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Volumn 28, Issue 1, 1997, Pages 48-69

Conceptual units analysis of preservice elementary school teachers' strategies on a rational-number-as-operator task

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EID: 21444437773     PISSN: 00218251     EISSN: None     Source Type: Journal    
DOI: 10.2307/749663     Document Type: Article
Times cited : (35)

References (22)
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  • 3
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    • Behr, M., Harel, G., Post, T., & Lesh, R. (1994). Units of quantity: A conceptual basis common to additive and multiplicative structures. In G. Harel & J. Confrey (Eds.), The development of multiplicative reasoning in the learning of mathematics (pp. 363-384). Buffalo, NY: SUNY Press.
    • (1994) The Development of Multiplicative Reasoning in the Learning of Mathematics , pp. 363-384
    • Behr, M.1    Harel, G.2    Post, T.3    Lesh, R.4
  • 8
    • 0000872159 scopus 로고
    • Conceptual entities
    • D. Gentner & A. Stevens (Eds.), Hillsdale, NJ: Erlbaum
    • Greeno, J. G. (1983). Conceptual entities. In D. Gentner & A. Stevens (Eds.), Mental models (pp. 227-252). Hillsdale, NJ: Erlbaum.
    • (1983) Mental Models , pp. 227-252
    • Greeno, J.G.1
  • 10
    • 0002351467 scopus 로고
    • Missing-value proportional reasoning problems: Factors affecting informal reasoning patterns
    • G. Harel & J. Confrey (Eds.), Buffalo, NY: SUNY Press
    • Kaput, J., & West, M. M. (1994). Missing-value proportional reasoning problems: Factors affecting informal reasoning patterns. In G. Harel & J. Confrey (Eds.), The development of multiplicative reasoning in the learning of mathematics (pp. 235-287). Buffalo, NY: SUNY Press.
    • (1994) The Development of Multiplicative Reasoning in the Learning of Mathematics , pp. 235-287
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  • 11
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    • On the mathematical, cognitive, and instructional foundations of rational number
    • R. Lesh (Ed.), Columbus, OH: ERIC/SMEAC
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    • (1976) Number and Measurement: Papers from a Research Workshop , pp. 101-144
    • Kieren, T.E.1
  • 12
    • 0003116256 scopus 로고
    • Personal knowledge of rational numbers: Its intuitive and formal development
    • J. Hiebert & M. Behr (Eds.), Reston, VA: National Council of Teachers of Mathematics
    • Kieren, T. E. (1988). Personal knowledge of rational numbers: Its intuitive and formal development. In J. Hiebert & M. Behr (Eds.), Number concepts and operations in the middle grades (pp. 53-92). Reston, VA: National Council of Teachers of Mathematics.
    • (1988) Number Concepts and Operations in the middle Grades , pp. 53-92
    • Kieren, T.E.1
  • 13
    • 0011661258 scopus 로고
    • The development in children and adolescents of the construct of rational number as operator
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    • (1979) The Alberta Journal of Educational Research , vol.25 , pp. 234-247
    • Kieren, T.E.1    Southwell, B.2
  • 15
    • 0000398501 scopus 로고
    • Partitioning: The emergence of rational number ideas in young children
    • Pothier, Y., & Sawada, D. (1983). Partitioning: The emergence of rational number ideas in young children. Journal for Research in Mathematics Education, 14, 307-317.
    • (1983) Journal for Research in Mathematics Education , vol.14 , pp. 307-317
    • Pothier, Y.1    Sawada, D.2
  • 19
    • 0002269268 scopus 로고
    • The development of the concept of speed and its relationship to concepts of rate
    • G. Harel & J. Confrey (Eds.), Buffalo, NY: SUNY Press
    • Thompson, P. (1994). The development of the concept of speed and its relationship to concepts of rate. In G. Harel & J. Confrey (Eds.), The development of multiplicative reasoning in the learning of mathematics (pp. 181-234). Buffalo, NY: SUNY Press.
    • (1994) The Development of Multiplicative Reasoning in the Learning of Mathematics , pp. 181-234
    • Thompson, P.1
  • 20
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    • (1981) Journal for Research in Mathematics Education , vol.12 , pp. 83-94
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  • 22
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    • The creation of units as prerequisite for number: A philosophical review
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    • von Glasersfeld, E., & Richards, J. (1983). The creation of units as prerequisite for number: A philosophical review. In L. P. Steffe, E von Glasersfeld, & P. Cobb (Eds.), Children's counting types: Philosophy, theory, and application (pp.1-20). New York: Praeger.
    • (1983) Children's Counting Types: Philosophy, Theory, and Application , pp. 1-20
    • Von Glasersfeld, E.1    Richards, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.