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Volumn 36, Issue 3, 1998, Pages 219-245

The roles of reification and reflective abstraction in the development of abstract thought: Transitions from arithmetic to algebra

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EID: 54649084690     PISSN: 00131954     EISSN: 15730816     Source Type: Journal    
DOI: 10.1023/A:1003473509628     Document Type: Article
Times cited : (26)

References (19)
  • 1
    • 54749143015 scopus 로고
    • (PMDC Technical Report No. 3). Tallahassee: Florida State University. (ERIC Document Reproduction Service No. ED 144802)
    • Behr, M., Erlwanger, S., and Nichols, E.: 1976, How children view equality sentences (PMDC Technical Report No. 3). Tallahassee: Florida State University. (ERIC Document Reproduction Service No. ED 144802).
    • (1976) How Children View Equality Sentences
    • Behr, M.1    Erlwanger, S.2    Nichols, E.3
  • 3
    • 52849088887 scopus 로고
    • Clinical interviewing in the context of research programs
    • G. Lappan and R. Even (eds.). East Lansing: Michigan State University
    • Cobb, P.: 1986, 'Clinical interviewing in the context of research programs: In G. Lappan and R. Even (eds.), Proceedings of the eight annual meeting of PME-NA: Plenary speeches and symposium (pp. 20-26). East Lansing: Michigan State University.
    • (1986) Proceedings of the Eight Annual Meeting of PME-NA: Plenary Speeches and Symposium , pp. 20-26
    • Cobb, P.1
  • 4
    • 54749134807 scopus 로고
    • Paper presented at the Psychology of Mathematics Workshop, Centre for Science Education, Chelsea College, London
    • Collis, K. P.: 1974, Cognitive development and mathematics learning. Paper presented at the Psychology of Mathematics Workshop, Centre for Science Education, Chelsea College, London.
    • (1974) Cognitive Development and Mathematics Learning
    • Collis, K.P.1
  • 7
    • 0009257532 scopus 로고
    • Solving equations: The transition from arithmetic to algebra
    • Filloy, E., and Rojano, T: 1989, 'Solving equations: The transition from arithmetic to algebra.' For the Learning of Mathematics 9(2), 19-25.
    • (1989) For the Learning of Mathematics , vol.9 , Issue.2 , pp. 19-25
    • Filloy, E.1    Rojano, T.2
  • 9
    • 54749154560 scopus 로고
    • A constructivist model of the transition from arithmetic to algebra: Problem solving in the context of linear inequality
    • Doctoral dissertation, Vanderbilt University, 1994
    • Goodson-Espy, T. J.: 1994, 'A constructivist model of the transition from arithmetic to algebra: Problem solving in the context of linear inequality' (Doctoral dissertation, Vanderbilt University, 1994). Dissertation Abstracts International.
    • (1994) Dissertation Abstracts International
    • Goodson-Espy, T.J.1
  • 11
    • 0001071316 scopus 로고
    • Concepts associated with the equality symbol
    • Kieran, C: 1981, 'Concepts associated with the equality symbol,' Educational Studies in Mathematics 12, 317-326.
    • (1981) Educational Studies in Mathematics , vol.12 , pp. 317-326
    • Kieran, C.1
  • 14
    • 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
  • 15
    • 24944477378 scopus 로고
    • The gains and pitfalls of reification - The case of algebra
    • Sfard, A., and Linchevski, L.: 1994, 'The gains and pitfalls of reification - The case of algebra,' Educational Studies in Mathematics 26, 191-228.
    • (1994) Educational Studies in Mathematics , vol.26 , pp. 191-228
    • Sfard, A.1    Linchevski, L.2
  • 16
    • 0043241224 scopus 로고
    • On the knowledge of mathematics teachers
    • N. Noddings, C. Maher and R. Davis (eds.). Reston, VA NCTM
    • Steffe, L. P.: 1990, On the knowledge of mathematics teachers. In N. Noddings, C. Maher and R. Davis (eds.), Constructivist views on the teaching and learning of mathematics (pp. 167-184). Reston, VA NCTM.
    • (1990) Constructivist Views on the Teaching and Learning of Mathematics , pp. 167-184
    • Steffe, L.P.1
  • 18
    • 0001784057 scopus 로고
    • Abstraction, re-presentation, and reflection
    • L. Steffe (ed.). New York: Springer Verlag
    • Von Glasersfeld, E.: 1991, Abstraction, re-presentation, and reflection: In L. Steffe (ed.), Epistemological foundations of mathematical experience (pp. 45-67). New York: Springer Verlag.
    • (1991) Epistemological Foundations of Mathematical Experience , pp. 45-67
    • Von Glasersfeld, E.1


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