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Mathematics Tasks for the Thinking Classroom, Grades 6-12
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Mathematics Tasks for the Thinking Classroom, Grades 6-12

Illustrations by Laura Wheeler



September 2025 | 560 pages | Corwin

Practical and proven math tasks to maximize student thinking and learning

Building upon the blockbuster success of Building Thinking Classrooms in Mathematics, Peter Liljedahl has joined forces with co-author Kyle Webb to bring the Building Thinking Classrooms (BTC) framework to life in this new book, Mathematics Tasks for the Thinking Classroom, Grades 6-12.

But this book is so much more than simply a collection of good thinking tasks. It delves deeper into the implementation of the 14 practices from the BTC framework by updating the practices with the newest research, and focusing on the practice through the lens of rich math tasks that address specific mathematical learning outcomes or standards. Across the 20 non-curricular tasks and 30 curricular tasks used as models, this book:

  • Helps you choose tasks to fit your particular math standards, goals, and the competencies you want your students to build
  • Walks you through all the steps and scripts to launch, facilitate, and consolidate each task
  • Shares examples of possible student solutions along with hints you might offer to help their thinking along
  • Offers tasks for consolidation, example notes to my future forgetful self, and mild, medium, and spicy check-your-understanding questions (CYUs) for every thin sliced sequences of curricular tasks
  • Imparts reflections from the authors on each task

The book closes with specific guidance on how to find more tasks or craft your own non-curricular and curricular tasks, along with answers to educators’ frequently asked questions. It includes access to a companion website that includes downloadables and a task template for creating your own tasks.

Whether you are new to BTC or a seasoned user, Mathematics Tasks for the Thinking Classroom, Grades 6-12 will help teachers, coaches, and specialists transform traditional math classrooms into dynamic and thought-provoking learning spaces. Mathematics Tasks for the Thinking Classroom, Grades K-5 is also available to create district-wide thinking classrooms!


 
Introduction
 
Part 1: In Review and In the New
 
Chapter 1: What Kinds of Tasks to Use
 
Chapter 2: How, When, and Where to Give Tasks
 
Chapter 3: How to Build and Utilize Student Autonomy
 
Chapter 4: How to Use Hints and Extensions to Maintain Flow
 
Chapter 5: How to Consolidate the Task(s)
 
Chapter 6: How to Have Students Make Meaningful Notes
 
Chapter 7: How to Have Students do Check-Your-Understanding Questions
 
Chapter 8: How to Use Tasks as the Context to Improve Student Competencies
 
Chapter 9: What Does a Lesson Look Like in a Thinking Classroom?
 
Part 2: Non-Curricular Tasks
 
Part 3: Curricular Tasks
 
Part 4: From Page to Practice
 
Epilogue
 
References

A great resource to encourage the most important goal of all—students doing the mathematical thinking!

Jo Boaler
Stanford University
Stanford, CA

If you love Building Thinking Classrooms in Mathematics but want more examples of tasks you can use with your middle and high school students, this is the book you’ve been waiting for. It goes deeply into fifty tasks, how to launch them, the task sequence, how to consolidate them, what student notes might look like, check-your-understanding questions you can use, as well as notes from Peter Liljedahl and Kyle Webb. It’s a wonderful compliment to the main BTC book.

Robert Kaplinsky
Open Middle
Lakewood, CA

Peter Liljedahl’s work continues to be a game-changer in mathematics education. With co-author Kyle Webb, this expansion of Building Thinking Classrooms in Mathematics to include manipulatives and technology isn’t just a welcome addition, it’s an equity move that empowers students to express their thinking and be recognized as capable, insightful problem-solvers.

Pamela Seda
Seda Educational Consulting, LLC
Atlanta, GA

This book doesn’t just help you choose better tasks—it helps you create better math experiences. For students with math trauma, that’s the first step towards rebuilding confidence, curiosity, and trust in the classroom!

Vanessa “The Math Guru” Vakharia
Toronto, Ontario, Canada

Peter Liljedahl and Kyle Webb deliver what middle and high school math teachers are craving: tangible ways to make complex topics accessible, stimulate deep thinking and discussions, and supercharge learning for each student. These tried-and-true tasks, along with updated BTC practices for both die-hards and newcomers alike. They not only provide teachers with something awesome to try right away, but also valuable skills to design their own thinking tasks.

Jason To
Toronto, Ontario, Canada

Always practical and rooted in real classrooms, this follow-up builds on the original book Building Thinking Classrooms in Mathematics with research updates and thinking tasks already tried with students. Each task is fully supported—from launch to consolidation to check-your-understanding questions. More than a resource, this is a transformative guide that centers access and equips you for the flow, challenge, and joy of getting students thinking.

Fawn Nguyen
Amplify
Oak View, CA

This is a game changer for grades 6 to 12 teachers and students! Blending the latest research with fifty ready-to-use lessons, it supports engagement, thinking, and deep learning of curricular outcomes, and it shows you how to design your own. A must-read for anyone building thinking classrooms—practical tools, deep thinking, and joyful learning all in one book.

Alicia Burdess
Grande Prairie and District Catholic Schools
Grande Prairie, Alberta, Canada

I cannot stress enough how incredibly useful this book is in supporting my work with students and teachers. The wide array of rich tasks gives me lots of options and allows me to focus my attention on planning and preparing the learning experiences rather than creating or searching for highly engaging thinking tasks. This is a must-have resource for all middle and high-school math teachers and providers of professional development.

Mike Flynn
Flynn Educational Consulting
Northampton, MA

Peter Liljedahl has once again given us a book that is as practical as it is transformative. With his trademark clarity and vision, he shows secondary math teachers how to create classrooms where all students can engage deeply and meaningfully in mathematics. A must-read for anyone committed to reimagining math teaching in ways that promote student thinking and engagement.

Howie Hua
Fresno State
Fresno, CA

This masterpiece serves as an invaluable resource for grades 6–12 mathematics educators everywhere. Its updated research and rich tasks will empower both beginning and seasoned teachers with making a thinking classroom an immediate reality.

Tim Brzezinski
New Haven, CT

For instructors

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ISBN: 9798348846404

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