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Volumn 54, Issue 4, 2007, Pages 499-502

A metaphor for mathematics education

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EID: 34247244121     PISSN: 00029920     EISSN: 10889477     Source Type: Journal    
DOI: None     Document Type: Review
Times cited : (9)

References (11)
  • 1
    • 34247202851 scopus 로고    scopus 로고
    • This account from M. J. Crowe, A History of the Vector Calculus: The Evolution of the Idea of a Vectorial System, Dover, rev. ed., 1994. Crowe's suggestion is on pp. 94-95.
    • This account from M. J. Crowe, A History of the Vector Calculus: The Evolution of the Idea of a Vectorial System, Dover, rev. ed., 1994. Crowe's suggestion is on pp. 94-95.
  • 2
    • 34247273804 scopus 로고    scopus 로고
    • The philosopher most strongly associated with this sort of view is Immanuel Kant: see his Prolegomena to Any Future Metaphysics, which is slightly more accessible and a lot shorter than his Critique of Pure Reason. For a more clear, plausible, and moderate distillation, see A. F. Chalmers, What Is This Thing Called Science?, Univ. of Queensland Press, 2nd ed., 1976.
    • The philosopher most strongly associated with this sort of view is Immanuel Kant: see his Prolegomena to Any Future Metaphysics, which is slightly more accessible and a lot shorter than his Critique of Pure Reason. For a more clear, plausible, and moderate distillation, see A. F. Chalmers, What Is This Thing Called Science?, Univ. of Queensland Press, 2nd ed., 1976.
  • 3
    • 34247263496 scopus 로고    scopus 로고
    • D. Hilbert, On the infinite, reprinted in Philosophy of Mathematics (P. Benacerraf and H. Putnam, eds.), Cambridge Univ. Press, 1983, pp. 183-201.
    • D. Hilbert, "On the infinite", reprinted in Philosophy of Mathematics (P. Benacerraf and H. Putnam, eds.), Cambridge Univ. Press, 1983, pp. 183-201.
  • 4
    • 34247252689 scopus 로고    scopus 로고
    • See I. Lakatos, Proofs and Refutations: The Logic of Mathematical Discovery, (J. Worrall and E. Zahar, eds.), Cambridge Univ. Press, 1976, for examples.
    • See I. Lakatos, Proofs and Refutations: The Logic of Mathematical Discovery, (J. Worrall and E. Zahar, eds.), Cambridge Univ. Press, 1976, for examples.
  • 6
    • 10844219729 scopus 로고    scopus 로고
    • Processing fluency and aesthetic pleasure: Is beauty in the perceiver's processing experience?
    • See
    • See R. Reber, N. Schwarz and P. Winkielman, "Processing fluency and aesthetic pleasure: Is beauty in the perceiver's processing experience?", Personality and Social Psychology Review 8:4 (2004), 364-382.
    • (2004) Personality and Social Psychology Review , vol.8 , Issue.4 , pp. 364-382
    • Reber, R.1    Schwarz, N.2    Winkielman, P.3
  • 7
    • 34247271642 scopus 로고    scopus 로고
    • Eastern philosophy, on the other hand, has devoted a great deal of attention to pedagogy
    • Eastern philosophy, on the other hand, has devoted a great deal of attention to pedagogy.
  • 8
    • 23044518360 scopus 로고    scopus 로고
    • J. E. Szydlik, Mathematical beliefs and conceptual understanding of the limit of a function, J. Res. Math. Ed. 13:3 (2000), 258-276.
    • J. E. Szydlik, "Mathematical beliefs and conceptual understanding of the limit of a function", J. Res. Math. Ed. 13:3 (2000), 258-276.
  • 9
    • 33847360474 scopus 로고
    • The teaching of elementary calculus using the nonstandard analysis approach
    • K. Sullivan, "The teaching of elementary calculus using the nonstandard analysis approach", Amer. Math. Monthly 85:5 (1976), 370-375.
    • (1976) Amer. Math. Monthly , vol.85 , Issue.5 , pp. 370-375
    • Sullivan, K.1
  • 10
    • 34247181401 scopus 로고    scopus 로고
    • Hilbert, remember, would call this an engineering aspect
    • Hilbert, remember, would call this an engineering aspect.
  • 11
    • 21244482649 scopus 로고    scopus 로고
    • See, e.g., I. Kleiner, History of the infinitely small and the infinitely large in calculus, Ed. Stud. Math. 48 (2001), 137-174.
    • See, e.g., I. Kleiner, "History of the infinitely small and the infinitely large in calculus", Ed. Stud. Math. 48 (2001), 137-174.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.