1. Integrating real-world applications into teaching
“Social networking is an excellent real-world example of discrete mathematics. Students can post a joke and then track the vertex edge graph that results. The graph can be used to make inferences about popularity, outgoing personalities, and levels of friendship. Tracking the joke as a tree may also allow you to make inferences about natural communities, cliques. This document is one way we have used social networks to make mathematics meaningful.” —Mary Hosten
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