In this revised and expanded edition of the 1997 Open University text, Boeler (Stanford U.) examines the experiences of students and teachers in two English schools using vastly different methods of teaching mathematics. The new edition includes a foreword by Alan Schoenfeld (UC-Berkeley) and a preface by Boeler, who has lived in the U.S. the past few years. In rewriting the text for an American audience, the author incorporates insights from living in this country, and compares the results of her 3-year English study with research in the U.S. For mathematics teachers and researchers, education policymakers, and students in mathematics education courses.