5 Principles of the Modern Mathematics Classroom

Creating a Culture of Innovative Thinking

"5 Principles of the Modern Mathematics Classroom is an easy-to-read and use book that provides educators with practical strategies and solutions to immediately incorporate into their mathematics classrooms. The design of the book provides classroom teachers an opportunity for deep reflection of their current mathematics instructional practices to ensure that they are creating students who are mathematical thinkers and problem solvers. 5 Principles of the Modern Mathematics Classroom offers teachers strategies to allow their students to wonder freely, work collaboratively with their peers, communicate efficiently, and participate in experimentation and celebration. Using technology as a way to incorporate the principles of a modern mathematics classroom is briefly explored with short explanations of specific tools for each principle. Overall, Aungst has provided his readers with a five principle framework that when incorporated into a classroom, will transform students into mathematicians."

“What does it take to be an excellent teacher? With so many ideas about teaching floating about, it is necessary to capture the essential components and package them for careful consideration. While perspectives for what it actually takes to ensure all students flourish are manifold, it is certain that the aspiring teacher must be constantly reflecting on her practice and expanding her awareness of productive beliefs and actions. To this end, Gerald Aungst has developed a guide ideal for any teacher hoping to find the sweet spot between theory and practice that can easily translate to the classroom. 

Capturing a very complex and hopeful view the nature of a classroom that promotes the success of all students, Gerald Aungst presents illustrations, research, and classroom activities. Simple and engaging, the stories and resources inspire the reader to delve into an entirely unplanned investigation of a new ideas at every turn. The 5 Principles of the Modern Mathematics Classroom are engaging, perplexing, and ripe for exploration and discussion. I'd recommend the read for any teacher looking to better understand what being an excellent teacher means through the lens of the classroom culture and for any PLC looking for a head start in casting a vision for a strong mathematics culture in their school.”

"In 5 Principles of the Modern Mathematics Classroom: Creating a Culture of Innovative Thinking, Gerald Aungst comprehensively describes the characteristics of an environment for mathematical learning which integrates the math practice standards and actively involves students in higher level, inquiry-based thinking.  Aungst’s book holds value for the beginning teacher, who will find a multitude of resources and ideas for establishing an effective mathematics classroom, and for the seasoned teacher, who will be challenged to reflect on her own practice and incorporate the five principles into her math instruction. Coaches and other instructional leaders will find the book well-suited for book study or PLC discussion, with contemplative questions at the conclusion of each chapter. Gerald Aungst’s 5 Principles provides a framework for propelling math learning forward in the twenty-first century."

"Math is linear... Math is neat and tidy... Math is about getting the right answer... Not in this book! Gerald has done an awesome job of showing us what math learning can look like in a way that embraces the messy inquiry and problem-solving that accompanies real world math. Put this book to work and watch your students be amazing!"

"Mathematical thinking critically impacts a learner's capability to process the world around her. The typical math instruction actually degrades a child's capability to see math in the world and to find delight in the messy construction of analytical, critical and creative processes through mathematical thinking. In 5 Principles of the Modern Math Classroom, Gerald Aungst provides a learning path for teachers that leads them to think together and to practice math instruction that makes math real. And that's what great math teachers do – at any age."

"Gerald Aungst is as innovative as he is refreshing in his approach to mathematics instruction. The strategies he describes will make an average teacher excellent and an excellent teacher outstanding. The examples in this book can be used immediately in 1-on-1 conversations with teachers, small group professional development, or large group workshops. Each chapter resonates with his approach to the modern mathematics classroom. This book is an excellent resource for every teacher who teaches mathematics."

"Gerald masterfully reminds us that math education must be more than a “recipe” and challenges us to aid our students in thinking like mathematicians. With practical advice and inspiration, you’ll again find the beauty in math and be empowered to reveal it for your students. Regardless of the age you teach, this book offers a fantastic breakdown of the role of conjecture, collaboration, communication, chaos, and celebration play in transforming your classroom into one where students engage free-range thinking every day."

"Take a good, hard look at your teaching practices! If your math classroom resembles your childhood classroom, then you need to invite Gerald Aungst to the party. His 5 practices will help you transform your teaching so you can develop the critical thinkers of tomorrow. Gone are the days when mathematics instruction was focused solely on procedures. As Gerald describes so astutely in terms of music, we must train our students to be ready to work through unique problems just as we train music students to sight read. Gerald provides sound research and examples from all grade levels, including websites and apps for incorporating technology. He addresses the pressures of state tests and the long-term benefits of an actively-engaged classroom. He supports the premise that ALL students can learn math. Gerald guides you along with reflective questions and suggestions for how to begin. This book is an inspirational must-read, and includes insightful questions for use in a book study. Put it on your reading list and begin the journey."

"Bravo! 5 Principles of the Modern Mathematics Classroom brings a conceptual framework for K-12 mathematics to life. As a parent of a struggling math student and as the executive director of Edutopia, a source for what works in education, I commend Gerald Aungst for sharing his five principles of the modern mathematics classroom. This book is a perfect blend of inspiring and practical. Highly recommended!"

"Gerald Aungst reframes mathematical thinking for the reader, giving space for teachers to go beyond the usual airtight methods for math pedagogy."