Topics for Exploration

Mathematically, we plan to run several “parallel non-euclidean” tracks (i.e., sometimes intersecting!) for kids, teachers, and parents with topics that will include two morning sessions roughly split between algebra / computational and geometric / visual topics, and an afternoon session focused on hands-on activities.

Kids who will love this program will likely be enthralled by topics that include:

  • Number theory via computation & coding

  • Visual beauty of complex numbers

  • Topology of surfaces & knot theory

  • Math games in non-Euclidean spaces

  • Probability & infinite series

  • Unsolved math problems

In a given morning, we may explore Fibonacci divisibility patterns by hand, by theory, and using Python. We may later ask the question: How many different ways can we color the edges of a dodecahedron using the colors red, green, and black? In the afternoon, we will try to tie regular heptagonal knots using strips of paper, build three-dimensional shadows of four-dimensional polytopes, and learn how to use topology and parity to perform amazing magic tricks.

We may also have the children share some of their favorite explorations in mathematics to the group during the camp.

Parents will be able to observe some of the children’s sessions, participate in talks with instructors to learn about their research and teaching, and spend time as a group sharing best practices on fostering their children’s love for mathematics. An important part of this will be experience sharing on specific mathematical explorations that have been meaningful to their children. We understand that you are members of a small, unusual, but beautiful community, and it is important to learn from each other.