Problem solving, proof, and powerful ideas.

In this week-long course, you will explore intriguing extensions of high school mathematics that are often overlooked or covered only at a surface level. Guided by Polya’s problem-solving process, we will investigate a variety of engaging problems that provide context for the mathematical ideas we examine.

Topics will include the history of numbers; discrete mathematics and probability (including geometric probability); different types of infinity and the cardinality of sets; basic number theory; the convergence and divergence of infinite series; and an introduction to mathematical proof, including methods such as Induction and Proof by Contradiction.

These explorations will give you a glimpse of the beauty and power that mathematics holds beneath the surface of what’s covered in high school classrooms.