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수학교육에서 수학사적 고찰을 통한 기하학적·대수학적 두 접근 방법의 의의

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참고문헌

주제분류수학

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Abstract

This article dealt with two approaches, algebraic and geometric approaches in terms of Pythagoreans theorem. As mathematics evolves, many theorems had been developed beginning with geometric approaches. However, the algebraic techniques that survive these days are so powerful and generalized in school curriculum. So, if students have more chances to see mathematical properties in geometrical ways, they can experience how beautiful and meaningful they are through the process of the advent of them. Also, it was to try to develop an insight into their applications to other problems.

참고문헌 (10)

  1. "수학적 탐구력 신장을 위한 테크놀로지의 활용의 효과", 42, pp.647~672 (2003)
  2. "수학과 교육 과정" (1997), 대한 교과서 주식회사
  3. "학교수학의 교육적 기초" (2000), 서울대학교 출판부
  4. "역사 발생적 원리의 비판적 수용에 대하여", 15, pp.109~114 (2002)
  5. "Geometric approaches to quadratic equations from other times and places", 94, pp.308~313 (2001)
  6. "Theorem in three moves", 26, pp.224~225 (1997)
  7. "Terence Tao", pp.213~238 (1984)
  8. "Mathematical Thought from Ancient to Modern Times" (1972), Oxford Univer- sity Press
  9. "National Council of Teachers of Mathematics Principles and Standards for School Mathematics" (2000)
  10. "Humanistic and utilarian aspect of mathematics" (1993), Mathematical Association of America

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