Episode 148: Conjecturing!

Principles to Actions, published by the National Council of Teachers of Mathematics (NCTM), is a seminal work in mathematics education. It outlines eight research-based teaching practices that support effective mathematics instruction. The book emphasizes the importance of creating a positive learning environment, using effective questioning techniques, and providing opportunities for students to engage in mathematical reasoning. It also highlights the role of assessment in informing instruction and promoting student learning. Principles to Actions serves as a valuable guide for teachers, administrators, and policymakers seeking to improve mathematics education.

Peter Liljedahl's "Building Thinking Classrooms" is a seminal work in mathematics education, focusing on creating a classroom environment that fosters independent thinking and problem-solving. The book emphasizes the importance of establishing routines and structures that empower students to take ownership of their learning. It advocates for the use of non-permanent vertical workspaces, such as whiteboards, to encourage collaboration and discussion. Liljedahl's approach challenges traditional teaching methods, shifting the focus from direct instruction to student-led inquiry. The book provides practical strategies and examples for implementing these principles in various classroom settings.

Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children that they can enjoy and succeed in math. The book bridges the gap between research findings and practical teaching methods by translating Carol Dweck's concept of 'mindset' into math teaching and parenting strategies. It explains how the brain processes mathematics learning, how to turn mistakes into valuable learning experiences, and how to replace rote learning with rich mathematical activities. The book also discusses ways to give students a positive math mindset and how assessment and grading policies need to change to support real understanding.