메뉴 건너뛰기




Volumn 14, Issue 5 SPEC.ISS., 2004, Pages 519-534

Number concept and conceptual change: Towards a systemic model of the processes of change

Author keywords

Certainty; Cognitive distance; Conceptual change; Metacognition; Motivation; Number concept; Tolerance of ambiguity

Indexed keywords


EID: 13844264286     PISSN: 09594752     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.learninstruc.2004.06.016     Document Type: Article
Times cited : (94)

References (56)
  • 1
    • 0003964524 scopus 로고
    • Surpassing ourselves. An inquiry into the nature and implications of expertise
    • Chicago: Open Court
    • Bereiter C. Scardamalia M. Surpassing ourselves. An inquiry into the nature and implications of expertise 1993 Open Court Chicago
    • (1993)
    • Bereiter, C.1    Scardamalia, M.2
  • 2
    • 73049156959 scopus 로고
    • Intolerance of ambiguity as a personality variable
    • Budner S. Intolerance of ambiguity as a personality variable Journal of Personality 30 1962 29-59
    • (1962) Journal of Personality , vol.30 , pp. 29-59
    • Budner, S.1
  • 4
    • 0002431319 scopus 로고
    • Domain-specific knowledge and conceptual change
    • L. Hirsfeld, & S. Gelman (Eds.), Cambridge, MA: Cambridge University Press
    • Carey S. Spelke E. Domain-specific knowledge and conceptual change In Hirsfeld L. & Gelman S. (Eds.) Mapping the mind: Domain specific in cognition and culture 1994 169-200 Cambridge University Press Cambridge, MA
    • (1994) Mapping the Mind: Domain Specific in Cognition and Culture , pp. 169-200
    • Carey, S.1    Spelke, E.2
  • 5
    • 58149410841 scopus 로고
    • Categorization and representation of physics problems by experts and novices
    • Chi M.T.H. Feltovich P. Glaser R.C. Categorization and representation of physics problems by experts and novices Cognitive Science 5 1981 121-125
    • (1981) Cognitive Science , vol.5 , pp. 121-125
    • Chi, M.T.H.1    Feltovich, P.2    Glaser, R.C.3
  • 7
    • 0003150291 scopus 로고
    • From things to process: A theory of conceptual change for learning science concepts
    • Chi M.T.H. Slotta J.D. de Leeuw N. From things to process: A theory of conceptual change for learning science concepts Learning and Instruction 4 1994 27-43
    • (1994) Learning and Instruction , vol.4 , pp. 27-43
    • Chi, M.T.H.1    Slotta, J.D.2    de Leeuw, N.3
  • 8
    • 85084876530 scopus 로고    scopus 로고
    • Mathematics teaching and learning
    • D.C. Berliner, & R.C. Calfee (Eds.), New York: Simon & Schuster Macmillan
    • De Corte E. Greer B. & Verschaffel L. Mathematics teaching and learning In Berliner D.C. & Calfee R.C. (Eds.) Handbook of educational psychology 1996 491-549 Simon & Schuster Macmillan New York
    • (1996) Handbook of Educational Psychology , pp. 491-549
    • De Corte, E.1    Greer, B.2    Verschaffel, L.3
  • 10
    • 0003996797 scopus 로고
    • How we think
    • Boston: Heath
    • Dewey J. How we think 1933 Heath Boston
    • (1933)
    • Dewey, J.1
  • 11
    • 0001940455 scopus 로고
    • Advanced mathematical thinking processes
    • D. Tall (Ed.), Dordrecht: Kluwer Academic Publishers
    • Dreyfus T. Advanced mathematical thinking processes In Tall D. (Ed.) Advanced mathematical thinking 1991 25-41 Kluwer Academic Publishers Dordrecht
    • (1991) Advanced Mathematical Thinking , pp. 25-41
    • Dreyfus, T.1
  • 12
    • 0012066306 scopus 로고    scopus 로고
    • Conceptual change approaches in science education
    • W. Schnotz, S. Vosniadou, & M. Carretero (Eds.), Killington, Oxford: Elsevier Science
    • Duit R. Conceptual change approaches in science education In Schnotz W. Vosniadou S. & Carretero M. (Eds.) New perspectives on conceptual change 1999 263-282 Elsevier Science Killington, Oxford
    • (1999) New Perspectives on Conceptual Change , pp. 263-282
    • Duit, R.1
  • 13
    • 0007277510 scopus 로고    scopus 로고
    • Fostering conceptual change by analogies-between Scylla and Charybdis
    • Duit R. Roth W.-M. Komorek M. & Wilbers J. Fostering conceptual change by analogies-between Scylla and Charybdis Learning and Instruction 11 2001 283-304
    • (2001) Learning and Instruction , vol.11 , pp. 283-304
