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Volumn 5, Issue 3, 2000, Pages 211-240

Meaning and formalism in mathematics

Author keywords

[No Author keywords available]

Indexed keywords

CURRICULA; STUDENTS; TEACHING;

EID: 0034544948     PISSN: 13823892     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1009806206292     Document Type: Article
Times cited : (9)

References (22)
  • 5
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    • L. D. English (Ed.), Mahwah, NJ: Erlbaum
    • Davis, R. B. and Maher, C. A. (1997). How students think: The role of representations. In L. D. English (Ed.), Mathematical Reasoning: Analogies, Metaphors and Images (pp. 93-115). Mahwah, NJ: Erlbaum.
    • (1997) Mathematical Reasoning: Analogies, Metaphors and Images , pp. 93-115
    • Davis, R.B.1    Maher, C.A.2
  • 6
    • 84990713544 scopus 로고
    • ISETL: A programming language for learning mathematics
    • Dubinsky, E. (1995). ISETL: A programming language for learning mathematics. Comm. in Pure and Applied Mathematics 48: 1-25.
    • (1995) Comm. in Pure and Applied Mathematics , vol.48 , pp. 1-25
    • Dubinsky, E.1
  • 11
    • 0011445755 scopus 로고
    • Some proposals for reviving the philosophy of mathematics
    • T. Tymoczko (Ed), Boston: Birkhauser
    • Hersh, R. (1986). Some proposals for reviving the philosophy of mathematics. In T. Tymoczko (Ed), New Directions in the Philosophy of Mathematics (pp. 9-28). Boston: Birkhauser.
    • (1986) New Directions in the Philosophy of Mathematics , pp. 9-28
    • Hersh, R.1
  • 12
    • 0004229474 scopus 로고
    • London/New York: Cambridge University Press
    • Lakotos, I. (1976). Proofs and Refutations. London/New York: Cambridge University Press.
    • (1976) Proofs and Refutations
    • Lakotos, I.1
  • 13
    • 85061659351 scopus 로고    scopus 로고
    • The metaphorical structure of mathematics: Sketching out cognitive foundations for a mind-based mathematics
    • L. D. English (Ed), Mahwah, NJ: Erlbaum
    • Lakoff, G. and Nuñez, R. E. (1997). The metaphorical structure of mathematics: Sketching out cognitive foundations for a mind-based mathematics. In L. D. English (Ed), Mathematical Reasoning: Analogies, Metaphors and Images (pp. 21-89). Mahwah, NJ: Erlbaum.
    • (1997) Mathematical Reasoning: Analogies, Metaphors and Images , pp. 21-89
    • Lakoff, G.1    Nuñez, R.E.2
  • 14
    • 0343481972 scopus 로고
    • Mathematical models: A sketch for the philosophy of mathematics
    • MacLane, S. (1981). Mathematical models: A sketch for the philosophy of mathematics. American Mathematical Monthly (Aug.-Sep.), 462-472.
    • (1981) American Mathematical Monthly , Issue.AUG.-SEP , pp. 462-472
    • MacLane, S.1
  • 15
    • 6344259256 scopus 로고    scopus 로고
    • Meaning mathematically with computers
    • P. Bryant and T. Nunes (Eds), Hove, UK: Psychology Press
    • Noss, R. (1997). Meaning mathematically with computers. In P. Bryant and T. Nunes (Eds), Learning and Teaching Mathematics: An International Perspective (pp. 289-314). Hove, UK: Psychology Press.
    • (1997) Learning and Teaching Mathematics: An International Perspective , pp. 289-314
    • Noss, R.1
  • 17
    • 0002447711 scopus 로고
    • Operational origins of mathematical notions and the quandary of reification - The case of function
    • G. Harel and E. Dubinsky (Eds), MAA Notes (25)
    • Sfard, A. (1992). Operational origins of mathematical notions and the quandary of reification - the case of function. In G. Harel and E. Dubinsky (Eds), The Concept of Functions: Aspects of Epistomology and Pedagogy (pp. 59-84). MAA Notes (25).
    • (1992) The Concept of Functions: Aspects of Epistomology and Pedagogy , pp. 59-84
    • Sfard, A.1
  • 18
    • 0002728845 scopus 로고
    • Reification as the birth of metaphor
    • Sfard, A. (1994). Reification as the birth of metaphor. For the Learning of Mathematics 14(1): 44-55.
    • (1994) For the Learning of Mathematics , vol.14 , Issue.1 , pp. 44-55
    • Sfard, A.1
  • 19
    • 85070002284 scopus 로고    scopus 로고
    • Commentary: On metaphorical roots of conceptual growth
    • L. D. English (Ed), Mahwah, NJ: Erlbaum
    • Sfard, A. (1997). Commentary: On metaphorical roots of conceptual growth. In L. D. English (Ed), Mathematical Reasoning: Analogies, Metaphors and Images (pp. 339-371). Mahwah, NJ: Erlbaum.
    • (1997) Mathematical Reasoning: Analogies, Metaphors and Images , pp. 339-371
    • Sfard, A.1
  • 20
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    • Relational understanding and instrumental understanding
    • Skemp, R. (1976). Relational understanding and instrumental understanding. Mathematics Teaching 77: 20-26.
    • (1976) Mathematics Teaching , vol.77 , pp. 20-26
    • Skemp, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.