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A focus on variables as quantities of variable measure in covariational reasoning
Conference paper   Open access

A focus on variables as quantities of variable measure in covariational reasoning

Jason Silverman
Proceedings of the Twenty Eighth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Vol.2, pp.174-177
2006
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Abstract

Recent emphasis in mathematics education has been placed a covariational conception of function, but focusing on "quantities varying," makes evident a subtlety in covariational reasoning. This paper will analyze the potential difficulties one encounters when one's understanding of involves a graph constraining the ways in which variables vary, particularly an inability to reason about why fairly complex functions behave as they do.

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