**Ralph Bernardini** teaches at Vergennes Union High School. A former electrical engineer, Ralph is a graduate of the Vermont Mathematics Initiative, and a long-time VMI instructor.

**Priscilla Bremser **has been a member of the Department of Mathematics at Middlebury College since 1984. She has published articles in the area of number theory and, more recently, mathematics education. She has been an instructor for the Vermont Mathematics Initiative since 2007, and developed the “Mathematics for Teachers” course at Middlebury.

**Carla Mayo** has been involved with math education at Mount Abraham Union High School since 1994. She began her career as a middle school math teacher. After attending the Vermont Mathematics Initiative, she changed roles and is now an instructional coach of mathematics and teacher leader of the math department.

**Dan Velleman** was a professor in the Department of Mathematics and Statistics at Amherst College from 1983 to 2017. He has published articles in a wide range of areas, from set theory to the quadratic formula as a tax form (www.cs.amherst.edu/~djvelleman/irs.pdf). He is the author of several books, including the textbooks *How To Prove It* and *Calculus: A Rigorous First Course* and the recreational problem collection *Which Way Did the Bicycle Go?* He was the editor of the American Mathematical Monthly from 2007 to 2011.