Are you sure? Learning about proof

The idea of proof is vital to the activity of the mathematician. In establishing the truth of propositions, proofs provide understanding and insight, which add greatly to the intrinsic fascination of mathematics as a subject. Proofs require chains of reasoning: understanding logical arguments and being able to generate such arguments successfully for yourself are key elements of all mathematical learning. Learning about proof is therefore an essential part of school mathematics at all levels. 'Are You Sure?' discusses some of the issues involved in learning about proof in the secondary school. Many proofs are very simple and can be appreciated by a wide range of students.

The book provides teachers with a wide variety of classroom ideas and examples drawn from a variety of topics from the school mathematics curriculum at different levels. Questions and exercises are provided throughout with detailed commentaries included. The book aims to make proof more accessible and enlightening to all who study mathematics. It is a valuable source of ideas for teachers and a useful book for abler school students and those studying mathematics at a higher level.