Includes bibliographical references and index.

Foreword by Mark Barnes Preface Acknowledgements About the Author Chapter 1. Math for the 21st Century and Beyond Mathematics as Literacy Mathematics as an Innovation Incubator Goals of This Book What Else to Expect For PLC and Study Groups Chapter 2. Classroom Environment: A Medium for Change Why Classroom Culture? Depth and Rigor A Focus on the Practices The 5 Principles of the Modern Mathematics Classroom For PLC and Study Groups Chapter 3. Conjecture The Power of Mysteries The Curious Brain Problem Solving Is a Cycle, Not a Recipe Grades K-3 Grades 2-5 Grades 4-7 Grades 6-9 Grades 8-12 Technology Integration for Conjecture: Case Studies For PLC and Study Groups Chapter 4. Communication The Mysterious Mathemagical Mind Trick First and Foremost, Communicate Six Levels of Mastery Grades K-3 Grades 2-5 Grades 4-7 Grades 6-9 Grades 8-12 Technology Integration for Communication: Case Study For PLC and Study Groups Chapter 5. Collaboration But, Isn't That Cheating? Recognizing, Defining, and Representing Problems Grades K-3 Grades 2-5 Grades 4-7 Grades 8-12 Grades 6-9 Technology Integration for Collaboration: Case Study For PLC and Study Groups Chapter 6. Chaos Features of Effective Math Instruction Disorganized Chaos Productive Struggle Grades K-3 Grades 2-5 Grades 4-7 Grades 6-9 Grades 8-12 Technology Integration for Chaos: Case Studies For PLC and Study Groups Chapter 7. Celebration Today, We Celebrate Cautions About Celebration Grades K-3 Grades 2-5 Grades 4-7 Grades 6-9 Grades 8-12 Digital Tools and Resources for Celebration Technology Integration for Celebration: Case Study For PLC and Study Groups Chapter 8. Becoming a Problem-Solving Classroom Transformation Is Possible Self-Assessment Goal-Setting and Planning Maintaining Your Momentum Appendix: Digital Tools References Index

Five Principles of the Modern Mathematics Classroom offers new ideas for inspiring maths students by building a more engaging and collaborative learning environment.