Phenomenology of the concept of functions

함수 개념의 현상학

  • Yoo, Yoon-Jae (Department of Mathematics Education, Kyungpook National University)
  • 유윤재 (경북대학교 사범대학 수학교육과)
  • Received : 2010.05.12
  • Accepted : 2010.06.03
  • Published : 2010.08.31


In this paper function concept is classified in the phenomenological aspect. According to the study, function concept is classified as causality, designation, operation, change, figure, morhism, variables, functional, and operator. This classifications are categorized as pre-level function, basic level function, and upper level function.

함수 개념을 실제로 사용되고 있는 측면에서 분석하면 인과, 명명, 연산, 변화, 도형, 형태, 변수, 범함수, 작용소 등 적어도 9가지의 양상이 존재한다. 이러한 분석을 통하여 함수 개념은 현재 3단계로 성장해 왔다는 것이 밝혀졌다.


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