"Through personal anecdotes, mathematical explanations, helpful teaching and learning tips, and clear and understandable descriptions of psychological and educational research, Newton and Sword have written a delightful book that is readable, informative, and enlightening. Anyone interested in mathematics teaching and learning—from undergraduate and graduate students, to preservice and inservice teachers, to parents, and school administrators—will find a lot to like in this book."—Jon R. Star, Professor of Education Harvard Graduate School of Education, USA"This book is in a rarified genre that is so desperately needed in mathematics education: a cross-disciplinary study of learning and understanding in mathematics. The authors, who are expert teachers, expositors, and scholars, synthesize the perspectives of mathematicians, educational psychologists, and mathematics educators. Especially noteworthy are the many examples, all of which are non-technical but show the essential ideas in each of the three disciplines."—Al Cuoco, Distinguished Scholar and Advisor, Education Development Center, USA