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Building Thinking Classrooms in Mathematics, Grades K-12: 14 Teaching Practices for Enhancing Learning Paperback – 16 October 2020

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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.

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"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." -- Dan Meyer "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." -- Peg Smith "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!" -- Laura Wheeler "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." -- Matthew Oldridge "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." -- Leslie Mohlman "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." -- Carole Fullerton "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." -- John Almarode "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." -- Kyle Pearce "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!" -- Fawn Nguyen "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." -- Casey McCormick "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." -- Nat Banting "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." -- Yana Ioffe "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." -- Kenneth Davis "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." -- Mishaal Surti "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." -- David Wees

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).


Product details

  • Publisher ‏ : ‎ Corwin
  • Publication date ‏ : ‎ 16 October 2020
  • Language ‏ : ‎ English
  • Print length ‏ : ‎ 346 pages
  • ISBN-10 ‏ : ‎ 1544374836
  • ISBN-13 ‏ : ‎ 978-1544374833
  • Item weight ‏ : ‎ 703 g
  • Dimensions ‏ : ‎ 17.78 x 1.98 x 25.4 cm
  • Part of series ‏ : ‎ Corwin Mathematics Series
  • Customer Reviews:
    4.8 out of 5 stars 1,777 ratings

About the author

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Peter Liljedahl
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Dr. Peter Liljedahl is a Professor of Mathematics Education at Simon Fraser University in Vancouver, Canada. He is the current president of the Canadian Mathematics Education Study Group (CMESG), past-president of the International Group for the Psychology of Mathematics Education (IGPME), editor of the International Journal of Science and Mathematics Education (IJSME), on the editorial board of five major international journals, and a member of the NCTM Research Committee. Peter has authored or co-authored numerous books, book chapters, and journal articles on topics central to the teaching and learning of mathematics. He is a former high school mathematics teacher who has kept his research close to the classroom. He consults regularly with teachers, schools, school districts, ministries of education, and universities on issues of teaching and learning, assessment, and numeracy. Peter is a sought after presenter who has given talks all over the world on the topic of Building Thinking Classrooms, for which he has won the Cmolik Prize for the Enhancement of Public Education and the Fields Institute's Margaret Sinclair Memorial Award for Innovation and Excellence in Mathematics Education.

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This would be no stars if I could rate it.
Just got around to opening my packaging as I purchased for my new role that begin this year. Completely damaged with back page ripped and part of it missing and a ridiculously expensive book for something of this condition. Very upset as there is no way the right can use this in my work place or loan out to colleagues.
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Top reviews from Australia

  • Reviewed in Australia on 5 April 2025
    Format: PaperbackVerified Purchase
    As ordered in new condition. Arrived Quickly
  • Reviewed in Australia on 14 April 2023
    Format: PaperbackVerified Purchase
    So much useful practical ideas and details of how to implement the recommendations. It's clearly been written to help teachers put the ideas into practice. Lots of helpful Q&As and chapter takeaways at the end of each chapter. Would highly recommend to any teachers of Maths, whether new graduates or seasoned veterans.
  • Reviewed in Australia on 29 May 2023
    Format: KindleVerified Purchase
    New tricks for old dogs aint that fun. I was too ambitious in thinking that I can adapt to reading digital books. It turned out that i was not ready for the paradigm shift. I personally find it painful navigating through the dynamically changing page content configuration to adjust to the reading device. Kindle is not for me at least for the time being. I ended up ordering the hardcopy version. from Amazon, of course.
  • Reviewed in Australia on 24 January 2023
    Format: PaperbackVerified Purchase
    Just got around to opening my packaging as I purchased for my new role that begin this year. Completely damaged with back page ripped and part of it missing and a ridiculously expensive book for something of this condition. Very upset as there is no way the right can use this in my work place or loan out to colleagues.
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    1.0 out of 5 stars
    This would be no stars if I could rate it.

