Reports on what is gained by listening to school students, undergraduates and adult learners. Suitable for secondary teachers, classroom assistants, adult numeracy tutors and lecturers, and for people preparing for these roles, this book considers the place of learners' voices in their own future teaching.

This book is firmly based on listening to people in secondary schools and beyond as they go about discovering, learning and doing mathematics. Chapters report on what is gained by listening to school students, undergraduates and adult learners. Sometimes the listening is informal; sometimes it is based on mathematics lessons or interviews. The accounts are used as models on which to base discussion of issues about mathematical understanding and about the views held about mathematics and approaches to it.