This project, "Many Right Answers: Learning in mathematics through speaking and listening", was initiated to address two issues in the teaching of secondary mathematics: (1) speaking and listening and its relevance to engaging the disengaged; and (2) the use of speaking and listening by teachers of mathematics as part of their Continuous Professional Development (CPD). Although aimed at teachers of secondary mathematics, many of the concepts, ideas and discussions are likely to apply equally to primary teachers. This paper also aspired to offer something more. This paper wanted: (1) to show the reality of teaching and learning: the ambivalence, the complexity, the jeopardy, the emotions; (2) to explore the complexity of teaching and learning in mathematics; (3) to portray and recognise teachers as highly trained and reflective professionals and to be informed by their thinking and practice; (4) to encourage teachers to try out new ideas inspired by discussions with other practitioners; (5) to be informed by research and educational theories; and (6) to provide a focus on speaking and listening as a tool for learning mathematics and as a tool to make sense of complexity. The passion, the professionalism, the commitment and exchange of ideas this paper wanted to capture are exemplified in the accompanying film; this booklet sets out to explore and develop them further. A bibliography is included.