The study of proof in mathematics has historically been restricted to the geometry strand of the curriculum and studied at secondary school years. This book challenges the traditional treatment of proof. The authors show how school mathematics (not just geometry) is rich in opportunities for students to explore patterns, to seek and describe generalisations, and to make and prove conjectures. From Conjecture to Proof is about learning proof and acquiring skills of constructing proof. It is a book for teachers and teachers in training, which revisits the ideas of mathematical proof in a way that encourages students to learn by ‘doing’.