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5 Principles of the Modern Mathematics Classroom

Creating a Culture of Innovative Thinking
By: Gerald Aungst

Foreword by Mark Barnes

Students learn best from real-world challenges, not prescribed problems, says Aungst. Five Principles shows how to create a collaborative culture of learning in your classroom.

Full description


Product Details
  • Grade Level: PreK-12
  • ISBN: 9781483391427
  • Published By: Corwin
  • Series: Corwin Mathematics Series
  • Year: 2015
  • Page Count: 200
  • Publication date: October 14, 2015
Price: $32.95
Volume Discounts applied in Shopping Cart

Review Copies

Review copies may be requested by individuals planning to purchase 10 or more copies for a team or considering a book for adoption in a higher ed course. To request a review copy, contact sales@corwin.com.

Description

Description

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!


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.
Author(s)

Author(s)

Gerald Aungst photo

Gerald Aungst

Gerald Aungst has nearly 30 years experience as a professional educator, specializing in design thinking, computer science, mathematics, gifted education, and digital technology. In his various roles as a classroom teacher, gifted support specialist, administrator, curriculum designer, and professional developer, he has worked to create a rich and vibrant learning culture. Gerald is a founder of AllAboutExplorers.com and GamifyED.net.

Since 2016, Gerald has served as the gifted support and STEM teacher at Cheltenham Elementary School in the Cheltenham School District, Pennsylvania. He led the development and launch of the school’s makerspace, and worked on the team developing the district’s K-12 computer science curriculum. Gerald is also an adjunct faculty member at Holy Family University in Philadelphia and the University of Iowa.

An experienced speaker, Mr. Aungst gave the keynote address at the 2016 EIRC Gifted and Talented Learning Fair. He was also a member of the keynote panel and a featured presenter at Digital Learning Day 2013. He has presented on a wide range of topics including curiosity, makerspaces, and gamification at many regional and national conferences, including ISTE, Educon, NAGC, PCTM, PETE&C, ITEC, FETC, and Carnegie-Mellon University.

Gerald holds a bachelor’s degree from Penn State University and a master of education degree from Widener University. You can find him on Twitter at @geraldaungst and on the web at www.geraldaungst.com.

Table of Contents

Table of Contents

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


Reviews

Reviews

Price: $32.95
Volume Discounts applied in Shopping Cart

Review Copies

Review copies may be requested by individuals planning to purchase 10 or more copies for a team or considering a book for adoption in a higher ed course. To request a review copy, contact sales@corwin.com.