Personally I just doodle with no objectives and no analysis of the outcome. Sometimes it's a pattern, sometimes it's a picture, sometimes it's a wonderful idea that properly kicks you in the face.
If you ask too many questions it formalises it too much and takes the joy away and possible shapes the outcome too much.
I will say that whilst doodling in presentations and meetings I tend to come up with some profound counterpoints while not even listening properly so perhaps it does work.