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Making Pizzas: Reasoning by Cases and by Recursion

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Combinatorics and Reasoning

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

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Abstract

In previous chapters, we followed the students in Kenilworth as they worked on theshirts and jeans task and the towers problems in the second through fifth grades. Inthis chapter, we discuss five sessions during which these students worked to make sense of the pizza problems.

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References

  • Bellisio, C. W. (1999). A study of elementary school students’ ability to work with algebraic notation and variables. Unpublished doctoral dissertation, Rutgers, The State University of New Jersey, New Brunswick, NJ.

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  • Muter, E. M. (1999). The development of student ideas in combinatorics and proof: A six year study. Unpublished doctoral dissertation, Rutgers University, Newark, NJ.

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  • Tarlow, L. D. (2004). Tracing students’ development of ideas in combinatorics and proof. Unpublished doctoral dissertation, Rutgers, The State University of New Jersey, New Brunswick, NJ.

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Correspondence to Carolyn A. Maher .

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© 2011 Springer Science+Business Media B.V.

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Maher, C.A., Sran, M.K., Yankelewitz, D. (2011). Making Pizzas: Reasoning by Cases and by Recursion. 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_6

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