6 Summary

Mathematics learning, especially about proof, is often seen by students to be wholly about learning and memorising facts and procedures. Developing mathematical reasoning with students not only allows them to construct mathematical ‘truths’ for themselves but also helps them to understand mathematics. Reasoning mathematically requires them to explore and use mathematical properties to make their arguments. Constructing mathematical reasoning in this way is often considered to be the beauty of the subject, and is certainly one of the core concepts of the subject. By working with your students on proof you are inviting them to act as mathematicians and to appreciate some of the fascination of mathematics.

Pause for thought Identify three ideas that you have used in this unit that would work when teaching other topics. Make a note of two topics you have to teach soon where those ideas can be used, perhaps with some small adjustments.