Doodling is FAR more important than we let on....
We all do it.
It helps us stay alert and focused.
I encourage children to doodle in a "doodle pad" at various times (e.g. when listening to a story).
Soooooo many children just LOVE doing this, and it allows them a degree of self-expression rarely found in other subjects.
Give it a try - you'll be amazed!