In this article, the authors describe how a theoretical framework--the modeling cycle of Bliss, Fowler, and Galluzzo (2014)--came to life in their classroom as students struggled with an open-ended modeling task. The authors share their high school students' work--warts and all. They explain how they used their students' ideas and errors to help…

In this article we present three group activities designed for math students: a balloon-twisting workshop, a group proof of the irrationality of p, and a game of Math Bingo. These activities have been particularly successful in building enthusiasm for mathematics and camaraderie among math faculty and students at Kenyon College.

Students, parents, and sometimes even teachers often believe that complex mathematics is too difficult for certain learners. But the programs described in this article demonstrate that anyone can learn, understand, and use complex math. Lesa M. Covington-Clarkson boosted the confidence of black 6th graders by teaching them to use graphing…