Together with its clear mathematical exposition, the problems in this book take the reader from an introduction to discrete geometry all the way to its frontiers. Investigations start with easily drawn figures, such as dividing a polygon into triangles or finding the minimum number of “guards” for a polygon (“art gallery” problem). These early explorations build intuition and set the stage. Variations on the initial problems stretch this intuition in new directions. These variations on problems together with growing intuition and understanding illustrate the theme of this book: “When you have answered the question, it is time to question the answer.” Numerous drawings, informal explanations, and careful reasoning build on high school algebra and geometry.

This book offers engaging cross-curricular modules to supplement a variety of pure mathematics courses. Developed and tested by college instructors, each activity or project can be integrated into an instructor’s existing class to illuminate the relationship between pure mathematics and other subjects. Every chapter was carefully designed to promote active learning strategies. The editors have diligently curated a volume of twenty-six independent modules that cover topics from fields as diverse as cultural studies, the arts, civic engagement, STEM topics, and sports and games. An easy-to-use reference table makes it straightforward to find the right project for your class. Each module contains a detailed description of a cross-curricular activity, as well as a list of the recommended prerequisites for the participating students. The reader will also find suggestions for extensions to the provided activities, as well as advice and reflections from instructors who field-tested the modules. Teaching Mathematics Through Cross-Curricular Projects is aimed at anyone wishing to demonstrate the utility of pure mathematics across a wide selection of real-world scenarios and academic disciplines. Even the most experienced instructor will find something new and surprising to enhance their pure mathematics courses.

Welcome to The Mathematical Playground, a book celebrating more than thirty years of the problems column in the MAA undergraduate magazine, Math Horizons. Anecdotes, interviews, and historical sketches accompany the puzzles, conveying the vibrancy of the “Playground” community. The lively prose and humor used throughout the book reveal the enthusiasm and playfulness that have become the column's hallmark. Each chapter features a theme that helps illustrate community: from the Opening Acts—chronicling how interesting questions snowball into original research—to the Posers and Solvers themselves. These stories add an engaging dimension beyond the ample mathematical challenge. A particular highlight is a chapter introducing the seven editors who have produced “The Playground”, revealing the perspectives of the individuals behind the column. The Mathematical Playground has plenty to offer both novice and experienced solvers. The lighthearted, conversational style, together with copious hints, a problem-solving primer, and a detailed glossary, welcomes newcomers, regardless of their background, to the puzzle-solving world. The more seasoned solver will find over twenty new problems plus open-ended challenges and suggestions for further investigation. Whether you're a long-time Math Horizons reader or encountering “The Playground” for the first time, you are invited into this celebration of the rich culture of recreational mathematics. Just remember the most important rule ... Have fun!