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A Problem with No Solution

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Children’s Reasoning While Building Fraction Ideas

Part of the book series: Mathematics Teaching and Learning ((MTAL))

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Abstract

In this chapter, we explore the reasoning of students during the second session of the intervention as they worked on a task that asked for appropriate rods that could represent particular fractions. The central task of the session asked the students to represent a particular fraction in relation to a given rod representing the unit for which there was no correct solution using the available rods.

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References

  • Mueller, M. (2007). A study of the development of reasoning in sixth grade students (Unpublished doctoral dissertation). Rutgers, The State University of New Jersey, New Brunswick, NJ.

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  • Mueller, M., Yankelewitz, D., & Maher, C. (2010). Promoting student reasoning through careful task design: A comparison of three studies. International Journal for Studies in Mathematics Education, 3(Transcript line 1), 135–156.

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  • Steencken, E. (2001). Tracing the growth in understanding of fraction ideas: A fourth grade case study (Unpublished doctoral dissertation). Rutgers, The State University of New Jersey, New Brunswick, NJ.

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  • Yankelewitz, D. (2009). The development of mathematical reasoning in elementary school students’ exploration of fraction ideas (Unpublished doctoral dissertation). Rutgers, The State University of New Jersey, New Brunswick, NJ.

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  • Yankelewitz, Y., Mueller, M., & Maher, C. A. (2010). A task that elicits reasoning: A dual analysis. Journal of Mathematical Behavior, 29, 76–85.

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Author information

Authors and Affiliations

  1. Pearson Education, USA

    Dina Yankelewitz

  2. Rutgers University, USA

    Esther Winter

Authors
  1. Dina Yankelewitz
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  2. Esther Winter
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Editor information

Editors and Affiliations

  1. Rutgers University, USA

    Carolyn A. Maher

  2. Pearson Education, USA

    Dina Yankelewitz

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© 2017 Sense Publishers

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Yankelewitz, D., Winter, E. (2017). A Problem with No Solution. In: Maher, C.A., Yankelewitz, D. (eds) Children’s Reasoning While Building Fraction Ideas. Mathematics Teaching and Learning. SensePublishers, Rotterdam. https://doi.org/10.1007/978-94-6351-008-0_3

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  • DOI: https://doi.org/10.1007/978-94-6351-008-0_3

  • Publisher Name: SensePublishers, Rotterdam

  • Online ISBN: 978-94-6351-008-0

  • eBook Packages: EducationEducation (R0)

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