5 Summary

This unit has focused on similarity and congruence in triangles, and on developing mathematically resilient learners who develop a positive stance towards mathematics and know they can overcome difficulties they encounter in learning the subject. In reading this unit you will have thought about how to enable your students to develop their vocabulary so that they can talk about their ideas and explain their conceptions (and their misconceptions) to other students and adults alike. You will also have considered how to help your students to understand that making mistakes is a vital part of learning, and that exploring and persevering are important skills to acquire if they are to be successful learners of mathematics.

You will have also seen how reflecting on the learning process is important in becoming better at learning in general. Mathematically resilient learners are much more likely to succeed in examinations because they are not discouraged by difficulties, but rather seek ways to overcome them, and will have the tools they need to carry on using mathematical ideas in their lives beyond school.

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