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ERIC Number: EJ1051030
Record Type: Journal
Publication Date: 2015
Pages: 27
Abstractor: As Provided
ISSN: ISSN-1098-6065
Secondary Students' Quantification of Ratio and Rate: A Framework for Reasoning about Change in Covarying Quantities
Johnson, Heather Lynn
Mathematical Thinking and Learning: An International Journal, v17 n1 p64-90 2015
Contributing to a growing body of research addressing secondary students' quantitative and covariational reasoning, the multiple case study reported in this article investigated secondary students' quantification of ratio and rate. This article reports results from a study investigating students' quantification of rate and ratio as relationships between quantities and presents the "Change in Covarying Quantities Framework", which builds from Carlson, Jacobs, Coe, Larsen, and Hsu's (2002) Covariation Framework. Each of the students in this study was consistent in terms of the quantitative operation he or she used (comparison or coordination) when quantifying both ratio and rate. Illustrating how students can engage in different quantitative operations when quantifying rate, the Change in Covarying Quantities Framework helps to explain why students classified as operating at a particular level of covariational reasoning appear to be using different mental actions. Implications of this research include recommendations for designing instructional tasks to foster students' quantitative and covariational reasoning.
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Publication Type: Journal Articles; Reports - Research
Education Level: Secondary Education
Audience: N/A
Language: English
Sponsor: National Science Foundation
Authoring Institution: N/A
Grant or Contract Numbers: ESI-0426253