Exploring Students’ Dynamic Measurement Reasoning About Right Prisms and Cylinders

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This study presents the results of a series of design experiments that aimed to engage twelve fourth-grade students in mathematical activity exploring the volume of right prisms and cylinders as a dynamic sweep of a surface through a height, an approach that is referred to as Dynamic Measurement for Volume (DYME-V). This article describes this approach and discusses the qualitatively different forms of DYME-V reasoning that students exhibited through this mathematical activity. The analysis of students’ reasoning illustrates how students may reason about the quantities involved in DYME-V, their multiplicative relationship, and also their coordinated multiplicative change. The findings show the potential of the DYME-V approach for supporting a perception of right prisms and cylinders as spaces that are generated and thus defined by other objects as the approach emphasizes dynamic images of change in volume measurement.

Original languageEnglish
Pages (from-to)477-511
Number of pages35
JournalCognition and Instruction
Issue number4
StatePublished - 2021


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