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Three patterns of the concept of real numbers

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Recently it has been suggested fundamental concepts in theory of real numbers in [Pa3]. As a subsequent research the present paper treats with certain patterns of the concept of real numbers. The concept of real numbers is divided three patterns - intuitive, logical and formal concepts.

Abstract

Recently it has been suggested fundamental concepts in theory of real numbers in [Pa3]. As a subsequent research the present paper treats with certain patterns of the concept of real numbers. The concept of real numbers is divided three patterns - intuitive, logical and formal concepts.

참고문헌 (15)

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  6. S. MacLane, "Mathematics : form and function" (1986), Springer-Verlag
  7. 中尾愼宏, "微分積分學" (1987), 近代科學社
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  10. 박홍경, "실수론의 근본적 개념", Proc. Jangjeon Math. Soc, 14, pp.387~393 (2011)
  11. 박홍경, "벡터개념의 강의적 체계순서에 관하여", 한국수학사학회지, 20(2), pp.59~72 (2007), 한국수학사학회
  12. 박홍경, "수학적 개념의 유형과 효과적인 개념학습- 벡터이론을 중심으로", 한국수학사학회지, 20(3), pp.105~126 (2007), 한국수학사학회
  13. 박홍경, "On teaching the concept of continuous functions in calculus", 한국데이터정보과학회지, 18(4), pp.859~868 (2007), 한국데이터정보과학회
  14. 竹之內偹, "實數の基本定理, In 定理から數學入門, 數學セミナ", pp.106~109 (1984), 日本評論社
  15. "Prospective elementary teachers conceptions of rational numbers" (1998)[URL]

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