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5 Principles of the Modern Mathematics Classroom
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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



© 2016 | 200 pages | Corwin

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!

 
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
Key features
  • Introduces a way to teach math that will inspire students and which is in line with the Common Core State Standards for Math.
  • Filled with practical tips for teachers that will infuse the magic of math into the culture of the classroom.
  • Offers guidance to teachers so that they can nurture students into becoming confident and life-long problem solvers.
  • Includes classroom routines and techniques that teachers can implement to support the five principles: Conjecture, Communication, Collaboration, Chaos, and Celebration.
  • Includes real classroom vignettes to illustrate the routines
  • Each chapter highlights how digital technology can be utilized to facilitate the learning and teaching of math
  • Each chapter will provide specific strategies targeted to five grade bands: K-3, 2-5, 4-7, 6-9, 8-12, ensuring that teachers at all levels will find useful tools and strategies for their students.
  • Provides guidance for assessing the current state of a given classroom culture, designing a plan for implementing the framework, and for creating the support system which will enable teachers to sustain the changes they want to see in their classrooms.

Sample Materials & Chapters

The 5 Principles

Chapter 3 Excerpt


Preview this book

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ISBN: 9781483391427
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