Students pursue problems they’re curious about, not problems they’re told to solve. Creating a math classroom filled with confident problem solvers starts by introducing challenges discovered in the real world, not by presenting a sequence of prescribed problems, says Gerald Aungst. In this groundbreaking book, he offers a thoughtful approach for instilling a culture of learning in your classroom through five powerful, yet straightforward principles: Conjecture, Collaboration, Communication, Chaos, and Celebration. Aungst shows you how to  • Embrace collaboration and purposeful chaos to help students engage in productive struggle, using non-routine and unsolved problems  • Put each chapter’s principles into practice through a variety of strategies, activities, and by incorporating technology tools  • Introduce substantive, lasting cultural changes in your classroom through a manageable, gradual shift in processes and behaviors Five Principles of the Modern Mathematics Classroom offers new ideas for inspiring math students by building a more engaging and collaborative learning environment. “Bravo! This book brings a conceptual framework for K-12 mathematics to life. As a parent and as the executive director of Edutopia, I commend Aungst for sharing his 5 principles. This is a perfect blend of inspiring and practical. Highly recommended!” Cindy Johanson, Executive Director, Edutopia George Lucas Educational Foundation “Aungst ignites the magic of mathematics by reminding us what makes mathematicians so passionate about their subject matter. Grounded in research, his work takes us on a journey into classrooms so that we may take away tips to put into practice today.” Erin Klein, Teacher, Speaker, and Author of Redesigning Learning Spaces

Communication

Communication

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To effectively communicate, we must realize that we are all different in the way we perceive the world and use this understanding as a guide to our communication with others.

—Tony Robbins, Motivational Speaker and Life Coach

If you can’t explain it simply, you don’t understand it well enough.

—Albert Einstein, Theoretical Physicist, Authority on Philosophy of Science

The Mysterious Mathemagical Mind Trick

“Go right to your seats and get ready for math,” I said as I brought my fifth graders back to the classroom from lunch.

“What’s that, Mr. Aungst?” asked Kelly, pointing at a large manila envelope propped on the chalk tray. Several students paused to look. Momentarily confused, I turned and saw a mysterious and somewhat ominous directive written in large, red, block letters: “DO ...

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