5 Principles of the Modern Mathematics Classroom
Creating a Culture of Innovative Thinking
- Gerald Aungst - School District of Cheltenham Township; Elkins Park, PA
Foreword by Mark Barnes
Corwin Mathematics Series
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
Take a look at Gerald describe why you need this book!
| Mathematics as Literacy |
| Mathematics as an Innovation Incubator |
| Goals of This Book |
| What Else to Expect |
| For PLC and Study Groups |
| Why Classroom Culture? |
| Depth and Rigor |
| A Focus on the Practices |
| The 5 Principles of the Modern Mathematics Classroom |
| For PLC and Study Groups |
| 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 |
| 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 |
| 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 |
| 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 |
| 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 |
| Transformation Is Possible |
| Self-Assessment |
| Goal-Setting and Planning |
| Maintaining Your Momentum |
HEOA Compliance
Available formats
| ISBN: 9781506301624 | Electronic Version | Suggested Retail Price: $29.95 | Bookstore Price: $23.96 |
| ISBN: 9781483391427 | Paperback | Suggested Retail Price: $29.95 | Bookstore Price: $23.96 |
Should you need additional information or have questions regarding the HEOA information provided for this title, including what is new to this edition, please email sageheoa@sagepub.com. Please include your name, contact information, and the name of the title for which you would like more information. For information on the HEOA, please go to http://ed.gov/policy/highered/leg/hea08/index.html.