Abstract

In this talk I will consider the role of theories in collegiate mathematics education research. I will propose characteristics that a theory might have, describe one particular example of a theory and consider the extent to which it possesses these characteristics. I will also describe how this theory has been used by its developers and others throughout the world to increase our understanding of the learning process and enhance student learning of post-secondary level mathematical concepts in Calculus, Discrete Mathematics, and Abstract Algebra. Finally, I will give specific examples of the use of this theory in helping students learn certain concepts in abstract algebra.

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