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Volumn 32, Issue 4, 2001, Pages 341-367

Predications of the Limit Concept: An Application of Repertory Grids

Author keywords

Advanced mathematical thinking; Calculus analysis; Case study methods; College mathematics; Conceptual knowledge

Indexed keywords


EID: 0035594850     PISSN: 00218251     EISSN: None     Source Type: Journal    
DOI: 10.2307/749699     Document Type: Article
Times cited : (41)

References (41)
  • 2
    • 0001141148 scopus 로고
    • Les obstacles épistémologiques et les problèmes en mathématiques
    • Brousseau, G. (1983). Les obstacles épistémologiques et les problèmes en mathématiques. Recherches in didactique des mathématiques, 4(2), 165-198.
    • (1983) Recherches in Didactique des Mathématiques , vol.4 , Issue.2 , pp. 165-198
    • Brousseau, G.1
  • 4
    • 0011675884 scopus 로고
    • Quelques obstacles á l'apprentissage de la notion de limite
    • Cornu, B. (1983). Quelques obstacles á l'apprentissage de la notion de limite. Recherches en Didactique des Mathématiques, 4, 236-268.
    • (1983) Recherches en Didactique des Mathématiques , vol.4 , pp. 236-268
    • Cornu, B.1
  • 5
    • 0347681495 scopus 로고
    • Limits
    • D. O. Tall (Ed.) Dordrecht: Kluwer Academic Publishers
    • Cornu, B. (1991). Limits. In D. O. Tall (Ed.) Advanced mathematical thinking (pp. 153-166). Dordrecht: Kluwer Academic Publishers.
    • (1991) Advanced Mathematical Thinking , pp. 153-166
    • Cornu, B.1
  • 7
    • 0000014423 scopus 로고
    • The notion of limit: Some seemingly unavoidable misconception stages
    • Davis, R. B., & Vinner, S. (1986). The notion of limit: Some seemingly unavoidable misconception stages. Journal of Mathematical Behavior, 5, 281-303.
    • (1986) Journal of Mathematical Behavior , vol.5 , pp. 281-303
    • Davis, R.B.1    Vinner, S.2
  • 8
    • 0002573795 scopus 로고
    • Reflective abstraction in advanced mathematical thinking
    • D. Tall (Ed.), Dordrecht: Kluwer Academic Publishers
    • Dubinsky, E. (1991). Reflective abstraction in advanced mathematical thinking. In D. Tall (Ed.), Advanced mathematical thinking (pp. 95-123). Dordrecht: Kluwer Academic Publishers.
    • (1991) Advanced Mathematical Thinking , pp. 95-123
    • Dubinsky, E.1
  • 9
    • 0022700112 scopus 로고
    • Induction of inference rules for expert systems
    • Gains, B. R., & Shaw, M. L. G. (1986). Induction of inference rules for expert systems. Fuzzy Sets and Systems, 18, 315-328.
    • (1986) Fuzzy Sets and Systems , vol.18 , pp. 315-328
    • Gains, B.R.1    Shaw, M.L.G.2
  • 12
    • 0347681493 scopus 로고
    • Mathematics and learning: Roots of epistemological status
    • J. Lochhead & J. Clement (Eds.), Philadelphia, PA: Franklin Institute Press
    • Kaput, J. J. (1979). Mathematics and learning: Roots of epistemological status. In J. Lochhead & J. Clement (Eds.), Cognitive process instruction: Research on teaching thinking skills (pp. 289-303). Philadelphia, PA: Franklin Institute Press.
    • (1979) Cognitive Process Instruction: Research on Teaching Thinking Skills , pp. 289-303
    • Kaput, J.J.1
  • 17
    • 0000304574 scopus 로고
    • Student understanding of basic calculus concepts: Interaction with the graphics calculator
    • Lauten, A. D., Graham, K., & Ferrini-Mundy, J. (1994). Student understanding of basic calculus concepts: Interaction with the graphics calculator. Journal of Mathematical Behavior, 13, 225-237.
    • (1994) Journal of Mathematical Behavior , vol.13 , pp. 225-237
    • Lauten, A.D.1    Graham, K.2    Ferrini-Mundy, J.3
  • 18
    • 0346420419 scopus 로고
    • Inferring conceptual structure with personal construct psychology and fuzzy logic
    • New Orleans, April
    • Lehrer, R., & Koedinger, K. (1989). Inferring conceptual structure with personal construct psychology and fuzzy logic. Revision of a paper presented at the annual meeting of the American Educational Research Association, New Orleans, April 1988.
    • (1988) Annual Meeting of the American Educational Research Association
    • Lehrer, R.1    Koedinger, K.2
  • 19
    • 0347681432 scopus 로고
    • Applying personal construct psychology to the study of teachers' knowledge of fractions
    • Lehrer, R., & Franke, M. L. (1992). Applying personal construct psychology to the study of teachers' knowledge of fractions. Journal for Research in Mathematics Education, 23, 223-241.
    • (1992) Journal for Research in Mathematics Education , vol.23 , pp. 223-241
    • Lehrer, R.1    Franke, M.L.2
  • 21
    • 21844516655 scopus 로고
    • A study of intrinsic motivation in the mathematics classroom: A personal construct approach
