메뉴 건너뛰기




Volumn 358, Issue 1435, 2003, Pages 1225-1230

Abstraction in mathematics

Author keywords

Decontextualization; Generalization; Reification

Indexed keywords

COGNITION; MATHEMATICAL ANALYSIS;

EID: 0042347765     PISSN: 09628436     EISSN: None     Source Type: Journal    
DOI: 10.1098/rstb.2003.1316     Document Type: Review
Times cited : (41)

References (17)
  • 1
    • 65749309429 scopus 로고
    • Reminiscences from Hilbert's Göttingen
    • Courant, R. 1981 Reminiscences from Hilbert's Göttingen. Math. Intelligencer 3, 154-164.
    • (1981) Math. Intelligencer , vol.3 , pp. 154-164
    • Courant, R.1
  • 2
    • 0001940455 scopus 로고
    • Advanced mathematical thinking processes
    • ed. D. Tall. Dordrecht, The Netherlands: Kluwer
    • Dreyfus, T. 1991 Advanced mathematical thinking processes. In Advanced mathematical thinking (ed. D. Tall), pp. 25-41. Dordrecht, The Netherlands: Kluwer.
    • (1991) Advanced Mathematical Thinking , pp. 25-41
    • Dreyfus, T.1
  • 4
    • 0002573795 scopus 로고
    • Reflective abstraction in advanced mathematical thinking
    • ed. D. Tall. Dordrecht, The Netherlands: Kluwer
    • Dubinsky, E. 1991 Reflective abstraction in advanced mathematical thinking. In Advanced mathematical thinking (ed. D. Tall), pp. 95-123. Dordrecht, The Netherlands: Kluwer.
    • (1991) Advanced Mathematical Thinking , pp. 95-123
    • Dubinsky, E.1
  • 7
    • 0002549333 scopus 로고
    • The role of conceptual entities and their symbols in building advanced mathematical concepts
    • ed. D. Tall. Dordrecht, The Netherlands: Kluwer
    • Harel, G. & Kaput, J. 1991 The role of conceptual entities and their symbols in building advanced mathematical concepts. In Advanced mathematical thinking (ed. D. Tall), pp. 82-94. Dordrecht, The Netherlands: Kluwer.
    • (1991) Advanced Mathematical Thinking , pp. 82-94
    • Harel, G.1    Kaput, J.2
  • 9
    • 0041744725 scopus 로고
    • Conceptual analyses of mathematical ideas and problem solving processes
    • Noorwijkerhout, The Netherlands, ed. L. Streefland
    • Lesh, R. 1985 Conceptual analyses of mathematical ideas and problem solving processes. In Proc. 9th Conf. Int. Group for the Psychology of Mathematics Education, Noorwijkerhout, The Netherlands, vol. 1 (ed. L. Streefland), pp. 73-96.
    • (1985) Proc. 9th Conf. Int. Group for the Psychology of Mathematics Education , vol.1 , pp. 73-96
    • Lesh, R.1
  • 10
    • 0010050543 scopus 로고
    • Generic examples: Seeing the general in the particular
    • Mason, J. & Pimm, D. 1984 Generic examples: seeing the general in the particular. Educational Stud. Math. 15, 277-289.
    • (1984) Educational Stud. Math. , vol.15 , pp. 277-289
    • Mason, J.1    Pimm, D.2
  • 13
    • 0002464572 scopus 로고    scopus 로고
    • Symbolizing mathematical reality into being: Or how mathematical discourse and mathematical objects create each other
    • ed. P. Cobb, E. Yackel & K. McClain. New York: Lawrence Erlbaum Associates
    • Sfard, A. 2000 Symbolizing mathematical reality into being: or how mathematical discourse and mathematical objects create each other. In Symbolizing and communicating in mathematics classrooms (ed. P. Cobb, E. Yackel & K. McClain), pp. 47-84. New York: Lawrence Erlbaum Associates.
    • (2000) Symbolizing and Communicating in Mathematics Classrooms , pp. 47-84
    • Sfard, A.1
  • 14
    • 24944477378 scopus 로고
    • The gains and the pitfalls of reification: The case of algebra
    • Sfard, A. & Linchevski, L. 1994 The gains and the pitfalls of reification: the case of algebra. Educational Stud. Math. 26, 191-228.
    • (1994) Educational Stud. Math. , vol.26 , pp. 191-228
    • Sfard, A.1    Linchevski, L.2
  • 15
    • 79953948114 scopus 로고
    • La grammatica dell'algebra: Contributo alla psicologia del linguaggio matematico
    • Vailati, G. 1908 La grammatica dell'algebra: contributo alla psicologia del linguaggio matematico. Rivista di psicologia applicata.
    • (1908) Rivista di Psicologia Applicata
    • Vailati, G.1
  • 17
    • 21444440363 scopus 로고    scopus 로고
    • Divisibility and multiplicative structure of natural numbers: Preservice teachers' understanding
    • Zazkis, R. & Campbell, S. 1996 Divisibility and multiplicative structure of natural numbers: preservice teachers' understanding. J. Res. Math. Education 27, 540-563.
    • (1996) J. Res. Math. Education , vol.27 , pp. 540-563
    • Zazkis, R.1    Campbell, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.