachers in such schools teach students using worksheets owing to the situation that proper textbooks for the students are not available. In this study, we referred to Chevallard's didactic transposition theory based on Brousseau's theory of didactical situations for mathematical teaching and learning. Our lessons utilizing worksheets necessarily entail encouragement of students’ self-directed activities, active interactions, and checking the degree of accomplishment of the goal for each class. Through this study, we recognized that the elaborate worksheets considering students' level, follow-up auxiliary materials that help students learn new mathematical notions through simple repetition if necessary, continuous interactions in class, and students’ mathematical activities in realistic situations were all very important factors for effective mathematical teaching and learning.

Abstract

Many mathematics teachers in characterization high schools have been troubled to teach students because most of the students have weak interests in mathematics and they are also lack of preliminary mathematical knowledges. Currently many of mathematics teachers in such schools teach students using worksheets owing to the situation that proper textbooks for the students are not available. In this study, we referred to Chevallard's didactic transposition theory based on Brousseau's theory of didactical situations for mathematical teaching and learning. Our lessons utilizing worksheets necessarily entail encouragement of students’ self-directed activities, active interactions, and checking the degree of accomplishment of the goal for each class. Through this study, we recognized that the elaborate worksheets considering students' level, follow-up auxiliary materials that help students learn new mathematical notions through simple repetition if necessary, continuous interactions in class, and students’ mathematical activities in realistic situations were all very important factors for effective mathematical teaching and learning.

참고문헌 (9)

  1. 교육과학기술부, "고등학교 교육과정 해설 - 수학", 교육부, ~ (2008)
  2. 오춘영, "상업계 고등학교 수학교과서의 재구성이 학습자에게 미치는 영향", 수학교육, 43(1), pp.13~34 (2004), 한국수학교육학회
  3. 우정호, "수학 학습-지도 원리와 방법" (2009), 서울대학교출판문화원
  4. 이경화, "교수학적 변환론의 이해", 수학교육학연구, 6(1), pp.203~213 (1996)
  5. 황우형, "특성화고등학교 수학교육에 관한 현황 및 개선 방안에 관한 연구", 수학교육 논문집, 23(2), pp.197~230 (2009), 한국수학교육학회
  6. 황혜정, "수학교육학 신론" (2012), 문음사
  7. Bosch, M., "Twenty-five years of the didactic transposition", ICMI Bulletin, (58), pp.51~65 (2006)
  8. Brousseau, G., "Theory of didactical situations in mathematics" (1997), Kluwer Academic Publishers
  9. Freudenthal, H., "Didactical Phenomeniligy of Mathematical Structures" (1983), D. Reidel Publishing Company

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