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Volumn 22, Issue 3, 2003, Pages 237-295

Fractional commensurate, composition, and adding schemes. Learning trajectories of Jason and Laura: Grade 5

Author keywords

Fractions; Learning trajectories; Schemes; Teaching experiment

Indexed keywords


EID: 0042881175     PISSN: 07323123     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0732-3123(03)00022-1     Document Type: Article
Times cited : (53)

References (26)
  • 1
    • 0041550333 scopus 로고
    • World mirroring versus world making: There's gotta be a better way
    • L.. P. Steffe, & J. Gale (Eds.), Hillsdale, NJ: Lawrence Erlbaum
    • Bickhard, M. H. (1995). World mirroring versus world making: there's gotta be a better way. In: L. P. Steffe, & J. Gale (Eds.), Constructivism in education (pp. 229-267). Hillsdale, NJ: Lawrence Erlbaum.
    • (1995) Constructivism in Education , pp. 229-267
    • Bickhard, M.H.1
  • 3
    • 0002828633 scopus 로고
    • How compatible are radical constructivism, sociocultural approaches, and social constructivism
    • L. P. Steffe, & J. Gale (Eds.), Hillsdale, NJ: Lawrence Erlbaum
    • Confrey, J. (1995). How compatible are radical constructivism, sociocultural approaches, and social constructivism. In: L. P. Steffe, & J. Gale (Eds.), Constructivism in education (pp. 185-225). Hillsdale, NJ: Lawrence Erlbaum.
    • (1995) Constructivism in Education , pp. 185-225
    • Confrey, J.1
  • 4
    • 0008773680 scopus 로고
    • The rational number construct - Its elements and mechanisms
    • T. E. Kieren (Ed.), Columbus, OH
    • Kieren, T. (1980). The rational number construct - its elements and mechanisms. In: T. E. Kieren (Ed.), Recent research on number learning (pp. 125-149). Columbus, OH: ERIC/SMEAC, 1493
    • (1980) Recent Research on Number Learning , pp. 125-149
    • Kieren, T.1
  • 5
    • 21344467768 scopus 로고    scopus 로고
    • Intersubjectivity in mathematics learning: A challenge to the radical constructivist paradigm?
    • Lerman S.Intersubjectivity in mathematics learning: a challenge to the radical constructivist paradigm? Journal for Research in Mathematics Education 27 1996 133 150
    • (1996) Journal for Research in Mathematics Education , vol.27 , pp. 133-150
    • Lerman, S.1
  • 7
    • 0004323850 scopus 로고
    • Studies in reflecting abstraction
    • Philadelphia, PA: Taylor and Francis (R. Campbell, Editor and Translator)
    • Piaget, J. (1977/2001). Studies in reflecting abstraction. Philadelphia, PA: Taylor and Francis (R. Campbell, Editor and Translator).
    • (1977)
    • Piaget, J.1
  • 9
    • 21844497993 scopus 로고
    • Elaborating models of mathematics teaching: A response to Steffe and D'Ambrosio
    • Simon M.Elaborating models of mathematics teaching: a response to Steffe and D'Ambrosio Journal for Research in Mathematics Education 262 1995a 160 162
    • (1995) Journal for Research in Mathematics Education , vol.26 , Issue.2 , pp. 160-162
    • Simon, M.1
  • 10
    • 21844488292 scopus 로고
    • Reconstructing mathematics pedagogy from a constructivist perspective
    • Simon M.Reconstructing mathematics pedagogy from a constructivist perspective Journal for Research in Mathematics Education 262 1995b 114 145
    • (1995) Journal for Research in Mathematics Education , vol.26 , Issue.2 , pp. 114-145
    • Simon, M.1
  • 11
    • 38249013863 scopus 로고
    • Schemes of action and operation involving composite units
    • Steffe L.P.Schemes of action and operation involving composite units Learning and Individual Differences 43 1992 259 309
    • (1992) Learning and Individual Differences , vol.4 , Issue.3 , pp. 259-309
    • Steffe, L.P.1
  • 12
    • 0002660282 scopus 로고    scopus 로고
    • Individual constructive activity: An experimental analysis
    • Steffe L.P.Individual constructive activity: an experimental analysis Cybernetics and Human Knowing 61 1999 17 31
    • (1999) Cybernetics and Human Knowing , vol.6 , Issue.1 , pp. 17-31
    • Steffe, L.P.1
  • 13
    • 0009596605 scopus 로고    scopus 로고
    • A new hypothesis concerning children's fractional knowledge
    • Steffe L.P.A new hypothesis concerning children's fractional knowledge Journal of Mathematical Behavior 102 2002 1 41
    • (2002) Journal of Mathematical Behavior , vol.102 , pp. 1-41
    • Steffe, L.P.1
  • 14
    • 0043053327 scopus 로고    scopus 로고
