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Volumn 48, Issue 2-3, 2001, Pages 239-257

Young peoples' ideas of infinity

Author keywords

Infinity; Pre university; Research methods

Indexed keywords


EID: 21244444359     PISSN: 00131954     EISSN: 15730816     Source Type: Journal    
DOI: 10.1023/A:1016090925967     Document Type: Article
Times cited : (52)

References (27)
  • 2
    • 0347681495 scopus 로고
    • Limits
    • D. Tall (ed.), Kluwer Academic, Dordrecht
    • Cornu, B.: 1991, 'Limits', in D. Tall (ed.), Advanced Mathematical Thinking, Kluwer Academic, Dordrecht, pp. 153-166.
    • (1991) Advanced Mathematical Thinking , pp. 153-166
    • Cornu, B.1
  • 3
    • 34250224689 scopus 로고
    • A review of research related to the topological primacy thesis
    • Darke, I.: 1982, 'A review of research related to the topological primacy thesis', Educational Studies in Mathematics 13, 119-142.
    • (1982) Educational Studies in Mathematics , vol.13 , pp. 119-142
    • Darke, I.1
  • 4
    • 0002573795 scopus 로고
    • Reflective abstraction in advanced mathematical thinking
    • D.Tall (ed.), Kluwer, Dordrecht
    • Dubinsky, E.: 1991, 'Reflective abstraction in advanced mathematical thinking, in D.Tall (ed.), Advanced Mathematical Thinking, Kluwer, Dordrecht, pp. 95-123.
    • (1991) Advanced Mathematical Thinking , pp. 95-123
    • Dubinsky, E.1
  • 6
    • 0003419686 scopus 로고
    • The concept of rational numbers in high school students and prospective teachers
    • Fischbein, E., Jehiam, R. and Cohen, D.: 1995, 'The concept of rational numbers in high school students and prospective teachers', Educational Studies in Mathematics 29, 29-44.
    • (1995) Educational Studies in Mathematics , vol.29 , pp. 29-44
    • Fischbein, E.1    Jehiam, R.2    Cohen, D.3
  • 7
    • 52549098484 scopus 로고
    • Preprint available from the author, Department of Psychology, The Hebrew University, Jerusalem
    • Falk, R.: 1992, Infinity: A Cognitive Challenge, Preprint available from the author, Department of Psychology, The Hebrew University, Jerusalem.
    • (1992) Infinity: A Cognitive Challenge
    • Falk, R.1
  • 9
    • 21344483370 scopus 로고
    • Duality, ambiguity, and flexibility: A "proceptual" view of simple arithmetic
    • Gray, E. and Tall, D.: 1994, 'Duality, ambiguity, and flexibility: A "proceptual" view of simple arithmetic', Journal for Research in Mathematics Education 25(2), 116-134.
    • (1994) Journal for Research in Mathematics Education , vol.25 , Issue.2 , pp. 116-134
    • Gray, E.1    Tall, D.2
  • 12
    • 52549116101 scopus 로고
    • Cauchy and the continuum: The significance of non-standard analysis for the history and philosophy of mathematics
    • Lakatos, I.: 1978, 'Cauchy and the continuum: The significance of non-standard analysis for the history and philosophy of mathematics', Mathematical Intelligencer 1(3), 151-161.
    • (1978) Mathematical Intelligencer , vol.1 , Issue.3 , pp. 151-161
    • Lakatos, I.1
  • 14
    • 0347620862 scopus 로고
    • Unpublished PhD thesis, Mathematics Education Research Centre, University of Warwick, UK
    • Monaghan, J.: 1986, Adolescents' Understanding of Limits and Infinity, Unpublished PhD thesis, Mathematics Education Research Centre, University of Warwick, UK.
    • (1986) Adolescents' Understanding of Limits and Infinity
    • Monaghan, J.1
  • 15
    • 24944460154 scopus 로고
    • The conceptual evolution of actual mathematical infinity
    • Moreno, L. and Waldegg, G.: 1991, 'The conceptual evolution of actual mathematical infinity', Educational Studies in Mathematics 22, 211-231.
    • (1991) Educational Studies in Mathematics , vol.22 , pp. 211-231
    • Moreno, L.1    Waldegg, G.2
  • 18
  • 19
    • 0004249748 scopus 로고
    • Routledge and Kegan Paul, London, (originally published in 1966)
    • Piaget, J. and Inhelder, B.: 1969, The Psychology of the Child, Routledge and Kegan Paul, London, (originally published in 1966).
    • (1969) The Psychology of the Child
    • Piaget, J.1    Inhelder, B.2
  • 22
    • 52549099028 scopus 로고    scopus 로고
    • Students shifting conceptions of the infinite through computer explorations of fractals and other visual models
    • The Freudenthal Institute, Utrecht
    • Sacristán Rock, A.: 2001, 'Students shifting conceptions of the infinite through computer explorations of fractals and other visual models', in Vol. 4 of the Proceedings of the 25th Conference of the International Group for the Psychology of Mathematics Education, The Freudenthal Institute, Utrecht, pp. 129-136.
    • (2001) Proceedings of the 25th Conference of the International Group for the Psychology of Mathematics Education , vol.4 , pp. 129-136
    • Sacristán Rock, A.1
  • 23
    • 0002546637 scopus 로고
    • On the dual nature of mathematical conceptions: Reflections on processes and objects as different sides of the same coin
    • Sfard, A.: 1991, 'On the dual nature of mathematical conceptions: Reflections on processes and objects as different sides of the same coin', Educational Studies in Mathematics 22, 1-36.
    • (1991) Educational Studies in Mathematics , vol.22 , pp. 1-36
    • Sfard, A.1
  • 25
    • 52549095469 scopus 로고
    • The child's concept of limit
    • M. Rosskopf (ed.), Teachers College Press, New York
    • Taback, S.: 1975, 'The child's concept of limit', in M. Rosskopf (ed.), Children's Mathematical Concepts, Teachers College Press, New York, pp. 111-144.
    • (1975) Children's Mathematical Concepts , pp. 111-144
    • Taback, S.1
  • 26
    • 0346359943 scopus 로고
    • The notion of infinite measuring number and its relevance in the intuition of infinity
    • Tall, D.: 1980, 'The notion of infinite measuring number and its relevance in the intuition of infinity', Educational Studies in Mathematics 11, 271-284.
    • (1980) Educational Studies in Mathematics , vol.11 , pp. 271-284
    • Tall, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.