    • Duit, R.1    Roth, W.-M.2    Komorek, M.3    Wilbers, J.4
  • 17
    • 33744781376 scopus 로고
    • Metacognition and cognitive monitoring. A new area of cognitive-developmental inquiry
    • Flavell J.H. Metacognition and cognitive monitoring. A new area of cognitive-developmental inquiry American Psychologist 34 1979 906-911
    • (1979) American Psychologist , vol.34 , pp. 906-911
    • Flavell, J.H.1
  • 18
    • 84982338249 scopus 로고
    • Intolerance of ambiguity as an emotional perceptual personality variable
    • Frenkel-Brunswik E. Intolerance of ambiguity as an emotional perceptual personality variable Journal of Personality 18 1948 108-143
    • (1948) Journal of Personality , vol.18 , pp. 108-143
    • Frenkel-Brunswik, E.1
  • 19
    • 0026902355 scopus 로고
    • Preverbal and verbal counting and computation
    • Gallistel G.R. & Gelman R. Preverbal and verbal counting and computation Cognition 44 1992 43-74
    • (1992) Cognition , vol.44 , pp. 43-74
    • Gallistel, G.R.1    Gelman, R.2
  • 20
    • 0001217924 scopus 로고
    • Promoting conceptual change in science: A comparative meta-analysis of instructional interventions from reading education and science education
    • Guzzetti B.J. Snyder T.E. Glass G.V. & Gamas W.S. Promoting conceptual change in science: A comparative meta-analysis of instructional interventions from reading education and science education Reading Research Quarterly 28 1993 117-155
    • (1993) Reading Research Quarterly , vol.28 , pp. 117-155
    • Guzzetti, B.J.1    Snyder, T.E.2    Glass, G.V.3    Gamas, W.S.4
  • 21
    • 0001909837 scopus 로고    scopus 로고
    • Definitions and empirical foundations
    • D.J. Hacker, J. Dunlovsky, & A.C. Graesser (Eds.), Hillsdale, NJ: Lawrence Erlbaum Association
    • Hacker D.J. Definitions and empirical foundations In Hacker D.J. Dunlovsky J. & Graesser A.C. (Eds.) Metacognition in educational theory and practice 1998 1-24 Lawrence Erlbaum Association Hillsdale, NJ
    • (1998) Metacognition in Educational Theory and Practice , pp. 1-24
    • Hacker, D.J.1
  • 25
    • 0011823627 scopus 로고
    • Foundations of analysis. The arithmetic of whole, rational, irrational and complex numbers
    • New York: Chelsea Publishing
    • Landau E. Foundations of analysis. The arithmetic of whole, rational, irrational and complex numbers 1951/1960 Chelsea Publishing New York
    • (1951)
    • Landau, E.1
  • 26
    • 0040151959 scopus 로고
    • Motivating students towards planning and controlling of thinking activities. A constructivistic approach to learning
    • Publications of University of Turku ((B. 164))
    • Lehtinen E. Motivating students towards planning and controlling of thinking activities. A constructivistic approach to learning 1984 Publications of University of Turku ((B. 164))
    • (1984)
    • Lehtinen, E.1
  • 27
    • 0042027462 scopus 로고    scopus 로고
    • On the cognitive conflict as an instructional strategy for conceptual change: A critical appraisal
    • Limón M. On the cognitive conflict as an instructional strategy for conceptual change: A critical appraisal Learning and Instruction 11 2001 357-380
    • (2001) Learning and Instruction , vol.11 , pp. 357-380
    • Limón, M.1
  • 28
    • 0042488284 scopus 로고    scopus 로고
    • Conflicting data and conceptual change in history experts
    • W. Schnotz, S. Vosniadou, & M. Carretero (Eds.), Killington, Oxford: Elsevier Science
    • Limón M. & Carretero M. Conflicting data and conceptual change in history experts In Schnotz W. Vosniadou S. & Carretero M. (Eds.) New perspectives on conceptual change 1999 137-160 Elsevier Science Killington, Oxford
    • (1999) New Perspectives on Conceptual Change , pp. 137-160
    • Limón, M.1    Carretero, M.2
  • 29
    • 84929364144 scopus 로고    scopus 로고
    • Achievement goals and intentional conceptual change
    • G.M. Sinatra, & P.R. Pintrich (Eds.), Mahwah, NJ: Lawrence Erlbaum Associates
    • Linnenbrink E.A. & Pintrich P.R. Achievement goals and intentional conceptual change In Sinatra G.M. & Pintrich P.R. (Eds.) Intentional conceptual change 2003 347-374 Lawrence Erlbaum Associates Mahwah, NJ
    • (2003) Intentional Conceptual Change , pp. 347-374
