드 모르간이 위대한 수학 교육자가 되기까지 : UCL의 사회적, 제도적, 간학문적 맥락 속에서 순수 수학 교육 바라보기

From a Young Mathematics Professor to a Great Mathematics Teacher: Considering Characteristic Features of the Education of Pure Mathematics in the Social, Institutional and Interdisciplinary Contexts of UCL

  • 조수남 (서울대학교 과학사 및 과학철학 협동과정)
  • Cho, Su-Nam (Interdisciplinary Program in History and Philosophy of Science, Seoul National University)
  • 투고 : 2011.05.27
  • 심사 : 2011.08.22
  • 발행 : 2011.08.31

초록

1820년대 말에 런던대학칼리지의 초대 수학 교수가 되었던 드 모르간은 인접 분야인 자연철학 분야의 독특한 특징, 런던대학칼리지 학생들의 학업 수준 및 관심, 그리고 수학에 대한 부정적 인식들 속에서 자연스럽게 수학 '교육'의 문제에 특별한 관심을 기울이게 되었다. 그리고 학생들의 수준에 맞게 수학 분야들을 효과적으로 가르치려는 과정에서 다른 무엇보다도 수학의 기본 원리 및 개념들을 명확하게 이해시키고, 수학적 논의들을 엄밀하고 논리적인 방식으로 설명하는 데 집중하였다. 그가 연구자로만 남아 있을 수 없었던 상황에서, 그의 수학 교육은 UCL의 사회적 제도적 특징들, 수학 교육을 둘러싼 다양한 견해들, 그리고 인접 분야와의 관계 속에서 특정한 방식으로 구성되고 발전해 나가는 것이었다.

Augustus De Morgan became to be deeply interested in the education of pure mathematics since he came to teach in UCL because of the specific nature of natural philosophy lectures, the academical knowledge and reasoning powers of the students, and the negative attitudes of London society on mathematics. During his long tenure, he really tried his best to make his students understand the important concepts and the principles of pure mathematics, and logically explain the processes of inducing and proving the laws of pure mathematics. When he could not stay as a mere researcher, he had to concern himself with and pay attention to the problems of educating students. And then his teaching style was constructed in a specific way by the various attitudes about mathematics, the boundary relationship between the adjacent academical branches, and the social and systematic nature of UCL.

키워드

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