I hope you now have a better idea of what it means to visualise a piece of mathematics.
Visualising is a critically important process when mathematicians and others actually do mathematics. Unfortunately, the process of visualising does not appear in publications, which all tend to be displayed very formally and are mostly restricted to the final results.
As teachers we need to ensure that we are very aware of all the processes of mathematics and so we must always attempt to know what our students are visualising.
Activity 4: Further exploration
Click 'View document' below to read Mathematics books for teachers
The book list provides a selection of further reading if you're starting to think more seriously about visualisation and how to help it happen effectively in your classroom.