    • Linnenbrink, E.A.1    Pintrich, P.R.2
  • 30
    • 0041817851 scopus 로고    scopus 로고
    • Introducing talk and writing for conceptual change: A classroom study
    • Mason L. Introducing talk and writing for conceptual change: a classroom study Learning and Instruction 11 2001 305-329
    • (2001) Learning and Instruction , vol.11 , pp. 305-329
    • Mason, L.1
  • 31
    • 0034390006 scopus 로고    scopus 로고
    • Writing and conceptual change. What changes?
    • Mason L. & Boscolo P. Writing and conceptual change. What changes? Instructional Science 28 2000 199-226
    • (2000) Instructional Science , vol.28 , pp. 199-226
    • Mason, L.1    Boscolo, P.2
  • 33
    • 13844299872 scopus 로고    scopus 로고
    • Abstracting the density of numbers on the number line. A quasi-experimental study
    • N.A. Pateman, B.J. Dougherty, & J. Zilliox (Eds.), CRDG, College of Education, University of Hawai'i
    • Merenluoto K. Abstracting the density of numbers on the number line. A quasi-experimental study In Pateman N.A. Dougherty B.J. & Zilliox J. (Eds.) Proceedings of the 2003 joint meeting of PME and PMNA 2003 285-292 CRDG, College of Education, University of Hawai'i
    • (2003) Proceedings of the 2003 Joint Meeting of PME and PMNA , pp. 285-292
    • Merenluoto, K.1
  • 34
    • 13844256104 scopus 로고    scopus 로고
    • Conceptual change in mathematics: Understanding the real numbers
    • M. Limón, & L. Mason (Eds.), Dordrecht: Kluwer Academic publishers
    • Merenluoto K. & Lehtinen E. Conceptual change in mathematics: understanding the real numbers In Limón M. & Mason L. (Eds.) Reconsidering conceptual change. Issues in theory and practice 2002 233-258 Kluwer Academic publishers Dordrecht
    • (2002) Reconsidering Conceptual Change. Issues in Theory and Practice , pp. 233-258
    • Merenluoto, K.1    Lehtinen, E.2
  • 35
    • 0004123154 scopus 로고
    • The development of thought. Equilibration of cognitive structures
    • Oxford: Basil Blackwell
    • Piaget J.P. The development of thought. Equilibration of cognitive structures 1978 Basil Blackwell Oxford
    • (1978)
    • Piaget, J.P.1
  • 36
    • 0037946294 scopus 로고    scopus 로고
    • Motivational beliefs as resources for and constraints on conceptual change
    • W. Schnotz, S. Vosniadou, & M. Carretero (Eds.), Oxford: Elsevier Science
    • Pintrich P. Motivational beliefs as resources for and constraints on conceptual change In Schnotz W. Vosniadou S. & Carretero M. (Eds.) New perspectives on conceptual change 1999 33-50 Elsevier Science Oxford
    • (1999) New Perspectives on Conceptual Change , pp. 33-50
    • Pintrich, P.1
  • 37
    • 84970123386 scopus 로고
    • Beyond cold conceptual change: The role of motivational beliefs and classroom contextual factors in the process of conceptual change
    • Pintrich P. Marx R. & Boyle R. Beyond cold conceptual change: the role of motivational beliefs and classroom contextual factors in the process of conceptual change Review of Educational Research 63 1993 167-199
    • (1993) Review of Educational Research , vol.63 , pp. 167-199
    • Pintrich, P.1    Marx, R.2    Boyle, R.3
  • 38
    • 84983946018 scopus 로고
    • Accommodation of a scientific conception: Toward a theory of conceptual change
    • Posner G. Strike K. Hewson P. & Gertzog W. Accommodation of a scientific conception: Toward a theory of conceptual change Science Education 66 1982 211-227
    • (1982) Science Education , vol.66 , pp. 211-227
    • Posner, G.1    Strike, K.2    Hewson, P.3    Gertzog, W.4
  • 40
    • 0002279604 scopus 로고
    • What's all the fuss about metacognition?
    • A. Schoenfeld (Ed.), Hillsdale, NJ: Lawrence Erlbaum Associates
    • Schoenfeld A. What's all the fuss about metacognition? In Schoenfeld A. (Ed.) Cognitive science and mathematics education 1987 191-215 Lawrence Erlbaum Associates Hillsdale, NJ
    • (1987) Cognitive Science and Mathematics Education , pp. 191-215
    • Schoenfeld, A.1
  • 41
    • 0002484521 scopus 로고
    • Uncertainty orientation and persuasion: Individual differences in the effects of personal relevance on social judgments
