Representations as Tools for Building Arguments

Part of the Mathematics Education Library book series (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

Keywords

Mathematical Idea Personal Representation Write Work Blue Jean Blue Item 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 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.Google Scholar
  2. Davis, R. B. (1984). Learning mathematics: The cognitive science approach to mathematics education. Hillsdale, NJ: Lawrence Erlbaum Associates.Google Scholar
  3. Davis, R. B., & Maher, C. A. (1997). How students think: The role of representations. In L. D. English (Ed.), Mathematical reasoning: Analogies, metaphors, and images (pp. 93–115). Hillsdale, NJ: Lawrence Erlbaum Associates.Google Scholar
  4. Maher, C. A., & Martino, A. M. (1992a). Teachers building on students’ thinking. The Arithmetic Teacher, 39, 32–37.Google Scholar
  5. Maher, C. A., & Martino, A. M. (1996a). The development of the idea of mathematical proof: A 5-year case study. Journal for Research in Mathematics Education, 27(2), 194–214.CrossRefGoogle Scholar
  6. 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 Unpublished doctoral dissertation, Rutgers, the State University of New Jersey, New Brunswick, NJ.Google Scholar

Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Graduate School of EducationRutgers UniversityNew BrunswickUSA
  2. 2.Department of General StudiesThe Richard Stockton College of New JerseyPomonaUSA

Personalised recommendations