상사의 관점으로 보는 수학수업 = Elementary School Mathematics Teaching on a Viewpoint of Foucault`s Similitude

다국어 초록 (Multilingual Abstract)

This paper reexamined perspectives on mathematics teachings using concepts of resemblance`` and ``similitude`` which Michel Foucault has suggested in his book, The Order oj Things. An ontological superiority is assumed to the original on a viewpoint of ``resemblance``. However, on a viewpoint of ``similitude``, the objective referent is gone. The distinction between resemblance and similitude drawn by Foucault`s analysis is to change a view on teachers` position in mathematics classroom and mathematics teachings. As cases shown in this paper, mathematics teachings can be kinds of simulacra, from activity playing among curriculum, textbook, and teaching rather than activity copying the curriculum and textbook.

참고문헌 (Reference)

1 Gutting, G., "푸코의 과학적 지식의 고고학" 백의출판 1999

2 Gleick, J., "카오스: 현대과학의 대혁명" 동문사 1993

3 이경화, "초등수학교육과 중등수학교육의 비교" 대한수학교육학회 11 (11): 321-340, 2001

4 김상미, "초등수학 영재교육원 학생들의 프랙탈 구성 방법 분석" 대한수학교육학회 19 (19): 341-354, 2009

5 김상미, "초등교사 <나>의 수업 이야기로 보는 수학 수업의 은유" 한국교원대학교 대학원 2005

6 Deleuze, G., "의미의 논리" 도서출판 한길사 1999

7 이정우, "신족과 거인족의 투쟁: 이데아와 시뮬라크르" 도서출판 한길사 2008

8 이정우, "시뮬라크르의 시대 들뢰즈와 사건의 철학" 거름 1999

9 Peitgen, Heinz-Otto, "수학교사를 위한 프랙탈기하" 경문사 1998

10 Bruner, J., "브루너 교육의 과정" 배영사 1973

11 Foucault M., "말과 사물" 민음사 1986

12 진중권, "놀이와 예술 그리고 상상력" 휴머니스트 2005

13 Foucault M., "그것은 파이프가 아니다" 민음사 1973

14 이홍우, "교과와 실재" 1-25, 2000

15 유한구, "교과와 교사" 13 (13): 1-23, 2001

16 Hainlyn, D. W., "경험과 이해의 성장" 교육과학사 1990

17 Bruner, J., "The culture of education" Harvard University Press 1996

18 Reddy(1978, 1993). The conduit metaphor : A case of frame conflict in our language about language. In A. Ortony(Ed. ), "The conduit metaphor: A case of frame conflict in our language about language, In Metaphor and Thought (2nd ed.)" Cambridge University Press 164-201, 1993

19 Sfard, A., "Steering (dis)course between metaphor and rigor: Using focal analysis to investigate and emergence of mathematical objects" 31 (31): 296-327, 2000

20 Sfard, A., "Reification as the birth of metaphor" 14 (14): 44-54, 1994

21 Thompson, P. W., "Notation, conventions, and constraints: Contributions to effective uses of concrete materials in elementary mathematics" 23 (23): 123-147, 1992

22 Doyle, W., "Curriculum and Pedagogy, In Handbook of Research on Curriculum" Macmillan Publishing Company 486-516, 1992

23 Sfard, A., "Commentary: On the metaphorical roots of conceptual growth, In Mathematical reasoning: Analogies, metaphors, and images" Lawrence Erlbaxim Associates 339-371, 1997

24 Bruner, J., "Actual minds, possible worlds" Harvard University Press 1986