Foreword / Alan H. Schoenfeld -- 1. Introduction -- 2. The Schools, Students, and Research Methods -- 3. An Introduction to Amber Hill and Phoenix Park Schools -- 4. Amber Hill Mathematics: Experiences and Reflections -- 5. Phoenix Park Mathematics: Experiences and Reflections -- 6. Finding Out What They Could Do -- 7. Exploring the Differences -- 8. Knowledge, Beliefs, and Mathematical Identities -- 9. Girls, Boys, and Learning Styles -- 10. Ability Grouping, Equity, and Survival of the Quickest -- 11. Looking to the Future