Modeling Zombie Outbreaks: A Problem-Based Approach to Improving Mathematics One Brain at a Time

Abstract

A great deal of educational literature has focused on problem-based learning (PBL) in mathematics at the primary and secondary level, but arguably there is an even greater need for PBL in college math courses. We present a project centered around the Humans versus Zombies moderated tag game played on the Utah State University campus. We discuss the project in the context of an undergraduate differential equations course and discuss how the project was launched. We highlight examples of students mathematical models along with their verbal and written responses, as well as discussing assessment and student learning. Results are discussed in the context of higher and lower cognition levels as well as mathematical appreciation.

Keywords:

• Problem-based learning
• modeling
• logistic equation
• differential equations
• zombies

ACKNOWLEDGMENTS

The authors received support from the NSF through a TUES Phase I grant (NSF 1245421). We also wish to thank Brynja Kohler and Andrea Bruder for helpful discussions, as well as three anonymous PRIMUS reviewers for their insightful comments.

Additional information

Notes on contributors

Matthew Lewis

Matthew Lewis earned his undergraduate degree from Westminster College and graduate degrees from Utah State University. In addition to completing his Ph.D. he is also teaching at InTech Collegiate High School in Logan, Utah. His mathematical interests lie in the areas of mathematical education, mathematical ecology, and applied mathematics. Other interests include baseball, fly fishing, a good haiku, and sewing.

James A. Powell

James A. Powell is a Professor of Applied Mathematics and Biology, specializing in mathematical models of dispersal and life-cycle timing and their application in ecology. He was hired at Utah State in 1991, and collaborates with scientists and engineers to develop techniques addressing their needs. He loves teaching mathematics in context, connecting students to applications from model development onwards. When not writing or teaching he hikes, skis, practices Aikido, lifts weights, and searches for the perfect burrito.