Math circles provide a setting in which mathematicians work with secondary school students who are interested in mathematics. This form of outreach, which has existed for decades in Russia, Bulgaria, and other countries, is now rapidly spreading across the United States as well. The first part of this book offers helpful advice on all aspects of math circle operations, culled from conversations with over a dozen directors of successful math circles. Topics include creative means for getting the word out to students, sound principles for selecting effective speakers, guidelines for securing financial support, and tips for designing an exciting math circle session. The purpose of this discussion is to enable math circle coordinators to establish a thriving group in which students can experience the delight of mathematical investigation. The second part of the book outlines ten independent math circle sessions, covering a variety of topics and difficulty levels. Each chapter contains detailed presentation notes along with a useful collection of problems and solutions. This book will be an indispensable resource for any individual involved with a math circle or anyone who would like to see one begin in his or her community. Sam Vandervelde teaches at St. Lawrence University. He launched the Stanford Math Circle and also writes and coordinates the Mandelbrot Competition, a math contest for high schools. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession. Titles in this series are co-published with the Mathematical Sciences Research Institute (MSRI).

Don’t miss the JOE PICKETT series—now streaming on Paramount+ The past comes back to haunt game warden Joe Pickett and his family with devastating effect in this thrilling novel from #1 New York Times–bestselling author C. J. Box. The plane circled in the dark. Joe Pickett could just make out down below a figure in the snow and timber, and then three other figures closing in. There was nothing he could do about it. And Joe knew that he might be their next target. The Cates family had always been a bad lot. Game warden Joe Pickett had been able to strike a fierce blow against them when the life of his daughter April had been endangered, but he’d always wondered if there’d be a day of reckoning. He’s not wondering any longer. Joe knows they’re coming after him and his family now. He has his friend Nate by his side, but will that be enough this time? All he can do is prepare...and wait for them to make the first move.

When Box meets Circle, they have few things in common. Circle likes to bounce, but Box can't bounce. Can they ever be friends? Yes! They find a way.

On the train ride to visit his grandpa, or Papa, Henri is only interested in his game. But then George the dog steals Henri's hat upon arrival, so Henri makes chase and finds himself in front of a trunk full of hats. Henri tries on each hat . . . and imagines himself a race car driver, a sea captain, a flying ace, and more! Papa finally catches up to Henri and George, and that's when Henri hears Papa's stories, real stories, about racing, sailing, flying, and more! As Henri heads home, he looks up at the stars and begins to dream . . . of being just like Papa.

This is a circle. That is a square. This is a very silly book about a wild-looking one-eyed bear, a song-singing cat, a tap-dancing goat, and a pants-wearing fox. Armed with a variety of objects and shapes, these four silly creatures create a surprising amount of havoc, which starts by the goat climbing the box and only gets zanier from there! This is A Circle is charming, silly tale of shapes and objects. Kreb's dynamic illustrations bring her zany words to life in a fun read-along book that will have the whole family smiling!

Fall is here, with all its wonderful visual delights—not just colors, but shapes! This clever concept book follows a family on a trip to a pumpkin patch and invites children to pick out shapes from the seasonal scenery—apple bushel circles, square hay bales, diamond kites in the autumn sky! Felicia Sanzari Chernesky’s sweet verses are perfectly complemented by Susan Swan’s gorgeous collage-inspired art.

Many mathematicians have been drawn to mathematics through their experience with math circles: extracurricular programs exposing teenage students to advanced mathematical topics and a myriad of problem solving techniques and inspiring in them a lifelong love for mathematics. Founded in 1998, the Berkeley Math Circle (BMC) is a pioneering model of a U.S. math circle, aspiring to prepare our best young minds for their future roles as mathematics leaders. Over the last decade, 50 instructors--from university professors to high school teachers to business tycoons--have shared their passion for mathematics by delivering more than 320 BMC sessions full of mathematical challenges and wonders. Based on a dozen of these sessions, this book encompasses a wide variety of enticing mathematical topics: from inversion in the plane to circle geometry; from combinatorics to Rubik's cube and abstract algebra; from number theory to mass point theory; from complex numbers to game theory via invariants and monovariants. The treatments of these subjects encompass every significant method of proof and emphasize ways of thinking and reasoning via 100 problem solving techniques. Also featured are 300 problems, ranging from beginner to intermediate level, with occasional peaks of advanced problems and even some open questions. The book presents possible paths to studying mathematics and inevitably falling in love with it, via teaching two important skills: thinking creatively while still ``obeying the rules,'' and making connections between problems, ideas, and theories. The book encourages you to apply the newly acquired knowledge to problems and guides you along the way, but rarely gives you ready answers. ``Learning from our own mistakes'' often occurs through discussions of non-proofs and common problem solving pitfalls. The reader has to commit to mastering the new theories and techniques by ``getting your hands dirty'' with the problems, going back and reviewing necessary problem solving techniques and theory, and persistently moving forward in the book. The mathematical world is huge: you'll never know everything, but you'll learn where to find things, how to connect and use them. The rewards will be substantial. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.