Exploding Dots at the MSU-Billings Math Circle

Global Math Week is an annual event started by Dr. James Tanton and the Global Math Project, connecting students around the world with the mathematics of Exploding Dots. Exploding Dots is a reconceptualization of the mechanics of arithmetic, which allows for a visually intuitive and accessible representation of a variety of mathematical topics ranging from different base representations to the arithmetic of polynomials and series. In this manuscript, we describe the first implementation of Exploding Dots at the MSU-Billings Math Circle. The actual itemized agenda of the session is described, followed by highlights of the session and observations by the author. In particular, as many of the students who participated were of a younger age, or were otherwise less experienced mathematically than others, these specific challenges were addressed. The author offers some insight from their experience conducting this activity, and advice for those who wish to implement similar activities in their outreach programs