Includes bibliographical references.

Introduction / Mircea Pitici -- A dusty discipline / Michael J. Barany and Donald MacKenzie -- How puzzles made us human / Pradeep Mutalik -- Let the games continue / Colm Mulcahy and Dana Richards -- Challenging magic squares for magicians / Arthur T. Benjamin and Ethan J. Brown -- Candy Crush's puzzling mathematics / Toby Walsh -- Chaos on the billiard table / Marianne Freiberger -- Juggling with numbers / Erik R. Tou -- The quest for randomness / Scott Aaronson -- Synthetic biology, real mathematics / Dana Mackenzie -- At the far ends of a new universal law / Natalie Wolchover -- Twisted math and beautiful geometry / Eli Maor and Eugen Jost -- Kenichi Miura's water wheel, or, The dance of the shapes of constant width / Burkard Polster -- Dürer: disguise, distance, disagreements, and diagonals! / Annalisa Crannell, Marc Frantz, and Fumiko Futamura -- The quaternion group as a symmetry group / Vi Hart and Henry Segerman -- The Steiner-Lehmus angle-bisector theorem / John Conway and Alex Ryba -- Key ideas and memorability in proof / Gila Hanna and John Mason -- The future of high school mathematics / Jim Fey, Sol Garfunkel, Diane Briars, Andy Isaacs, Henry Pollak, Eric Robinson, Richard Scheaffer, Alan Schoenfeld, Cathy Seeley, Dan Teague, and Zalman Usiskin -- Demystifying the math myth: analyzing the contributing factors for the achievement gap between Chinese and U.S. students / Guili Zhang and Miguel A. Padilla -- The pigeonhole principle, two centuries before Dirichlet / Benoît Rittaud and Albrecht Heeffer -- A prehistory of Nim / Lisa Rougetet -- Gödel, Gentzen, Goodstein: the magic sound of a G-string / Jan von Plato -- Global and local / James Franklin -- Mathematical beauty, understanding, and discovery / Carlo Cellucci -- A guide for the perplexed: what mathematicians need to know to understand philosophers of mathematics / Mark Balaguer -- Writing about math for the perplexed and the traumatized / Steven Strogatz -- Is big data enough? A reflection on the changing role of mathematics in applications / Domenico Napoletani, Marco Panza, and Daniele C. Struppa -- The statistical crisis in science / Andrew Gelman and Eric Loken -- Statistics and the Ontario Lottery retailer scandal / Jeffrey S. Rosenthal -- Never say never / David J. Hand.

An anthology of the year's finest writing on mathematics from around the world, featuring promising new voices as well as some of the foremost names in mathematics.

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