    • Middleton, J. A. (1995). A study of intrinsic motivation in the mathematics classroom: A personal construct approach. Journal for Research in Mathematics Education, 26, 254-279.
    • (1995) Journal for Research in Mathematics Education , vol.26 , pp. 254-279
    • Middleton, J.A.1
  • 22
    • 22644451509 scopus 로고    scopus 로고
    • Curricular influences on the motivational beliefs and practice of two middle school mathematics teachers: A follow-up study
    • Middleton, J. A. (1999). Curricular influences on the motivational beliefs and practice of two middle school mathematics teachers: a follow-up study. Journal for Research in Mathematics Education, 30, 349-358.
    • (1999) Journal for Research in Mathematics Education , vol.30 , pp. 349-358
    • Middleton, J.A.1
  • 23
    • 0347050790 scopus 로고
    • Problems with the language of limits
    • Monaghan, J. (1991). Problems with the language of limits. For the Learning of Mathematics, 11(3), 20-24.
    • (1991) For the Learning of Mathematics , vol.11 , Issue.3 , pp. 20-24
    • Monaghan, J.1
  • 26
    • 0011545359 scopus 로고
    • L'Acquisition de la notion de convergence des suites numériques dans l'enseignement supérieur
    • Robert, A. (1982). L'Acquisition de la notion de convergence des suites numériques dans l'enseignement supérieur. Recherches en Didactique des Mathématiques, 3(3), 307-341.
    • (1982) Recherches en Didactique des Mathématiques , vol.3 , Issue.3 , pp. 307-341
    • Robert, A.1
  • 27
    • 0016779076 scopus 로고
    • Psychological science as a humanist views it
    • W. J. Arnold (Ed.), Lincoln, NE: University of Nebraska Press
    • Rychlak, J. F. (1975). Psychological science as a humanist views it. In W. J. Arnold (Ed.), Nebraska Symposium on Motivation 1975: Conceptual foundations of psychology (pp. 205-280). Lincoln, NE: University of Nebraska Press.
    • (1975) Nebraska Symposium on Motivation 1975: Conceptual Foundations of Psychology , pp. 205-280
    • Rychlak, J.F.1
  • 31
    • 0000491446 scopus 로고
    • Additive similarity trees
    • Sattath, S., & Tversky, A. (1977). Additive similarity trees. Psychometrika, 42, 319-345.
    • (1977) Psychometrika , vol.42 , pp. 319-345
    • Sattath, S.1    Tversky, A.2
  • 32
    • 0347050792 scopus 로고
    • Conflicts in the learning of real numbers and limits
    • Schwarzenberger, R. L. E., & Tall, D. O. (1978). Conflicts in the learning of real numbers and limits. Mathematics Teaching, 82, 44-49.
    • (1978) Mathematics Teaching , vol.82 , pp. 44-49
    • Schwarzenberger, R.L.E.1    Tall, D.O.2
  • 33
    • 0346420421 scopus 로고
    • Obstacles épistémologiques relatifs à la notion de limite
    • Sierpinska, A. (1985). Obstacles épistémologiques relatifs à la notion de limite. Recherches en Didactiques des Mathématiques, 6(1), 5-67.
    • (1985) Recherches en Didactiques des Mathématiques , vol.6 , Issue.1 , pp. 5-67
    • Sierpinska, A.1
  • 34
    • 0000935350 scopus 로고
    • Humanities students and epistemological obstacles related to limits
    • Sierpinska, A. (1987). Humanities students and epistemological obstacles related to limits. Educational Studies in Mathematics, 18, 371-87.
    • (1987) Educational Studies in Mathematics , vol.18 , pp. 371-387
    • Sierpinska, A.1
  • 35
    • 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
  • 36
    • 23044518360 scopus 로고    scopus 로고
    • Mathematical beliefs and conceptual understanding of the limit of a function
    • Szydlik, J. E. (2000). Mathematical beliefs and conceptual understanding of the limit of a function. Journal for Research in Mathem.atics Education, 31(3), 258-276.
    • (2000) Journal for Research in Mathem.atics Education , vol.31 , Issue.3 , pp. 258-276
    • Szydlik, J.E.1
  • 37
    • 0000213855 scopus 로고
    • Concept image and concept definition in mathematics, with particular reference to limits and continuity
    • Tall, D. O., & Vinner, S. (1981). Concept image and concept definition in mathematics, with particular reference to limits and continuity. Educational Studies in Mathematics, 12, 151-169.
    • (1981) Educational Studies in Mathematics , vol.12 , pp. 151-169
    • Tall, D.O.1    Vinner, S.2
  • 38
    • 0345789447 scopus 로고
    • The role of students' intuitions of infinity in teaching the Cantorial theory
    • D. O. Tall (Ed.) Dordrecht: Kluwer Academic Publishers
    • Tirosh, D. (1991). The role of students' intuitions of infinity in teaching the Cantorial theory. In D. O. Tall (Ed.) Advanced mathematical thinking (pp. 199-214). Dordrecht: Kluwer Academic Publishers.
    • (1991) Advanced Mathematical Thinking , pp. 199-214
    • Tirosh, D.1


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