About the Book
A thinking student is an engaged student
Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide
Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions
Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples
Offers a plethora of macro moves, micro moves, and rich tasks to get started
Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year
When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.
Table of Contents:
Foreword by Tracy Johnston Zager
Introduction
Chapter 1: What Are the Types of Tasks We Use in a Thinking Classroom?
Chapter 2: How We Form Collaborative Groups in a Thinking Classroom
Chapter 3: Where Students Work in a Thinking Classroom
Chapter 4: How We Arrange the Furniture in a Thinking Classroom
Chapter 5: How We Answer Questions in a Thinking Classroom
Chapter 6: When, Where, and How Tasks are Given in a Thinking Classroom
Chapter 7: What Homework Looks Like in a Thinking Classroom
Chapter 8: How We Foster Student Autonomy in a Thinking Classroom
Chapter 9: How We Use Hints and Extensions in a Thinking Classroom
Chapter 10: How we Consolidate a Lesson in a Thinking Classroom
Chapter 11: How Students Take Notes in a Thinking Classroom
Chapter 12: What We Choose to Evaluate in a Thinking Classroom
Chapter 13: How We Use Formative Assessment in a Thinking Classroom
Chapter 14: How We Grade in a Thinking Classroom
Chapter 15: Pulling the 14 Practices Together to Build a Thinking Classroom
References
About the Author :
Dr. Peter Liljedahl (he/him) is a Professor of Mathematics Education in the Faculty of Education at Simon Fraser University, author of the best-selling book, Building Thinking Classrooms in Mathematics (Grades K-12): 14 Teaching Practices for Enhancing Learning, and co-author of the best-selling book, Mathematics Tasks for the Thinking Classroom (Grades K-5). Peter is a former high school mathematics teacher who has kept his research interests and activities close to the classroom. With a passion for fostering deep mathematical thinking and problem-solving skills, Peter has dedicated his career to reshaping classroom environments. His work emphasizes thinking, collaborative learning, and problem solving, leading to more effective and meaningful mathematics education experiences for students of all ages. Through his research-based innovative teaching methods, Peter continues to inspire educators worldwide to create dynamic and thought-provoking learning spaces. He consults regularly with teachers, schools, school districts, and ministries and departments of education on issues of teaching and learning, problem solving, assessment, numeracy, and building thinking classrooms. Peter has authored or co-authored 13 books, 45 book chapters, and 45 research articles on a wide range of topics including creativity in mathematics, the role of beliefs in the teaching and learning mathematics, and building thinking classrooms. He is the recipient of the Cmolik Prize for the Enhancement of Public Education (2017), The Margaret Sinclair Memorial Award Recognizing Innovation and Excellence in Mathematics Education (2018), and the Læringsprisen for Changing the way we think about Education in Denmark (2022).
For information about consulting on Building Thinking Classrooms, go to https://www.buildingthinkingclassrooms.com/consulting
Review :
"Building Thinking Classrooms in Mathematics exudes enthusiasm for students, how they think, and how those thoughts coalesce into powerful thinking classrooms. It′s also deeply practical, describing how everything from the teacher′s questions to the arrangement of the furniture can add to your students′ learning."
"If your students are not the ones doing the thinking in your classroom, then this book is for you! Peter Liljedahl provides concrete advice on each of 14 research-based practices, along with answers to frequently asked questions and suggestions for getting started, which will help you build a classroom where student thinking is the norm."
"Peter Liljedahl’s Thinking Classroom framework transformed my mathematics classroom overnight. I was frustrated that despite my best teaching efforts, some of my students still couldn’t solve simple problems by their final exam. This framework gave me a starting point that I started implementing the very next day and next steps to continue incorporating as my practice evolved. Students began to talk to each other, think through complex problems, rely less on me and more on each other and best of all had better success in the courses I taught. The Thinking Classroom framework was exactly what my students and I needed!"
"Peter refers to his research as ′mucking about,′ and that is the key thing for me, that he goes into actual classrooms, and does math with students. We learn the most from being in actual classrooms, talking to students, and figuring out how they think about mathematics tasks. We need our students to be better thinkers, and to see mathematics for what it is: a beautiful way of thinking. We need them to see that they, too, can have powerful insights into interesting mathematics problems."
