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수학사를 활용한 중학교 방정식에서 학생의 수학화

Student's Mathematization of Equations in the Middle School Using the History of Mathematics

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Abstract

This research was to understand the features of mathematization and didactical phenomenology, in a way that was not a routine calculation of equation, rather a complete comprehension by the reinventing historical principles of the equation. To achieve the purpose of this study, one-male middle school student participated in the study. Interview and observation were used for collecting data during the student's performance. The results of research were: First, the student understood the mathematical concepts from a real life and developed the abstract concepts from it, which were very intimately related with his life. Second, the skill and formula definition were accomplished with the accompanying predicted and consequently derived mathematical concepts. Third, through the approach of using the history of mathematics, he became more interested in what he was doing and took lessons with confidence. Forth, the student performed his learning based on the historical reinventing principle under the proper guidance of a teacher.

참고문헌 (16)

  1. "청소년을 위한 서양 수학사" (2006), 두리미디어
  2. "Freudenthal의 수학화 활동을 위한 중학교 대수영역의 학습 자료개발" (2004)
  3. "수학의 세계" (1985), 서울대학교 출판부
  4. "Freudenthal의 수학화 학습 이론에 근거한 기하단원의 학습 자료 개발 및 적용에 관한 사례연구" (2005)
  5. "학교수학의 교육적 기초" (1998), 서울대학교 출판부
  6. "수학 학습-지도 원리와 방법" (2000), 서울대학교 출판부
  7. "Freudenthal의 수학화 활동을 위한 방정식부등식 영역의 학습 자료 개발" (2005)
  8. "현실주의 수학교육에 관한 고찰" (2001)
  9. "Freudenthal의 수학화 학습-지도 연구" (1997)
  10. "Mathematics as an Educational Task" (1973), Kluwer Academic Publishers
  11. "The Logic of Mathematical Discovery 수학적 발견의 논리"
  12. "Second Degree Equations in the Classroom A Babylonian Approach", pp.69~76 (2000), Mathemaical Association of America
  13. "Student's Mathematization of Equations in the Middle School"
  14. "Using the History of Mathematics攀* ZDM Classification"
  15. "Mathematics Subject Classification" (2000)
  16. "Mathematics Subject Classification" (2000)

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