Making Pizzas: Reasoning by Cases and by Recursion

Maher, Carolyn A.; Sran, Manjit K.; Yankelewitz, Dina

doi:10.1007/978-0-387-98132-1_6

Carolyn A. Maher⁴,
Manjit K. Sran^5,6 &
Dina Yankelewitz⁷

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Abstract

In previous chapters, we followed the students in Kenilworth as they worked on the shirts and jeans task and the towers problems in the second through fifth grades. In this chapter, we discuss five sessions during which these students worked to make sense of the pizza problems. These problems presented new challenges and required the students to adapt the representations and solution strategies that they had previously formed to meet the needs of these tasks. (Portions of the data analyzed here are described in Bellisio (1999), Muter (1999), and Tarlow (2004).)

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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 Unpublished doctoral dissertation, Rutgers, The State University of New Jersey, New Brunswick, NJ.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 Unpublished doctoral dissertation, Rutgers University, Newark, NJ.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 Unpublished doctoral dissertation, Rutgers, The State University of New Jersey, New Brunswick, NJ.
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Authors and Affiliations

Graduate School of Education, Rutgers University, New Brunswick, NJ, USA
Carolyn A. Maher
Mathematics Department, Monroe Township High school, 1629 Perrineville Road, Monroe Township, NJ, 08831, USA
Manjit K. Sran
College of Business and Management, DeVry University, 630 U.S. Highway One, North Brunswick, NJ, 08902, USA
Manjit K. Sran
Department of General Studies, The Richard Stockton College of New Jersey, Pomona, NJ, USA
Dina Yankelewitz

Authors

Carolyn A. Maher
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Manjit K. Sran
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Dina Yankelewitz
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Correspondence to Carolyn A. Maher .

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Editors and Affiliations

Graduate School of Education, Rutgers University, Seminary Place 10, New Brunswick, 08901, New Jersey, USA
Carolyn A. Maher
Dept. Urban Education, Rutgers University, Warren Street 110, Newark, 07102, New Jersey, USA
Arthur B. Powell
Dept. Mathematical Sciences, Felician College, S. Main Street 262, Lodi, 07611, New Jersey, USA
Elizabeth B. Uptegrove

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Maher, C.A., Sran, M.K., Yankelewitz, D. (2010). Making Pizzas: Reasoning by Cases and by Recursion. In: Maher, C., Powell, A., Uptegrove, E. (eds) Combinatorics and Reasoning. Springer, Dordrecht. https://doi.org/10.1007/978-0-387-98132-1_6

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DOI: https://doi.org/10.1007/978-0-387-98132-1_6
Published: 20 May 2010
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-387-98131-4
Online ISBN: 978-0-387-98132-1
eBook Packages: Humanities, Social Sciences and LawEducation (R0)

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