دورية أكاديمية
Constructing a System of Covariational Relationships: Two Contrasting Cases
| العنوان: | Constructing a System of Covariational Relationships: Two Contrasting Cases |
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| اللغة: | English |
| المؤلفون: | Paoletti, Teo, Gantt, Allison L., Vishnubhotla, Madhavi |
| المصدر: | Educational Studies in Mathematics. Jul 2022 110(3):413-433. |
| الإتاحة: | Springer. Available from: Springer Nature. One New York Plaza, Suite 4600, New York, NY 10004. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-460-1700; e-mail: customerservice@springernature.com; Web site: https://link.springer.com/ |
| Peer Reviewed: | Y |
| Page Count: | 21 |
| تاريخ النشر: | 2022 |
| نوع الوثيقة: | Journal Articles Reports - Descriptive |
| Education Level: | Junior High Schools Middle Schools Secondary Education |
| Descriptors: | Mathematics Skills, Thinking Skills, Mathematical Concepts, Middle School Students, Graphs, Mathematical Logic |
| DOI: | 10.1007/s10649-021-10134-0 |
| تدمد: | 0013-1954 |
| مستخلص: | Although there is much research exploring students' covariational reasoning, there is less research exploring the ways students can leverage such reasoning to coordinate more than two quantities. In this paper, we describe a system of covariational relationships as a comprehensive image of how two varying quantities, having the same attribute across different objects, each covary with respect to a third quantity and in relation to each other. We first describe relevant theoretical constructs, including reasoning covariationally to construct relationships between quantities and reasoning covariationally to compare quantities. We then present a conceptual analysis entailing three interrelated activities we conjectured could support students in reasoning covariationally to conceive of a system of covariational relationships and represent the system graphically. We provide results from two teaching experiments with four middle school students engaging in tasks designed with our conceptual analysis in mind. We highlight two different ways students reasoned covariationally compatible with our conceptual analysis. We discuss the implications of our results and provide areas for future research. |
| Abstractor: | As Provided |
| Entry Date: | 2022 |
| رقم الأكسشن: | EJ1337610 |
| قاعدة البيانات: | ERIC |
Find this article in full text from Springer Verlag. 
Full Text Finder | تدمد: | 0013-1954 |
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| DOI: | 10.1007/s10649-021-10134-0 |