Building Thinking Classrooms in Mathematics

Building Thinking Classrooms in Mathematics presents research-based strategies for transforming mathematics education. The book outlines 14 practices that teachers can implement to foster student engagement and mathematical thinking. The text breaks down each practice into manageable steps, supported by evidence from hundreds of classroom observations. Dr. Liljedahl documents the impact of specific changes like vertical non-permanent surfaces, visibly random grouping, and problem-solving approaches. The methodology focuses on creating classroom environments where students collaborate, take intellectual risks, and develop deeper mathematical understanding. Implementation guidance includes practical considerations for different grade levels, subject areas, and institutional contexts. This work challenges traditional mathematics teaching methods and offers a framework for lasting pedagogical change. At its core, the book addresses fundamental questions about how students learn mathematics and what conditions enable authentic mathematical thinking.

Teachers report transforming their math classrooms using the book's 14 research-based practices. Many reviewers implemented vertical non-permanent surfaces (whiteboards) and random grouping with immediate success. Multiple teachers note increased student engagement and participation. Readers liked: - Clear, practical steps that can be implemented immediately - Research basis behind each practice - Real classroom examples and troubleshooting tips - Focus on building student thinking rather than compliance Common criticisms: - Some practices require significant classroom setup/materials - Limited discussion of assessment methods - Can be overwhelming to implement all practices at once Ratings: Goodreads: 4.65/5 (226 ratings) Amazon: 4.8/5 (484 ratings) "This book gave me concrete ways to get students thinking mathematically instead of just completing procedures," noted one teacher reviewer. Another mentioned: "The practices work across grade levels - I've seen success with both elementary and high school students."

Mathematical Mindsets by Jo Boaler Research-based strategies transform mathematics instruction through brain science and learning mindset principles.

Principles to Actions by National Council of Teachers of Mathematics Research-based teaching practices establish connections between mathematical content and student thinking.

5 Practices for Orchestrating Productive Mathematics Discussions by Margaret Smith and Mary Kay Stein Framework guides teachers to select tasks, anticipate responses, and facilitate mathematics discourse in classrooms.

Becoming the Math Teacher You Wish You'd Had by Tracy Johnston Zager Mathematics teaching practices focus on student reasoning, mathematical discourse, and deep conceptual understanding.

Teaching Student-Centered Mathematics by John Van de Walle, Karen Karp, and Jennifer Bay-Williams Research-grounded methods develop students' mathematical thinking through problem-solving and conceptual understanding.

🔵 Peter Liljedahl spent over 15 years conducting classroom-based research across more than 400 classrooms to develop his 14 teaching practices for building thinking classrooms. 🔵 The book challenges the traditional belief that students should sit in rows, suggesting instead that having students work while standing at vertical non-permanent surfaces (like whiteboards) significantly increases engagement and learning. 🔵 One key finding in the research shows that randomly grouping students daily leads to better mathematical thinking and collaboration compared to teacher-selected or student-selected groups. 🔵 The author discovered that giving students tasks before teaching methods—rather than after—creates more authentic problem-solving experiences and deeper mathematical understanding. 🔵 The research revealed that a "thinking classroom" typically takes about 3-4 weeks to establish, but once in place, can maintain itself with minimal teacher intervention for the remainder of the school year.