ABSTRACT
This chapter is designed to help you deepen your understanding of mathematical proof and how it is linked with other forms of reasoning and ways of understanding in school mathematics. It is also intended to show that learning to prove in a mathematically acceptable way is difficult for pupils (at school) and even students (in Higher Education). Principal forms of mathematical proof relevant for school mathematics are introduced within the text through discussion of a related mathematics education or a curricular issue.1 We aim to prompt your ideas about how to teach mathematics in a manner such that proof is natural, integral and vital. To start with we give one curriculum’s outline of progression in proof as this will establish a working vocabulary for the various aspects of mathematical proof in school mathematics.