    • On the construction of learning trajectories of children: The case of commensurate fractions
    • D. Clements, & J. Sarma (Eds.)
    • Steffe, L. P. (in press). On the construction of learning trajectories of children: the case of commensurate fractions. In: D. Clements, & J. Sarma (Eds.), Learning trajectories: mathematical thinking and learning.
    • Learning Trajectories: Mathematical Thinking and Learning
    • Steffe, L.P.1
  • 16
    • 0003625788 scopus 로고
    • Children's construction of the rational numbers of arithmetic
    • The University of Georgia, Athens, GA: Author
    • Steffe, L. P., & Olive, J. (1990). Children's construction of the rational numbers of arithmetic. Proposal to the National Science Foundation. The University of Georgia, Athens, GA: Author.
    • (1990) Proposal to the National Science Foundation
    • Steffe, L.P.1    Olive, J.2
  • 18
    • 0002182058 scopus 로고    scopus 로고
    • Teaching experiment methodology: Underlying principles and essential elements
    • A. Kelly, & R. Lesh (Eds.), Hillsdale, NJ: Lawrence Erlbaum
    • Steffe, L. P., & Thompson, P. (2000b). Teaching experiment methodology: underlying principles and essential elements. In: A. Kelly, & R. Lesh (Eds.), Research design in mathematics & science education (pp. 267-307). Hillsdale, NJ: Lawrence Erlbaum.
    • (2000) Research Design in Mathematics & Science Education , pp. 267-307
    • Steffe, L.P.1    Thompson, P.2
  • 19
    • 0010732272 scopus 로고
    • From universing to conversing: An ecological constructionist approach to learning and multiple description
    • L. P. Steffe, & J. Gale (Eds.), Hillsdale, NJ: Lawrence Erlbaum
    • Steier, F. (1995). From universing to conversing: an ecological constructionist approach to learning and multiple description. In: L. P. Steffe, & J. Gale (Eds.), Constructivism in education (pp. 67-84). Hillsdale, NJ: Lawrence Erlbaum.
    • (1995) Constructivism in Education , pp. 67-84
    • Steier, F.1
  • 20
    • 0041550330 scopus 로고    scopus 로고
    • Fractions and multiplicative reasoning
    • J. Kilpatrick G. Martin D. Schifter A. Reston, VA; National Council of Teachers of Mathematics
    • Thompson, P., & Saldanha, L. A. (in press). Fractions and multiplicative reasoning. In: J. Kilpatrick, G. Martin, & D. Schifter (Eds.), A research companion for NCTM standards. Reston, VA; National Council of Teachers of Mathematics.
    • A Research Companion for NCTM Standards
    • Thompson, P.1    Saldanha, L.A.2
  • 21
    • 22644452255 scopus 로고    scopus 로고
    • An integrated study of children's construction of improper fractions and the teacher's role in promoting that learning
    • Tzur R.An integrated study of children's construction of improper fractions and the teacher's role in promoting that learning Journal for Research in Mathematics Education 30 1999 390 416
    • (1999) Journal for Research in Mathematics Education , vol.30 , pp. 390-416
    • Tzur, R.1
  • 22
    • 0002065821 scopus 로고
    • Learning mathematics as a meaningful activity
    • L. P. Steffe, P. Nesher, P. Cobb, G. A. Goldin, & B. Greer (Eds.), Mahwah, NJ: Lawrence Erlbaum
    • Van Oers, B. (1995). Learning mathematics as a meaningful activity. In: L. P. Steffe, P. Nesher, P. Cobb, G. A. Goldin, & B. Greer (Eds.), Theories of mathematical learning (pp. 91-113). Mahwah, NJ: Lawrence Erlbaum.
    • (1995) Theories of Mathematical Learning , pp. 91-113
    • Van Oers, B.1
  • 24
    • 0002381924 scopus 로고
    • The genesis of higher mental functions
    • J. V. Wertsch (Ed.), Armonk, NY: Sharpe
    • Vygotsky, L. S. (1981). The genesis of higher mental functions. In: J. V. Wertsch (Ed.), The concept of activity in Soviet Psychology (pp. 144-188). Armonk, NY: Sharpe.
    • (1981) The Concept of Activity in Soviet Psychology , pp. 144-188
    • Vygotsky, L.S.1
  • 26
    • 0000752504 scopus 로고
    • Discourse and learning in the classroom: A sociocultural approach
    • L. P. Steffe, & J. Gale (Eds.), Hillsdale, NJ: Lawrence Erlbaum
    • Wertsch, J. V., & Toma, C. (1995). Discourse and learning in the classroom: a sociocultural approach. In: L. P. Steffe, & J. Gale (Eds.), Constructivism in education (pp. 159-174). Hillsdale, NJ: Lawrence Erlbaum.
    • (1995) Constructivism in Education , pp. 159-174
    • Wertsch, J.V.1    Toma, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.