한국수학사학회지 (Journal for History of Mathematics)

한국수학사학회 (The Korean Society for History of Mathematics)
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무한 개념에 대한 수학 교육학적 고찰

  • 이대현 (전주공업고등학교) ;
  • 박배훈 (한국교원대학교 수학교육과)
  • 발행 : 2003.09.01
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초록

Infinity is very important concept in mathematics. In history of mathematics, potential infinity concept conflicts with actual infinity concept for a long time. It is reason that actual infinity concept causes difficulty in our perceptions. This phenomenon is called epistemological obstacle by Brousseau. So, in this paper, we examine the infinity in terms of mathematical didactics. First, we examine the history of development of infinity and reveal the similarity between the history of debate about infinity and episternological obstacle of students. Next, we investigate obstacle of students about infinity and the contents of curriculum which treat the infinity Finally, we suggest the methods for overcoming obstacle in learning of infinity concept.

키워드

참고문헌

  1. 수학 2-가 교육부
  2. 수학 6-나 교육인적자원부
  3. 수학 1 박배훈;김원경;조민식;김두성;김원석;정원진;이대현
  4. 수학 10-나 박배훈;김원경;조민식;김원석;이대현
  5. 학교수학의 교육적 기초 우정호
  6. 수학 학습-지도원리와 방법 우정호
  7. 한국교원대학교 박사학위 논문 수학 문제해결과정에서 고등학생들의 직관적 사고의 분석 이대현
  8. 수학 7-가 이영하;허민;박영훈;여태경
  9. 수학 8-가 이영하;허민;박영훈;여태경
  10. 수학 9-가 이영하;허민;박영훈;여태경
  11. 수학적 존재와 인식 임정대
  12. The Mystery of the Aleph. Four Walls Eight Windows c/o;무한의 신비: 수학,철학,종교의 만남 Aczel,A.D;신현용(역);승영조(역)
  13. Theory of Didactical Situations in Mathematics Brousseau, G
  14. An Introduction to the History of Mathematics Eves,H.
  15. An Educational Approach Intuition in science and mathematics Fischbein,E.
  16. Educational Studies in Mathematics The Intuition of Infinity Fischbein,E;Tirosh,D;Hess,P.T
  17. Educational Studies in Mathematics Is it possible to measure the intuitive acceptance of a mathematical statement? Fischbein,E.;Tirosh,D.;Melamed,U.
  18. Mathematics: The Loss of Certainty;수학의 확실성 Klein,M.;박세희(역)
  19. To Infinity And Beyond: A Cultural History of the infinity;무한, 그리고 그 너머: 무한의 문화사 Maor,E.;전대호(역)
  20. Proofs Without Words: Exercises in Visual Thinking Nelsen,R.B.
  21. Advanced Mathematical Thinking The Role of Students' Intuitions of Infinity in Teaching the Cantorian Theory Tirosh,D.;Tall,D(ed.)
  22. International Journal of Mathematical Education in Science and Technology v.30 no.3 Finite and Infinite Sets: definitions and intuitions Tirosh,D.
  23. Set Theory: An Intuitive Approach You Feng Lin;Shwu Yeng T.Lin