    • Sorrentino R.M. Bobocel D.R. Gitta M.Z. & Olson J.M. Uncertainty orientation and persuasion: Individual differences in the effects of personal relevance on social judgments Journal of Personality and Social Psychology 55 1988 357-371
    • (1988) Journal of Personality and Social Psychology , vol.55 , pp. 357-371
    • Sorrentino, R.M.1    Bobocel, D.R.2    Gitta, M.Z.3    Olson, J.M.4
  • 43
    • 0026860461 scopus 로고
    • The early development of numerical reasoning
    • Starkey P. The early development of numerical reasoning Cognition 43 1992 93-126
    • (1992) Cognition , vol.43 , pp. 93-126
    • Starkey, P.1
  • 44
    • 0025470831 scopus 로고
    • Numerical abstraction by human infants
    • Starkey P. Spelke E. & Gelman R. Numerical abstraction by human infants Cognition 36 1990 97-127
    • (1990) Cognition , vol.36 , pp. 97-127
    • Starkey, P.1    Spelke, E.2    Gelman, R.3
  • 46
    • 85010652444 scopus 로고    scopus 로고
    • Applying conceptual conflict strategies in the learning of the energy concept
    • Trumper R. Applying conceptual conflict strategies in the learning of the energy concept Research in Science & Technological Education 15 1997 5-19
    • (1997) Research in Science & Technological Education , vol.15 , pp. 5-19
    • Trumper, R.1
  • 47
    • 0036347124 scopus 로고    scopus 로고
    • Comparing infinite sets - A process of abstraction. The case of Ben
    • Tsamir P. & Dreyfus T. Comparing infinite sets - a process of abstraction. The case of Ben The Journal of Mathematical Behavior 21 2002 1-23
    • (2002) The Journal of Mathematical Behavior , vol.21 , pp. 1-23
    • Tsamir, P.1    Dreyfus, T.2
  • 49
    • 7744223509 scopus 로고
    • Capturing and modelling the process of conceptual change
    • Vosniadou S. Capturing and modelling the process of conceptual change Learning and Instruction 4 1994 45-69
    • (1994) Learning and Instruction , vol.4 , pp. 45-69
    • Vosniadou, S.1
  • 50
    • 0001842894 scopus 로고    scopus 로고
    • Conceptual change research: State of art and future directions
    • W. Schnotz, S. Vosniadou, & M. Carretero (Eds.), Oxford: Elsevier Science
    • Vosniadou S. Conceptual change research: State of art and future directions In Schnotz W. Vosniadou S. & Carretero M. (Eds.) New perspectives on conceptual change 1999 3-14 Elsevier Science Oxford
    • (1999) New Perspectives on Conceptual Change , pp. 3-14
    • Vosniadou, S.1
  • 51
    • 85142580947 scopus 로고    scopus 로고
    • Exploring the relationships between conceptual change and intentional learning
    • G.M. Sinatra, & P.R. Pintrich (Eds.), Mahwah, NJ: Lawrence Erlbaum Associates
    • Vosniadou S. Exploring the relationships between conceptual change and intentional learning In Sinatra G.M. & Pintrich P.R. (Eds.) Intentional conceptual change 2003 377-406 Lawrence Erlbaum Associates Mahwah, NJ
    • (2003) Intentional Conceptual Change , pp. 377-406
    • Vosniadou, S.1
  • 52
    • 0000007462 scopus 로고
    • Mental models of the day/night cycle
    • Vosniadou S. Brewer W.F. Mental models of the day/night cycle Cognitive Science 18 1994 123-183
    • (1994) Cognitive Science , vol.18 , pp. 123-183
    • Vosniadou, S.1    Brewer, W.F.2
  • 54
    • 1642426546 scopus 로고
    • The development of academic concepts in school aged children
    • R. Van Der Veer, & J. Valsiner (Eds.), Oxford: Basil Blackwell
    • Vygotsky L. The development of academic concepts in school aged children In Van Der Veer R. & Valsiner J. (Eds.) The Vygotsky reader 1934/1994 355-370 Basil Blackwell Oxford
    • (1934) The Vygotsky Reader , pp. 355-370
    • Vygotsky, L.1
  • 55
    • 0042819943 scopus 로고    scopus 로고
    • "Is heat hot?" Inducing conceptual change by integrating everyday and scientific perspectives on thermal phenomena
    • Wiser M. Amin T. "Is heat hot?" Inducing conceptual change by integrating everyday and scientific perspectives on thermal phenomena Learning and Instruction 11 2001 331-356
    • (2001) Learning and Instruction , vol.11 , pp. 331-356
    • Wiser, M.1    Amin, T.2
  • 56
    • 0004224658 scopus 로고
    • Über gewissheit
    • Oxford: Basil Blackwell
    • Wittgenstein L. Über gewissheit [On certainty] 1969 Basil Blackwell Oxford
    • (1969)
    • Wittgenstein, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.