Journal of Educational Research in Mathematics (대한수학교육학회지:수학교육학연구)

The Korea Society of Educational Studies in Mathematics (대한수학교육학회)
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What is School Mathematics?

학교수학이란 무엇인가?

  • Received : 2015.07.10
  • Accepted : 2015.08.14
  • Published : 2015.08.31
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Abstract

The nature of school mathematics has not been asked from the epistemological perspective. In this paper, I compare two dominant perspectives of school mathematics: ethnomathematics and didactical transposition theory. Then, I show that there exist some examples from Old Babylonian (OB) mathematics, which is considered as the oldest school mathematics by the recent contextualized anthropological research, cannot be explained by above two perspectives. From this, I argue that the nature of school mathematics needs to be understand from new perspective and its meaning needs to be extended to include students' and teachers' products emergent from the process of teaching and learning. From my investigation about OB school mathematics, I assume that there exist an intrinsic function of school mathematics: Linking scholarly Mathematics(M) and everyday mathematics(m). Based on my assumption, I suggest the chain of ESMPR(Educational Setting for Mathematics Practice and Readiness) and ESMCE(Educational Setting For Mathematical Creativity and Errors) as a mechanism of the function of school mathematics.

최근의 고고학적으로 문맥화 된 수학사연구는 인류 초기 문명인 고대 바빌로니아의 학교에서 수학교육이 기능하였다는 사실과 함께 현존하는 가장 오래된 수학인 고대 바빌로니아의 수학적 텍스트가 학교에서 이루어진 교수-학습 과정의 산물(産物)임을 보여준다. 이러한 측면에서 학교수학의 본질과 기능에 대한 탐구의 필요성이 제기되는 바, 본 연구는 교수-학습 과정서 나타나는 산물을 포함하도록 학교수학의 개념을 확장하고 학교수학의 기능에 대한 분석을 시도하였다. 그 결과, 학교수학은 일상생활에서의 수학활동과 학문으로서의 수학의 경계를 명확히 하고 양자를 연결해왔으며 수학적 연습과 준비를 시키는 교육상황(ESMPR)과 수학적 창의성과 오류가 발현되는 교육상황(ESMCE)의 계속되는 연쇄를 통해 작동해온 것으로 파악되었다. 이로부터 본 연구자는 학습에 대한 상반된 두 패러다임인 획득으로서의 학습과 참여로서의 학습은 각각 ESMPR과 ESMCE에 대응하여 상보적으로 작동할 수 있으며 학교수학적 지식의 질적 성장이 Bruner가 말하는 교사와 학생이 형성하는 상호학습 커뮤니티가 Popper의 추측과 반박의 방법을 통해 완성해 나가는 작품으로 이해될 수 있다고 주장하였다.

Keywords

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