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Volumn , Issue , 2017, Pages 413-447

Early Algebra: What Does Understanding the Laws of Arithmetic Mean in the Elementary Grades?

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EID: 85144367888     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.4324/9781315097435-19     Document Type: Chapter
Times cited : (20)

References (21)
  • 1
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    • Making mathematics reasonable in school
    • J. Kilpatrick, W. G. Martin, and D. Schifter (Eds.), Reston, VA: National Council of Teachers of Mathematics
    • Ball, D. L., and Bass, H. (2003). Making mathematics reasonable in school. In J. Kilpatrick, W. G. Martin, and D. Schifter (Eds.), A research companion to principles and standards for school mathematics (pp. 27-44). Reston, VA: National Council of Teachers of Mathematics.
    • (2003) A research companion to principles and standards for school mathematics , pp. 27-44
    • Ball, D.L.1    Bass, H.2
  • 3
    • 0011964676 scopus 로고    scopus 로고
    • (Research Report). Madison, WI: National Center for Improving Student Learning and Achievement in Mathematics and Science. Retrieved December 1, 2006 from
    • Carpenter, T. P., and Levi, L. (2000). Developing conceptions of algebraic reasoning in the primary grades (Research Report). Madison, WI: National Center for Improving Student Learning and Achievement in Mathematics and Science. Retrieved December 1, 2006 from http://www.wcer.wisc.edu/ncislapublications/index.html
    • (2000) Developing conceptions of algebraic reasoning in the primary grades
    • Carpenter, T.P.1    Levi, L.2
  • 5
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    • Forces and issues related to curriculum and instruction, K-6
    • P. S. Jones et al. (Eds.), Reston, VA:National Council of Teachers of Mathematics
    • DeVault, M.V., and Weaver, J.F. (1970). Forces and issues related to curriculum and instruction, K-6. In P. S. Jones et al. (Eds.), A history of mathematics education in the United States and Canada: 1970 NCTM yearbook (pp. 91-152). Reston, VA:National Council of Teachers of Mathematics.
    • (1970) A history of mathematics education in the United States and Canada: 1970 NCTM yearbook , pp. 91-152
    • DeVault, M.V.1    Weaver, J.F.2
  • 6
    • 85144467061 scopus 로고    scopus 로고
    • December 19, Retrieved December 19, 2002, from
    • Goodnough, A. (2002, December 19). Cutting jargon: Klein offers a report card Johnny can read. Retrieved December 19, 2002, from http://www.nytimes.com/2002/-12/19/nyregion/19SCHO.html?ex?1041298795andei?1anden?1472a722163c655d
    • (2002) Cutting jargon: Klein offers a report card Johnny can read
    • Goodnough, A.1
  • 9
    • 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
  • 10
    • 0002050688 scopus 로고
    • The learning and teaching of school algebra
    • D. Grouws (Ed.), New York: Macmillan
    • Kieren, C. (1992). The learning and teaching of school algebra. In D. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 390-419). New York: Macmillan.
    • (1992) Handbook of research on mathematics teaching and learning , pp. 390-419
    • Kieren, C.1
  • 11
    • 84939982561 scopus 로고    scopus 로고
    • National Research Council Mathematics Learning Study, Mathematics Learning Study Committee, and National Research Council (Eds.)
    • Washington, DC: National Academies Press
    • Kilpatrick, J., Swafford, J., Findell, B., National Research Council Mathematics Learning Study, Mathematics Learning Study Committee, and National Research Council (Eds.). (2001). Adding it up: Helping children learn mathematics. Washington, DC: National Academies Press.
    • (2001) Adding it up: Helping children learn mathematics
    • Kilpatrick, J.1    Swafford, J.2    Findell, B.3
  • 12
    • 14944340413 scopus 로고    scopus 로고
    • Representations in school mathematics: Learning to graph and graphing to learn
    • J. Kilpatrick, W. G. Martin, and D. Schifter (Eds.), Reston, VA: National Council of Teachers of Mathematics
    • Monk, S. (2003). Representations in school mathematics: Learning to graph and graphing to learn. In J. Kilpatrick, W. G. Martin, and D. Schifter (Eds.), A research companion to the NCTM standards (pp. 250-262). Reston, VA: National Council of Teachers of Mathematics.
    • (2003) A research companion to the NCTM standards , pp. 250-262
    • Monk, S.1
  • 14
    • 84928849508 scopus 로고
    • The algebra project:Organizing in the spirit of Ella
    • Moses, R., Kamii, M., Swap, S., and Howard, J. (1989). The algebra project:Organizing in the spirit of Ella. Harvard Educational Review, 59(4), 423-443.
    • (1989) Harvard Educational Review , vol.59 , Issue.4 , pp. 423-443
    • Moses, R.1    Kamii, M.2    Swap, S.3    Howard, J.4
  • 16
    • 25144503897 scopus 로고
    • Forces and issues related to curriculum and instruction, 7-12
    • P. S. Jones et al. (Eds.), Reston, VA:National Council of Teachers of Mathematics
    • Osborne, A. R., and Crosswhite, F. U. (1970). Forces and issues related to curriculum and instruction, 7-12. In P. S. Jones et al. (Eds.), A history of mathematics education in the United States and Canada: 1970 NCTM yearbook (pp. 153-297). Reston, VA:National Council of Teachers of Mathematics.
    • (1970) A history of mathematics education in the United States and Canada: 1970 NCTM yearbook , pp. 153-297
    • Osborne, A.R.1    Crosswhite, F.U.2
  • 18
    • 0842266968 scopus 로고    scopus 로고
    • Mathematical reasoning in the elementary grades
    • L. Stiff and F. Curio (Eds.), Reston, VA: National Council of Teachers of Mathematics
    • Russell, S. J. (1999). Mathematical reasoning in the elementary grades. In L. Stiff and F. Curio (Eds.), Developing mathematical reasoning in grades k-12, (pp. 1-12). Reston, VA: National Council of Teachers of Mathematics.
    • (1999) Developing mathematical reasoning in grades k-12 , pp. 1-12
    • Russell, S.J.1
  • 19
    • 27744481982 scopus 로고    scopus 로고
    • Reasoning about algebra: Early algebraic thinking in grades K-6
    • L. V. Stiff and F. R. Curcio (Eds.), Reston, VA: National Council of Teachers of Mathematics
    • Schifter, D. (1999). Reasoning about algebra: Early algebraic thinking in grades K-6. In L. V. Stiff and F. R. Curcio (Eds.), Developing mathematical reasoning in grades K-12: 1999 NCTM yearbook (pp. 62-81). Reston, VA: National Council of Teachers of Mathematics.
    • (1999) Developing mathematical reasoning in grades K-12: 1999 NCTM yearbook , pp. 62-81
    • Schifter, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.