For Discrete Mathematics Teachers at all Levels
This book collects the work of 35 instructors who share their innovations and insights about teaching discrete mathematics. Whether you teach at the college or high school level; whether your students are from mathematics, computer science, or engineering; whether you emphasize logic, proof, counting, graph theory, or applications, you will find resources in this book to supplement your discrete mathematics course.
19 classroom-tested projects, eleven history modules drawing on original sources, and five articles address a wide range of topics reflecting the breadth of content and audience in various discrete mathematics courses. A sampling of topics includes building a geodesic dome, working with excerpts of Pascal’s “Treatise on the Arithmetical Triangle,” applying discrete mathematics to biology and chemistry, and using logic in encouraging students to construct proofs.
Table of Contents
I. Classroom-tested Projects
II. Historical Projects in Discrete Mathematics and Computer Science
III. Articles Extending Discrete Mathematics Content
IV. Articles on Discrete Mathematics Pedagogy
About the Editor
About the Editor
Brian Hopkins received his BS in mathematics and a BA in philosophy from the University of Texas in 1990, and earned his PhD in mathematics from the University of Washington in 1997. He teaches at Saint Peter’s College, a Jesuit liberal arts institution in Jersey City, where he has led several undergraduate research projects and has been the recipient of the Varrichio Award for Teaching Excellence (awarded by the SPC Pi Mu Epsilon chapter) two times, in 2004 and 2007. Brian is the author, with Carl Swenson, of Getting Started with the TI-92 in Calculus (1998, John Wiley & Sons). Also, he has published several research articles in combinatorics and, with Robin J. Wilson, won the MAA’s 2005 George Pólya Award for excellent expository writing in The College Mathematics Journal for “The Truth About Königsberg.” Brian works with secondary school teachers in professional development projects with various organizations including the Institute for Advanced Study’s Park City Mathematics Institute, the Northwest Math Interaction, the New Jersey Professional Development and Outreach group, the Institute for New Jersey Mathematics Teachers, and the Pikes Peak Math Teacher Circle Academy. He is a member of the Mathematical Association of America, the American Mathematical Society, the National Council of Teachers of Mathematics, and the National Association of Recording Arts and Sciences. Brian plays piano, sings with Cantori New York, and enjoys New York City with his partner Michael.