본문 바로가기
KERD
논문KCI 등재

수학적 표현의 교수학적 의의

On the Pedagogical Significance of Mathematical Representations

0

조회

0

다운로드

7

인용

0

참고문헌

키워드

초록

The theory of representation, which has been an important topic of epistemology, has long history of study. But it has diverse meaning according to the fields of argument. In this paper the author set the meaning of mathematical representation as the interrelation of internal and external representations. With this concept, the following items were studied. 1. Survey on the concepts of mathematical representations. 2. Investigation of pedagogical significance of the mathematical representations, taking into account the characteristics of school mathematics. 3. Recommendation of principles for teaching representation to cope with the problems that are related with cause of disliking each domain of the secondary school mathematics. This study is expected to enable the development of teaching methods to help students strengthening their ability to comprehend mathematical sentences.

Abstract

The theory of representation, which has been an important topic of epistemology, has long history of study. But it has diverse meaning according to the fields of argument. In this paper the author set the meaning of mathematical representation as the interrelation of internal and external representations. With this concept, the following items were studied. 1. Survey on the concepts of mathematical representations. 2. Investigation of pedagogical significance of the mathematical representations, taking into account the characteristics of school mathematics. 3. Recommendation of principles for teaching representation to cope with the problems that are related with cause of disliking each domain of the secondary school mathematics. This study is expected to enable the development of teaching methods to help students strengthening their ability to comprehend mathematical sentences.

참고문헌 (25)

  1. 김영국, "우리나라 학생들의 수학 성취도에 관한 경향 분석", 한국수학교육학회지 시리즈 E <수학교육 논문집>, 20(2), pp.283~293 (2006)
  2. 김영국, "수학 기피유형의 분류 및 수학 성취 수준과의 상관성 연구", 수학교육학연구, 17(1), pp.33~50 (2007), 대한수학교육학회
  3. 김영국, "수학 기피요인의 설정 및 기피성향의 분석도구 개발", 한국수학교육학회지 시리즈 A <수학교육>, 40(2), pp.217~239 (2001)
  4. 김응태, "수학교육 교재론" (1980), 이우출판사
  5. 박한식, "수학교육사" (1982), 교학사
  6. 우정호, "대수의 사고 요소 분석 및 학습-지도 방안의 탐색", 수학교육학연구, 17(4), pp.453~475 (2007), 대한수학교육학회
  7. 이미연, "수학적 과제가 수학적 의사소통에 미치는 영향", 수학교육학연구, 17(4), pp.395~418 (2007), 대한수학교육학회
  8. 이종희, "수학적 의사소통 능력의 평가 기준 개발", 수학교육학연구, 11(1), pp.207~221 (2001), 대한수학교육학회
  9. 이종희, "등호 개념의 분석 및 학생들의 등호 이해 조사", 수학교육학연구, 13(3), pp.4~307 (2003), 대한수학교육학회
  10. Bloom, Benjamin S., "Taxonomy of Educational Objectives: Cognitive Domain" (1956), Longman
  11. Brenner Mary, E., "Learning by Understanding, The Role of Multiple Representations in Learning Algebra", American Educational Research Journal, 34(4), pp.663~689 (1997)
  12. Cuoco Albert, A., "The Role of Representation in School Mathematics: 2001 Yearbook" (2001), NCTM
  13. Davis Robert, B., "How students think: The role of representation;Mathematical reasoning: analogies, metaphors, and images", pp.93~116 (1997), Lawrence Erlbaum
  14. The concept of function, MAA, Notes Series 25, "Dubinsky, E.d.", ~ (1992)
  15. Ernest Paul, "Varieties of Constructivism: A Framework for Comparison;Theories of Mathematical Learning", pp.335~349 (1996), Lawrence Erlbaum Associates, Publishers
  16. Goldin Gerald, "Systems of Representations and the Development of Mathematical Concepts;The Role of Representation in School Mathematics: 2001 Yearbook", pp.1~23 (2001), NCTM
  17. Janvier Claude, "Mathematical Symbols and RepresentationsResearch Ideas for the Classroom: High School Mathematics", pp.79~101 (1993)
  18. Lamon Susan J., "Presenting and representing from fraction to rational numbers;The Role of Representation in School Mathematics: 2001 Yearbook", pp.146~165 (2001), NCTM
  19. Meyer Margaret, R., "Representation in Realistic Mathematics Education;The Role of Representation in School Mathematics: 2001 Yearbook", pp.238~250 (2001), NCTM
  20. Mullis Ina, V.S., "TIMSS 2003 Assessment frameworks and specifications 2003;International Study center" (2003), Lynch School of Education, Boston College
  21. NCTM, "Curriculum and Evaluation; Standard for School Mathematics" (1989), NCTM
  22. Curtis, L., "The use of symbols, worlds, and diagrams as indicators of mathematical cognition: A causal model", Journal for Research in Mathematics Education, 34(5), pp.406~432 (2003)
  23. Russell Bertrand, "The principles of Mathematics" (1903), W․W․ Norton & Company, INC
  24. Seeger Falk, "Representation in the mathematics classroom: Reflections and constructions;The Culture of the Mathematics Classroom", pp.308~343 (1998), Cambridge University Press
  25. Stewart, I., "자연의 수학적 본성" (1996), 동아출판사

관련 논문AI추천

이 간행물의 다른 논문 (7건)