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Volumn 20, Issue 1, 2001, Pages 43-53

Mathematical problem solving in didactic institutions as a complex system: The case of elementary calculus

Author keywords

Conceptualization; Developmental psychology; Didactic contract; Mathematics learning; Problem solving; Social cognition

Indexed keywords


EID: 0041870769     PISSN: 07323123     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0732-3123(01)00061-X     Document Type: Article
Times cited : (5)

References (29)
  • 1
    • 2342591102 scopus 로고
    • Analysis
    • D. Tall. Dordrecht: Kluwer Academic Publishing
    • Artigue M. Analysis. Tall D. Advanced mathematical thinking. 1991;19-31 Kluwer Academic Publishing, Dordrecht.
    • (1991) Advanced Mathematical Thinking , pp. 19-31
    • Artigue, M.1
  • 3
    • 0042179852 scopus 로고    scopus 로고
    • L' évolution des problématiques en didactique de l'analyse
    • Artigue M. L' évolution des problématiques en didactique de l'analyse. Recherches en Didactique des Mathématiques. 18(2):1998;231-261.
    • (1998) Recherches en Didactique des Mathématiques , vol.18 , Issue.2 , pp. 231-261
    • Artigue, M.1
  • 4
    • 0038140209 scopus 로고    scopus 로고
    • Formalizing the gene centered view of evolution
    • Bar-Yam Y. Formalizing the gene centered view of evolution. Advances in Complex Systems. 2:1999;277-281.
    • (1999) Advances in Complex Systems , vol.2 , pp. 277-281
    • Bar-Yam, Y.1
  • 5
    • 0000064913 scopus 로고    scopus 로고
    • A student's construction of transformations of functions in a multiple representational environment
    • Borda M.C., Confrey J. A student's construction of transformations of functions in a multiple representational environment. Educational Studies in Mathematics. 31:1996;319-337.
    • (1996) Educational Studies in Mathematics , vol.31 , pp. 319-337
    • Borda, M.C.1    Confrey, J.2
  • 6
    • 0005209674 scopus 로고    scopus 로고
    • Apprentissage et développement: Tensions dans la zone proximale
    • Y. Clot. Paris: La Dispute
    • Brossard M. Apprentissage et développement: tensions dans la zone proximale. Clot Y. Avec Vygotski. 1999;209-220 La Dispute, Paris.
    • (1999) Avec Vygotski , pp. 209-220
    • Brossard, M.1
  • 7
    • 0042179861 scopus 로고    scopus 로고
    • Fondements et méthodes de la didactique des mathématiques
    • J. Brun. Lausanne: Delachaux et Nieslté
    • Brousseau G. Fondements et méthodes de la didactique des mathématiques. Brun J. Didactique des mathématiques. 1996;45-143 Delachaux et Nieslté Lausanne.
    • (1996) Didactique des Mathématiques , pp. 45-143
    • Brousseau, G.1
  • 8
    • 21844504051 scopus 로고
    • Splitting, covariation, and their role in the development of exponential functions
    • Confrey J., Smith E. Splitting, covariation, and their role in the development of exponential functions. Journal for Research in Mathematics Education. 26:1995;66-86.
    • (1995) Journal for Research in Mathematics Education , vol.26 , pp. 66-86
    • Confrey, J.1    Smith, E.2
  • 9
    • 0042663375 scopus 로고
    • Advanced mathematical thinking
    • A.G. Howson, & J.-P. Kahane. Cambridge: Cambridge Univ. Press
    • Dreyfus T. Advanced mathematical thinking. Howson A.G., Kahane J.-P. Mathematics and cognition. 1990;113-134 Cambridge Univ. Press, Cambridge.
    • (1990) Mathematics and Cognition , pp. 113-134
    • Dreyfus, T.1
  • 10
    • 21144469530 scopus 로고
    • Subject-matter knowledge and pedagogical content knowledge: Prospective secondary teachers and the function concept
    • Even R. Subject-matter knowledge and pedagogical content knowledge: prospective secondary teachers and the function concept. Journal for Research in Mathematics Education. 24:1993;94-116.
    • (1993) Journal for Research in Mathematics Education , vol.24 , pp. 94-116
    • Even, R.1
  • 11
    • 0040842532 scopus 로고    scopus 로고
    • Didactique professionnelle et développement
    • Pastré P. Didactique professionnelle et développement. Psychologie Française. 42(1):1997;89-100.
    • (1997) Psychologie Française , vol.42 , Issue.1 , pp. 89-100
    • Pastré, P.1
  • 12
    • 0002010262 scopus 로고
    • The psychogenesis of knowledge and its epistemological significance
    • M. Piattelli-Palmarini. Cambridge: Harvard Univ. Press
