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Krause, Andrew J.; Maccombs, Ryan J.; Wong, Willie W. Y. – PRIMUS, 2021
Our traditional model of calculus instruction at a large public research university emphasized factual knowledge and procedural fluency with few realistic applications, leaving a chasm between classroom mathematics and disciplinary practice. Amid an ongoing effort by our department to improve undergraduate learning outcomes, we replaced…
Descriptors: Calculus, Mathematics Instruction, College Mathematics, Undergraduate Study
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Greene, M.; von Renesse, C. – PRIMUS, 2017
This paper aims to illustrate a design cycle of inquiry-based mathematics activities. We highlight a series of questions that we use when creating inquiry-based materials, testing and evaluating those materials, and revising the materials following this evaluation. These questions highlight the many decisions necessary to find just the right tasks…
Descriptors: Mathematics Instruction, Learning Activities, Mathematics Activities, Inquiry
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McGee, Daniel; Moore-Russo, Deborah; Martinez-Planell, Rafael – PRIMUS, 2015
Reviewing numerous textbooks, we found that in both differential and integral calculus textbooks the authors commonly assume that: (i) students can generalize associations between representations in two dimensions to associations between representations of the same mathematical concept in three dimensions on their own; and (ii) explicit…
Descriptors: Mathematics Instruction, Calculus, Undergraduate Study, College Mathematics
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Lutzer, Carl V. – Primus, 2001
Describes an activity designed to help students develop a good foundation from the beginning of the transition from multivariate calculus to linear algebra. (MM)
Descriptors: Calculus, Higher Education, Learning Activities, Mathematics Education