This book provides an overview of how to run a Mathematical Circle i.e. an organization that
discovers and nurtures young mathematical talents through meaningful extra-curricular
activities. This is the first volume in a trilogy describing in particular the S.M.A.R.T.
Circle project which was founded in Edmonton Canada in 1981. The acronym S.M.A.R.T. stands
for Saturday Mathematical Activities Recreations & Tutorials. This book Volume I offers a
sampling of many aspects including projects and mini-courses. Volume II which consists of
student projects addresses the purpose of the Circle and Volume III consisting of
mini-courses explains what actually takes place in the Circle. All three volumes provide a
wealth of resources (mathematical problems quizzes and games together with their solutions).
The books will be of interest to self-motivated students who want to conduct independent
research teachers who work with these students and teachers who are currently running or
planning to run Mathematical Circles of their own.