"An in-depth action plan backed with significant research and data, Liljedahl’s plan is one that can improve every classroom for the better, and he foresees and addresses any questions or concerns you may have regarding implementation. It is clear Liljedahl understands the students I teach in his list of student behaviors and this book outlines methods to increase the thinking and engagement of all my students. I was able to implement many of the methods the very next day."
"Peter Liljedahl’s work is accessible, inspired by research, and embedded in classroom practice. He digs deeply and concisely into what it means to teach, learn, and assess in a thinking mathematics classroom. Elementary teachers, especially, will recognize themselves in this resource. Peter makes visible the often intuitive moves of elementary classroom teachers, describing what it is we are doing when it all just works, and how to meaningfully shift our practice when it doesn’t. From the way the furniture is arranged to how mathematical questions are posed, from who holds the pen to how to foster productive struggle and resilience, Peter sets the stage for genuine mathematical engagement in learners of all ages."
"Research in education that turns right around and informs our practice is invaluable in today’s schools and classrooms. Peter uses evidence gathered in mathematics classrooms to directly inform how we make changes to our teaching and learning that enhances learning. This is the essence of evidence-based practice, practice based on evidence from the very classrooms we seek to influence."
"After years of leading lessons in an ‘I do, we do, you do’ format, I found that my students lacked a productive disposition towards mathematics and would give up on problems easily. I knew something had to change, but what was I going to change in my teaching practice and how was I going to get there? After 10 years of experimenting with different pedagogical approaches, classroom environment setups, and developing my own content knowledge, I realize that this book is the resource that could have helped me expedite the transformation I was after - moving from a classroom of "mimickers" to building a classroom of "thinkers". Save yourself years of experimentation by investing a few hours reading this excellent book. Your students will thank you."
"Building Thinking Classrooms is an instructional tour de force for any math teacher. From his extensive research, Peter offers remarkably actionable classroom structures and teacher facilitation moves that get students to think and move forward in their thinking. I′m thrilled it′s finally here!"
"For years I have heard about Thinking Classrooms in workshops, articles, and online. This engaging book has taken all the pieces that I have heard and seen and presents them in an easy to read, and more importantly, actionable package. Things that seemed a little too "I could never do that" for me now seem doable and I am inspired to begin to make changes. I am left with plenty to reflect upon in my current practice even as I begin to think about moving to a Thinking Classroom."
"Building Thinking Classrooms prompts us to reflect on the potential of mathematics classrooms, teachers, and learners. Supported by numerous stories from classrooms, Peter methodically exposes the familiar structures of school mathematics that suppress the potential of learners, then carefully outlines a set of opportunities around which teachers of mathematics can organize a dynamic and responsive classroom."
"Though there are many innovations in the area of teaching mathematics, few speak with a particular lens in terms of setting up an environment where thinking is made visible and public, where positive interdependence is connected to individual and group accountability, and where students rely on their own agency as well as the wisdom of their peers. One where the teacher is freed up to have eyes on all student work, and watch the thinking process in action. In other words, thinking becomes a clearly visible driver in this environment. All of this supports the release of responsibility to the students. It honors their voices, allows for the bumps in learning, and makes the thinking more public, thus supporting and encouraging risk-taking in a safe and supportive environment."
"This book is timely and provides an accurate portrayal of what is occurring in mathematics classroom across the country. The book is a valuable reflexive tool that teachers can use as they analyze their own teaching practices."
"Peter’s work in Building Thinking Classrooms has been the single most impactful (driver for) change in secondary mathematics education that I have witnessed. I have never seen another idea/approach/model capture so many teachers immediately, and make it past the point from learning to actual implementation in almost every classroom or instance that I have witnessed."
"For teachers hoping to transform their teaching practice, Peter has written a definitive source. Peter’s conversational style makes this work both interesting to read and easy to follow. He describes a rich set of practices that will help mathematics teachers transform, in a positive way, everything about their classroom. Peter turns the daunting challenge into something manageable with advice that is both believable and practical."
