Math Circle Resources
We would like to share some of the valuable resources we have found over the years of teaching our math circles.
Prime Factor Materials
Association of Mathematical Circles site contains an extensive
and frequently updated collection of mathematical circles lessons
and problems. The site also offers information on administrative and
organizational aspects of running a circle. (Most of it comes from
the “Circle in a Box” book by Sam Vandervelde.) In
addition, you can find a comprehensive list of existing math circles
and their web sites.
Berkeley Math Circle
Los Angeles Math Circle
Art of Inquiry
- materials from a math and reasoning circle in Rockville, MD.
Mathematical Circles Topics
- a site of a mathematician and math circles enthusiast Tom Davis
that contains multiple topic-by-topic handouts with lectures and problems.
Books and Publications
A lot of great books on the topic have already been published by AMS (American Mathematical Society) and MSRI (Mathematical Sciences Research Institute) in their "Mathematical Circles Library" series, and more books are to come.
For grades 9 and above: "A Decade of the Berkley Math Circle" by Zvezdelina Stankova, and "Moscow Mathematical Olympiads" by Ivan
Yashchenko et al. Stankova's book contains both theoretical
presentations and problem sets on a variety of topics. "Moscow Math Olympiads"
contains problems sets and solutions.
For grades 7-9: "Math Circle Day-to-Day" by Ivan Dorichenko.
This book is a collection of day-by-day sets of problems from a Moscow Math Circle.
For grades 6-9: "Mathematical Circles (Russian Experience)" by
Genkin, Fomin, Itenberg. This excellent book contains a great
collection of materials in all the main areas of "extracurricular
mathematics." Each topic comes with theoretical explanations,
methodological remarks for teachers, and collections of problems. This book is our
favorite. Some "lighter" topics in the book, such as Construction
Problems, Pigeonhole principle, and Strategic Games, can be used for
teaching in a younger-grade circle. Others, like Induction and
Advanced Divisibility, can be taught in a circle with older
For Grades 5-7:"A First Year of Mathematical Circle" by Anna Burago contains
a complete week-by-week collection of
math circle materials. The materials include lectures to be
presented in class, sets of problems to work on,
and the contests, games and tournaments to play with the students. The book is
to be published by AMS in 2013. The book is based on the Prime Factor
For younger students: " Math from Three to Seven: The Story of a Mathematical Circle for Preschoolers" by Alexander Zvonkin.
This captivating book is a detailed journal of a professional mathematician
leading a math circle for preschoolers in his
apartment in Moscow in the 1980s. The book is both informational
and inspirational. The majority of the topics introduced
in the book can be used in early-elementary math circles. The
book inspires the reader to rethink the traditional assumptions
about math topics that can be taught to younger children.
It also offer new and effective approaches to present these
Another great publisher of books that can be used in mathematical circles is the Art of Problem Solving
Check their web site for the full selection.
Also, archives of the Math Kangaroo competition
can serve as a good source of interesting and
Prime Factor Math Circles resources
Our "Archives" section contains our curriculum and some of our problem sets. We would also like to recommend that you check the games and
tournaments section of this web site.
Prime Factor Math Circle is a nonprofit organization. The
goal of Prime Factor is to engage school children in the world of
extracurricular mathematics with the purpose of developing their math
knowledge, problem solving skills and creative thinking abilities. We have a
lot of plans and ideas how to grow and expand. We welcome donations and we will put
them to a good use.