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Zazkis, Dov; Rasmussen, Chris; Shen, Samuel P. – PRIMUS, 2014

The Riemann sum definition of integration is ubiquitous in college calculus courses. This, however, is not the only possible way to define an integral. Here, we present an alternative mean-based definition of integration. We conjecture that this definition is more accessible to students. In support of this proposition we first present a…

Descriptors: College Mathematics, Mathematics Instruction, Calculus, Mathematical Concepts

Wawro, Megan; Rasmussen, Chris; Zandieh, Michelle; Sweeney, George Franklin; Larson, Christine – PRIMUS, 2012

In this paper we present an innovative instructional sequence for an introductory linear algebra course that supports students' reinvention of the concepts of span, linear dependence, and linear independence. Referred to as the Magic Carpet Ride sequence, the problems begin with an imaginary scenario that allows students to build rich imagery and…

Descriptors: Algebra, Definitions, College Mathematics, Mathematics Instruction