2 Your own mathematics
It is crucial to remember that you are a learner of mathematics as well as a teacher. In this course you will be asked to undertake some mathematical tasks. The aim of these tasks is not to improve your mathematics, but to give you experience of doing mathematics for yourself—experience that you can reflect upon subsequently. The reflection is used to develop your awareness of the ways that learners deal with mathematical tasks, and how learners' mathematical thinking is influenced by the ways that tasks are formulated.
Moreover, it is important that you develop the habit of working on mathematics for yourself so that you refresh your awareness of how easy it is to get stuck on a problem, and how learners can use their powers of mathematical thinking to get themselves unstuck.