It is difficult to find good problems for undergraduates. In this article, we explore an interesting problem that can be used in virtually any mathematics course. We then offer natural generalizations, state and prove some related results, and ultimately end with several open problems suitable for undergraduate research. Finally, we attempt to shed some light on what makes a problem interesting.
© Virginia Mathematics and Science Coalition, licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0) (https://creativecommons.org/licenses/by/4.0/)
Cline, D. and Peterson, K.
"Unlocking Undergraduate Problem Solving,"
Journal of Mathematics and Science: Collaborative Explorations: Vol. 13
, Article 17.
Available at: https://scholarscompass.vcu.edu/jmsce_vamsc/vol13/iss1/17