Compendium for Research in Mathematics Education eChapter 16 Variation, Covariation, and Functions: Foundational Ways (Download)
Thompson and Carlson make the case that covariational reasoning is a foundational way of thinking that is essential for learning and understanding the function concept and other related ideas. They examine the historical development of the function concept and research on learning function as background for their fine-grained description of covariational reasoning and examination of curricular treatments of function using a covariation lens.
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