{"title":"Exploring Students’ Dynamic Measurement Reasoning About Right Prisms and Cylinders","authors":"N. Panorkou","doi":"10.1080/07370008.2021.1958218","DOIUrl":null,"url":null,"abstract":"Abstract 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.","PeriodicalId":47945,"journal":{"name":"Cognition and Instruction","volume":"39 1","pages":"477 - 511"},"PeriodicalIF":2.3000,"publicationDate":"2021-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Cognition and Instruction","FirstCategoryId":"102","ListUrlMain":"https://doi.org/10.1080/07370008.2021.1958218","RegionNum":1,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PSYCHOLOGY, EDUCATIONAL","Score":null,"Total":0}
引用次数: 1
Abstract
Abstract 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.
期刊介绍：
Among education journals, Cognition and Instruction"s distinctive niche is rigorous study of foundational issues concerning the mental, socio-cultural, and mediational processes and conditions of learning and intellectual competence. For these purposes, both “cognition” and “instruction” must be interpreted broadly. The journal preferentially attends to the “how” of learning and intellectual practices. A balance of well-reasoned theory and careful and reflective empirical technique is typical.
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