    • Piaget J. The psychogenesis of knowledge and its epistemological significance. Piattelli-Palmarini M. Language and learning: the debate between Jean Piaget and Noam Chomsky. 1980;23-34 Harvard Univ. Press, Cambridge.
    • (1980) Language and Learning: The Debate between Jean Piaget and Noam Chomsky , pp. 23-34
    • Piaget, J.1
  • 13
    • 0043182061 scopus 로고    scopus 로고
    • Constructions historique, didactique et conceptuelle de la forme f(a+h)=f(a)+h*f′(a)+h*fi(h): Vers une analyse désubstancialisée?
    • Grenoble, France
    • Pichat, M. (2000). Constructions historique, didactique et conceptuelle de la forme f(a+h)=f(a)+h*f′(a)+h*fi(h): Vers une analyse désubstancialisée? Paper presented at the Colloque Enseigner les Mathématiques Autrement, Grenoble, France.
    • (2000) Paper Presented at the Colloque Enseigner Les Mathématiques Autrement
    • Pichat, M.1
  • 14
  • 18
    • 33644892057 scopus 로고
    • On learning the rate of instantaneous change
    • Schneider M. On learning the rate of instantaneous change. Educational Studies in Mathematics. 23:1992;317-350.
    • (1992) Educational Studies in Mathematics , vol.23 , pp. 317-350
    • Schneider, M.1
  • 21
    • 0000993778 scopus 로고
    • New action upon old objects: A new ontological perspective on functions
    • Schwarz B., Dreyfus T. New action upon old objects: a new ontological perspective on functions. Educational Studies in Mathematics. 29:1995;259-291.
    • (1995) Educational Studies in Mathematics , vol.29 , pp. 259-291
    • Schwarz, B.1    Dreyfus, T.2
  • 22
    • 0013500969 scopus 로고    scopus 로고
    • Functions and calculus
    • A.J. Bishop, K. Clements, C. Keitel, J. Kilpatrick, & C. Laborde. Dordrecht: Kluwer Academic Publishing
    • Tall D. Functions and calculus. Bishop A.J., Clements K., Keitel C., Kilpatrick J., Laborde C. International handbook of mathematics education. 1997;289-325 Kluwer Academic Publishing, Dordrecht.
    • (1997) International Handbook of Mathematics Education , pp. 289-325
    • Tall, D.1
  • 23
    • 0040620380 scopus 로고
    • Cognitive and developmental psychology and research in mathematics education
    • Vergnaud G. Cognitive and developmental psychology and research in mathematics education. For the Learning of Mathematics. 32:1982;31-41.
    • (1982) For the Learning of Mathematics , vol.32 , pp. 31-41
    • Vergnaud, G.1
  • 24
    • 0042681044 scopus 로고    scopus 로고
    • Algebra, additive and multiplicative structures: Is there any coherence at the early secondary level?
    • Bodebrady, Norway
    • Vergnaud, G. (1997). Algebra, additive and multiplicative structures: is there any coherence at the early secondary level? Paper presented at the European research conference on mathematics education, Bodebrady, Norway.
    • (1997) Paper Presented at the European Research Conference on Mathematics Education
    • Vergnaud, G.1
  • 25
    • 33947713775 scopus 로고    scopus 로고
    • Toward a cognitive theory of practice
    • A. Sierpinska, & J. Kilpatrick. Dordrecht: Kluwer Academic Publishing
    • Vergnaud G. Toward a cognitive theory of practice. Sierpinska A., Kilpatrick J. Mathematics education as a research domain: a search for identity. 1998;67-72 Kluwer Academic Publishing, Dordrecht.
    • (1998) Mathematics Education As a Research Domain: A Search for Identity , pp. 67-72
    • Vergnaud, G.1
  • 26
    • 0032324612 scopus 로고    scopus 로고
    • A comprehensive theory of representation of mathematics education
    • Vergnaud G. A comprehensive theory of representation of mathematics education. Journal of Mathematical Behavior. 17:1999;167-181.
    • (1999) Journal of Mathematical Behavior , vol.17 , pp. 167-181
    • Vergnaud, G.1
  • 29
    • 21344485261 scopus 로고
    • One preservice secondary teacher's understanding of functions: The impact of a course integrating mathematical content and pedagogy
    • Wilson M.R. One preservice secondary teacher's understanding of functions: the impact of a course integrating mathematical content and pedagogy. Journal for Research in Mathematics Education. 25:1994;346-370.
    • (1994) Journal for Research in Mathematics Education , vol.25 , pp. 346-370
    • Wilson, M.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.