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Volumn , Issue , 2004, Pages 211-234

Instructional contexts that support students' transition from arithmetic to algebraic reasoning: Elements of tasks and culture

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EID: 27744434313     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.4324/9781410611666     Document Type: Chapter
Times cited : (6)

References (24)
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    • Using Valsiner's zone theory to interpret teaching practices in the classroom: Beyond the zone of proximal development
    • to appear
    • Blanton, M., Westbrook, S., & Carter, G. (to appear). Using Valsiner's zone theory to interpret teaching practices in the classroom: Beyond the zone of proximal development. Journal of Mathematics Teacher Education.
    • Journal of Mathematics Teacher Education
    • Blanton, M.1    Westbrook, S.2    Carter, G.3
  • 5
    • 0011964676 scopus 로고    scopus 로고
    • Developing conceptions of algebraic reasoning in the primary grades
    • Res. Rep. 00-2). Madison, WI: National Center for Improving Student Learning and Achievement in Mathematics and Science [available at
    • Carpenter, T.P., & Levi, L. (2000). Developing conceptions of algebraic reasoning in the primary grades. (Res. Rep. 00-2). Madison, WI: National Center for Improving Student Learning and Achievement in Mathematics and Science [available at www.wcer.wisc.edu/ncisla].
    • (2000)
    • Carpenter, T.P.1    Levi, L.2
  • 7
    • 10644227491 scopus 로고    scopus 로고
    • Plenary address. XXII Meeting of the Psychology of Mathematics Education, North American Chapter, Tucson, AZ, October 2000. Available in CD
    • Carraher, D., Schliemann, A.D., & Brizuela, B. (2000). Early algebra, early arithmetic: Treating operations as functions. Plenary address. XXII Meeting of the Psychology of Mathematics Education, North American Chapter, Tucson, AZ, October 2000. Available in CD.
    • (2000) Early algebra, early arithmetic: Treating operations as functions
    • Carraher, D.1    Schliemann, A.D.2    Brizuela, B.3
  • 9
    • 27744569066 scopus 로고    scopus 로고
    • Voyaging from theory to practice in learning: Measure Up
    • In N. Pateman, B.Dougherty, & J.Zilliox (Eds.), Honolulu, Hawai'i: University of Hawai'i
    • Dougherty, B. (2003). Voyaging from theory to practice in learning: Measure Up. In N. Pateman, B.Dougherty, & J.Zilliox (Eds.), Proceedings of the Twenty-seventh International Conference for the Psychology of Mathematics Education (vol. 1, pp. 17-23). Honolulu, Hawai'i: University of Hawai'i.
    • (2003) Proceedings of the Twenty-seventh International Conference for the Psychology of Mathematics Education , vol.1 , pp. 17-23
    • Dougherty, B.1
  • 10
    • 27744488361 scopus 로고    scopus 로고
    • Transforming algebra from an engine of inequity to an engine of mathematical power by "algebrafying" the K-12 curriculum
    • In S.Fennel (Ed.), Washington, DC: National Research Council, National Academy Press
    • Kaput, J. (1998). Transforming algebra from an engine of inequity to an engine of mathematical power by "algebrafying" the K-12 curriculum. In S.Fennel (Ed.), The nature and role of algebra in the K-14 curriculum: Proceedings of a national symposium (pp. 25-26). Washington, DC: National Research Council, National Academy Press.
    • (1998) The nature and role of algebra in the K-14 curriculum: Proceedings of a national symposium , pp. 25-26
    • Kaput, J.1
  • 11
    • 0343376045 scopus 로고    scopus 로고
    • Teaching and learning a new algebra
    • In E.Fennema & T. Romberg (Eds.), Mahwah, NJ: Lawrence Erlbaum Associates. Available at
    • Kaput, J. (1999). Teaching and learning a new algebra. In E.Fennema & T. Romberg (Eds.), Mathematics classrooms that promote understanding (pp. 133-155). Mahwah, NJ: Lawrence Erlbaum Associates. Available at http://www.simcalc.umassd.edu/EABook.html.
    • (1999) Mathematics classrooms that promote understanding , pp. 133-155
    • Kaput, J.1
  • 14
    • 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
  • 15
    • 17344372033 scopus 로고
    • The social construction of cognitive conflict: A place for affect
    • In J.Valsiner (Ed.), Norwood, NJ: Ablex
    • Lightfoot, C. (1988). The social construction of cognitive conflict: A place for affect. In J.Valsiner (Ed.), Child development within culturally structured environments. Norwood, NJ: Ablex.
    • (1988) Child development within culturally structured environments
    • Lightfoot, C.1
  • 16
    • 2942593143 scopus 로고    scopus 로고
    • Washington, DC: National Research Council, National Academy Press
    • National Council of Teachers of Mathematics. (1998). The nature and role of algebra in the K-14 curriculum. Washington, DC: National Research Council, National Academy Press.
    • (1998) The nature and role of algebra in the K-14 curriculum
  • 18
    • 3843137709 scopus 로고    scopus 로고
    • Mathematics worth teaching, mathematics worth understanding
    • In E.Fennema, & T.Romberg (Eds.), Mahwah, NJ: Lawrence Erlbaum Associates
    • Romberg, T., & Kaput, J. (1999). Mathematics worth teaching, mathematics worth understanding. In E.Fennema, & T.Romberg (Eds.), Mathematics classrooms that promote understanding (pp. 3-32). Mahwah, NJ: Lawrence Erlbaum Associates.
    • (1999) Mathematics classrooms that promote understanding , pp. 3-32
    • Romberg, T.1    Kaput, J.2
  • 24
    • 84958916387 scopus 로고
    • (A.Kozulin, Trans.). Cambridge, MA: MIT Press. (Original work published in 1934.)
    • Vygotsky, L. (1986). Thought and language. (A.Kozulin, Trans.). Cambridge, MA: MIT Press. (Original work published in 1934.).
    • (1986) Thought and language
    • Vygotsky, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.