Designing A New Rod

Dina Yankelewitz; Miriam Gerstein

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Designing A New Rod

In: Children's Reasoning While Building Fraction Ideas

Authors:

Dina Yankelewitz

Dina Yankelewitz
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Miriam Gerstein

Miriam Gerstein
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Type:: Chapter

Pages:: 29–33

DOI:: https://doi.org/10.1007/9789463510080_005

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In this chapter, we explore the reasoning used by students as they design a possible new rod that could appropriately represent the requested fraction as a solution to a task that otherwise has no correct solution using the given rods. The students extended their reasoning about this design task to make a generalization about sets of rods that would satisfy the conditions of the original task. The episodes in this chapter have been described previously (Steencken, 2001; Yankelewitz, 2009), and this chapter describes the reasoning used by the students as they extended their thinking. This chapter references events from the analytic entitled “Fourth Graders Design a New Rod,” located in the Video Mosaic Collaborative (http://dx.doi.org/doi:10.7282/T33B61X8).

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Children's Reasoning While Building Fraction Ideas

Series: Mathematics Teaching and Learning, Volume: 3

E-Book ISBN:: 9789463510080

Publisher:: Brill

Print Publication Date:: 01 Jan 2017

Subjects
- Education
  - Children Education
  - Mathematics Education

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Designing A New Rod

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Children's Reasoning While Building Fraction Ideas

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