Hands-on Combinatorics by Brian Hopkins - 9781470477578

Hands-on CombinatoricsBuilding Colorful Trains to Manifest Pascal's Triangle, Fibonacci Numbers, and Much More\nAuthor(s): Brian Hopkins\nFormat: Paperback\nPublisher: American Mathematical Society, United States\nImprint: American Mathematical Society\nISBN-13: 9781470477578, 978-1470477578\nSynopsis\nThis book provides an active-learning approach to combinatorial reasoning and proof through a thoughtful sequence of low threshold, high ceiling activities. A novel feature is its narrative format, with much of the text written from the perspective of a student working through the material with peers. Furthermore, each chapter includes detailed notes for the instructor such as additional scaffolding, extensions, and notation for more advanced students. The exposition is complemented by over 300 colorful illustrations. The main focus of the book is the study of integer compositions with forays into graph theory and recreational mathematics. Befitting the constructive nature of the book,!