Part I. Berkeley Math Circle

Part II. Manhattan Math Circle Seminar
-Counting rhymes
-Arithmetic
-More coded pictures
-Make your own problem
-Cut the square
-Siege of the fortress
-More logic problems
-Estimates
-Problems with unknowns
-Knots, links, and paths
-How old are you?
-No solutions
-The pigeon hole principle

The main part of this book describes the first semester of the existence of a successful and now highly popular program for elementary school students at the Berkeley Math Circle. The topics discussed in the book introduce the participants to the basics of many important areas of modern mathematics, including logic, symmetry, probability theory, knot theory, cryptography, fractals, and number theory. Each chapter in the first part of this book consists of two parts. It starts with generously illustrated sets of problems and hands-on activities. This part is addressed to young readers who can try to solve problems on their own or to discuss them with adults. The second part of each chapter is addressed to teachers and parents. It includes comments on the topics of the lesson, relates those topics to discussions in other chapters, and describes the actual reaction of math circle participants to the proposed activities.