This is a rich resource of ideas and examples that should be essential reading to all those involved in developing courses and programmes for stimulating students who are considering higher education in the mathematical sciences. Three opening essays take stock of the progress women have made in mathematics in the past twenty years, and are accompanied by quantitative comparisons between male and female students that have striking implications for teachers of mathematics. The heart of the book is a collection of articles about how to teach topics not usually found in the undergraduate curriculum; they provide practical advice about how to help students to achieve their potential. A final part gives detailed information on model teaching programmes that can serve as case-studies.