When I want to figure something out, I find it helps to express it in words, written or spoken. So I could say my way of thinking is verbal more than visual or anything else. But I have the sense that I have a "background task" running that finds the answer to a problem while my conscious mind is forming the verbal expression. I am not sure I do analysis with the aware part of my mind. I also have the odd sense that I cannot think clearly about a problem while looking over someone's shoulder, but when I sit down at my own computer, putting my hands on my own keyboard allows me to concentrate.