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Representations as Tools for Building Arguments

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Combinatorics and Reasoning

Part of the book series: Mathematics Education Library ((MELI,volume 47))

Abstract

In this chapter, we discuss the children’s earliest work on combinatorics problems,the second- and third-grade efforts on the shirts and jeans problem

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References

  • Cathcart, W. G., Pothier, Y. M., Vance, J. H., & Bezuk, N. S. (2006). Learning mathematics in elementary and middle schools: A learner-centered approach. Upper Saddle River, NJ: Pearson Prentice Hall.

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  • Maher, C. A., & Martino, A. M. (1992a). Teachers building on students’ thinking. The Arithmetic Teacher, 39, 32–37.

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  • Martino, A. M. (1992). Elementary students’ construction of mathematical knowledge: Analysis by profile. Unpublished doctoral dissertation, Rutgers, the State University of New Jersey, New Brunswick, NJ.

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Author information

Authors and Affiliations

  1. Graduate School of Education, Rutgers University, New Brunswick, NJ, USA

    Carolyn A. Maher

  2. Department of General Studies, The Richard Stockton College of New Jersey, Pomona, NJ, USA

    Dina Yankelewitz

Authors
  1. Carolyn A. Maher
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  2. Dina Yankelewitz
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Corresponding author

Correspondence to Carolyn A. Maher .

Editor information

Editors and Affiliations

  1. Graduate School of Education, Rutgers University, 10 Seminary Place, New Brunswick, NJ, 08901, USA

    Carolyn A. Maher

  2. Department of Urban Education, Rutgers University, 110 Warren Street, Newark, NJ, 07102, USA

    Arthur B. Powell

  3. Department of Mathematical Sciences, Felician College, 223 Montross Avenue, Rutherford, NJ, 07070, USA

    Elizabeth B. Uptegrove

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© 2011 Springer Science+Business Media B.V.

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Maher, C.A., Yankelewitz, D. (2011). Representations as Tools for Building Arguments. In: Maher, C.A., Powell, A.B., Uptegrove, E.B. (eds) Combinatorics and Reasoning. Mathematics Education Library, vol 47. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0615-6_3

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