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

Chaos

Chaos

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Much of formal education... feels like learning the pieces of a picture puzzle that never gets put together, or learning about the puzzle without being able to touch the pieces.

—David Perkins, Founding Member of Project Zero, Harvard Graduate School of Education

One must still have chaos in oneself to be able to give birth to a dancing star.

—Friedrich Nietzsche, German Philosopher, Critic, and Poet

Features of Effective Math Instruction

In a survey of research about how classroom teaching methods can affect student learning, Hiebert and Grouws (2007) find only two features of teaching that have enough evidence to confidently say they have a significant impact on student conceptual understanding of mathematics. The first is when teachers and students explicitly attend to concepts (as opposed to ...

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