*A Decade of the Berkeley Math Circle*(Amazon affiliate link here) takes 12 of its sessions and turns them into textbook like chapters with exposition and exercises. Unlike most math circle books, this is aimed at students directly as well as teachers looking for math circle lesson plans and topic ideas.

I think this book would be most appropriate for the type of high school students who typically attend top-tier math circles, i.e. they are substantially beyond the average high schooler in terms of mathematical experience and being good at and interested in math is already part of their identity. However, as is always the case, some of the material could be adapted to other audiences.

I really like a lot of the language in the introduction about math circles, and have quoted from it on the Emory Math Circle website. However, I haven't used any of the mathematical material yet, as I mostly teach our younger group (grades 6 - 9).

There's also a volume II, which I have not personally looked through (Amazon affiliate link here).

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