Includes bibliographical references.

Some students think mathematically. They have the curiosity to notice relationships, the confidence to ask why, and the knowledge to understand the answer. They are the lucky ones. Many others just 'do' maths. They look at a question, think about how to answer it, answer it, and then move on. In this book, Craig Barton offers an approach to help all our students think mathematically. It requires the careful sequencing of questions and examples, the role of the teacher, and the mathematical behaviour of our students. It has transformed his teaching.