Abstract
The chapter sketches some of the landscape of current research in undergraduate mathematics education and offers useful information for present and future faculty members. Six research projects related to the teaching and learning of post-secondary mathematics are summarized. Approaches in the research reported here include individual interviews, classroom observations, national survey, and in-depth study of a particular instance or case of learning. The collegiate mathematics topics at the heart of the respective studies range from calculus, combinatorics, linear algebra, and foundations of proof to the application of mathematics to teaching in the development of future teachers.
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