I know who you are; you posted, rather eloquently, on Venus' thread regarding a teacher making a mistake in mathematics.
My brain is not wired to explain concepts that come to you naturally. Certainly, it is a combination of both your innate ability as well as training in a field in which you excel. My question centers on those of us who did well in mathematics but cannot explain what we are doing. I used to teach algebra and I had one student, who, like me in my school years, always found the correct answer. Always. Even in those trying word problems.
I can explain matters relative to the arts, in which I am trained, but I cannot explain how I once arrived at correct answers in math. Why, I even showed my work!
Any thoughts you offer will be appreciated. Why my walk in the rain, meant to clear my head, came up with this, I dunno. Your collective reasoning on mathematics in the above-mentioned thread did make an impression . . .