Traditionally, math enrichment programs are run by professional mathematicians with an interest in education or by teachers with an interest in math competitions, but for most other people the idea of starting their own program seems like a daunting task. Fortunately, a few years ago, Sam Vandervelde and the Mathematical Sciences Research Institute put together Circle in a Box, a definitive guide on starting your own math enrichment program. It includes almost two hundred pages of advice on everything from the logistics of setting up an enrichment program to a fairly large set of suggested math topics and problems. There is even a section on how to apply for funding. Circle in a Box focuses primarily on setting up a math circle as opposed to any other type of enrichment program. Math circles are informal problem solving and discussion groups that were extremely popular for decades in Eastern Europe and which have played a crucial role in the development of several generations of mathematicians. Unlike school math clubs which usually focus on preparing students for specific math competitions, math circles are more flexible and their aim is to introduce a greater range of mathematical ideas (not simply problem solving tricks) and to explore even nontraditional topics in depth.
In our experience, the approach outlined in the book is similar to the one used by The Math Circle, one of the oldest math circles in the United States and by the Gentle Knowledge Math Circle, one of the first free out of school math enrichment programs. The author is the founder of the Stanford Math Circle and is well-known in the world of math outreach. If you’re a teacher, a parent, or simply a math enthusiast who is interested in starting your own program, this book along with Mathematical Circles (Russian Experience) will be an invaluable guide.