Correspondence and Covariation: Quantities Changing Together

Correspondence and Covariation: Quantities Changing Together

Exponential functions are important topic in school algebra and in higher mathematics, but research on students' thinking suggests that understanding exponential growth remains an instructional challenge. This paper reports the results of a small-scale teaching experiment with students who expl...

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Veröffentlicht in:North American Chapter of the International Group for the Psychology of Mathematics Education 2013
Hauptverfasser: Ellis, Amy B, Ozgur, Zekiye, Kulow, Torrey, Dogan, Muhammed Faith, Williams, Caroline, Amidon, Joel
Format: Report
Sprache:eng
Schlagworte:
Algebra
Cognitive Processes
Comprehension
Educational Technology
Grade 8
Mathematical Concepts
Mathematical Logic
Mathematics Instruction
Middle School Students
Technology Uses in Education
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Zusammenfassung:Exponential functions are important topic in school algebra and in higher mathematics, but research on students' thinking suggests that understanding exponential growth remains an instructional challenge. This paper reports the results of a small-scale teaching experiment with students who explored exponential functions in the context of two continuously covarying quantities, height and time. We present two major conceptual paths that occurred in the development of an understanding of exponential growth, the covariation view and the correspondence view, and discuss the influence of each perspective on the growth of students' understanding. [For the complete proceedings, see ED584443.]