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oh, and the "guessing" the answer thing.... i think i know what you mean. ive been given fairly complex brain teasers involving math, and just sort of had the answer pop into my head, but have no idea how i got there.... it was almost a subconscious/instinctual sort of thing. i mean, i do have to sit there and try to visualize the problem, but then the answer just appears without any sort of regular calculations on a conscious level... is that the sort of thing you're talking about?

(i should point out though, that when i actually TRY to do the calculations, i almost always get it wrong)