This text illustrates how children learn mathematics, and then shows pre-service teachers the most effective methods of teaching PreK-8 math through hands-on, problem-based activities. Examples of real student work and new common challenges and misconception tables helps visualize good mathematics instruction and assessment that supports and challenges all learners. This book reflects the Common Core State Standard and NCTM’s Principles to Actions, as well as current research and coverage of the latest teaching technology.

The text is divided into 2 parts. Part one covers the foundations and perspectives of teaching mathematics. The fundamental core of effective teaching of mathematics combines an understanding of how students learn, how to promote that learning by teaching through problem-solving, and how to plan for and assess that learning daily. Part two covers teaching student-centred mathematics. These chapters apply the core ideas of Part I to the content taught in K-8 mathematics. Clear discussions are provided for how to teach the topic, what a learning progression for that topic might be, and what worthwhile tasks look like.