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Key Aspects of Knowing and Learning the Concept of Function

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Author:Annie and John Selden; Mathematical Association of America
Description: Marilyn Carlson and Michael Oehrtman discuss "what is involved in knowing and learning the function concept," including "the reasoning abilities involved in understanding and using functions and the dynamic conceptualizations needed for understanding major concepts of calculus." Their overview consists of sections such as "Dynamic conceptualizations needed for precalculus and calculus," "Fostering a process view of functions," "Building on the process view of function: Applying covariational reasoning," and "Engaging covariational reasoning through analysis of function situations." The section "Why is the function concept so difficult for students to understand?" points up several "common conceptual obstacles that have been observed in students." From the MAA's Teaching and Learning Research Sampler.

Levels: Middle School (6-8), High School (9-12), College
Languages: English
Resource Types: Articles
Math Topics: Functions
Math Ed Topics: Specific Math Concepts/Techniques, Math Ed Research/Reform

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