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Barnett, Janet Heine; Lodder, Jerry; Pengelley, David – PRIMUS, 2016

Why would anyone think of teaching and learning mathematics directly from primary historical sources? We aim to answer this question while sharing our own experiences, and those of our students across several decades. We will first describe the evolution of our motivation for teaching with primary sources, and our current view of the advantages…

Descriptors: Mathematics Instruction, Teaching Methods, Primary Sources, Case Studies

Çekmez, Erdem; Baki, Adnan – PRIMUS, 2016

The concept of a tangent is important in understanding many topics in mathematics and science. Earlier studies on students' understanding of the concept of a tangent have reported that they have various misunderstandings and experience difficulties in transferring their knowledge about the tangent line from Euclidean geometry into calculus. In…

Descriptors: Generalization, Mathematical Concepts, Comprehension, Differences

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