I remember working with a friend and his dad to build a large shed. Because my geometry, trig, and calculus teachers were always drilling into me how eminently PRACTICAL these maths were, I thought all my training would come in handy, but every time I sat down to do a calculation, my friend and his dad would just arrange a few boards a certain way, mark one of them, and be on their way, their problem solved perfectly within their required tolerance.
Abstract thinking is often more trouble than its worth.