    Reviewed in Australia on 24 January 2023
    Just got around to opening my packaging as I purchased for my new role that begin this year. Completely damaged with back page ripped and part of it missing and a ridiculously expensive book for something of this condition. Very upset as there is no way the right can use this in my work place or loan out to colleagues.
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  • Chegou todo destruído
    2.0 out of 5 stars Chegou todo destruído
    Reviewed in Brazil on 30 April 2023
    Format: PaperbackVerified Purchase
    Chegou nesse estado. Com a capa rasgada
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    Chegou todo destruído
    2.0 out of 5 stars
    Chegou todo destruído

    Reviewed in Brazil on 30 April 2023
    Chegou nesse estado. Com a capa rasgada
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  • KB
    5.0 out of 5 stars Very readable and answers all my questions
    Reviewed in the United Kingdom on 18 June 2022
    Format: PaperbackVerified Purchase
    I think this is the book which which will have the biggest impact on my teaching put of all I've read. So many good ideas and aha moments!
  • Amazon Customer
    5.0 out of 5 stars Great for teaching.
    Reviewed in Canada on 16 June 2025
    Format: PaperbackVerified Purchase
    My sister is a teacher and she loves books like this for teaching.
  • AGM
    5.0 out of 5 stars Buen libro con buenas dinámicas
    Reviewed in Spain on 5 June 2024
    Format: PaperbackVerified Purchase
    Un gran libro, con buenas dinámicas con las que puedes utilizar para que tus alumnos reflexionen y se paren a pesar más allá de las típicas preguntas.
  • BigSur
    5.0 out of 5 stars Game Changer: Math Teachers Owe it to Themselves to Read This Book
    Reviewed in the United States on 22 June 2021
    Format: PaperbackVerified Purchase
    Peter Liljedhahl has written maybe the most important and practical book that just can't be ignored by teachers of math. As a sixth grade teacher, I have searched for a book that could help me "put it all together" to complete a move away from the repetitive "I do, we do, you do" method of math instruction that is STILL so prevalent in our schools. Even teachers who may have in the past resisted changing their practices because they just weren't sure how will be able to do it with the help of the practices outlined in his book.

    I'm pretty skeptical about a lot of teaching books, because they often leave me disappointed. They are often full of theory and never get practical or explain how the ideas actually worked with real students. Many are "here are some important big ideas now go figure out how that translates into the real practical world of your classroom--good luck!"

    What I most appreciate about Building Thinking Classrooms in Mathematics is that Peter's research comes from having been in the classrooms of many teachers over many years. It's easy to doubt ideas that come from folks who are "coaches" and don't live the day-to-day reality of an actual classroom. Peter supports his teaching practices and elaborates on what aspects were shown to be most effective in real classrooms. If you're a classroom teacher, you'll know what I mean. He even relates what he thought would happen and is honest about results that either confirmed or changed what he originally thought.

    Each chapter is so well-organized (and organized similarly) so that everything is easy to follow. I found myself highlighting key points and then the end of each chapter would have a super helpful summary of the macro-move for the practice and a series of micro-moves. So effective. I have heard of and incorporated several of these practices in the past but nowhere else have I seen a book that pulls so many effective practices together in one place and even organizes them such that the early practices can be incorporated first and then the rest added when ready. I am so grateful I have read this over the summer, as it will greatly influence my practices from day 1 of my upcoming school year.

    Peter asks this question at the end of each chapter: "What are some of the things in this chapter that immediately feel correct?" I love that because in almost every instance I thought, "All of it!"

    Another tremendous contribution of this book includes a discussion of rubrics and grading, two areas that are often not discussed as much amongst my colleagues and I because we can rarely find consensus and typically revert back to what we've always done. Peter's ideas on rubrics have changed the way I will use them (most rubrics have WAY too much ambiguity to be used effectively by teachers or students or are so cumbersome they are overwhelming). His explanation of an alternative way to construct rubrics make SO much sense and will be helpful. And the grading chapter is an excellent beginning to rethinking how we can give grades (since most of us have to) in a way that will value what is important. I think that will still be the most challenging thing for me--Peter offers one good method of getting data, but it still seems like it could be time-intensive to me. I am more than willing to give it a try, however, because it is much better than the alternative.

    As a classroom teacher for almost 30 years, I can truly say without a doubt this book is the BEST in making a complete case for improving math instruction and moving toward a THINKING classroom, and SHOWS YOU HOW. How many times have you thought in your heart, "this practice is probably not the best but I'm so overwhelmed with the day-to-day demands on me as a teacher I can't figure it out so I'll just stick with what I'm doing." I know this has happened to me. This book will help move you into action to change some of those practices!

    I am so excited to implement what I have learned this upcoming school year. I want all of my students to view themselves as "thinkers" and enjoy math as much as I do.

    If you teach math in any capacity, you owe it to yourself to grab a copy of this book. You'll be so glad you did.