At a certain point I was working on an iOS app attempting to do some really advanced animations with Core Animation/Core Graphics and my total lack of geometry and basic algebra knowledge started to show. One of my colleagues started talking about the movement of an animation in terms of radians and pi and I felt completely lost. He was speaking a totally different language to me. Up to that point I had felt somehow "proud" of being a self taught developer with no formal schooling. But when that happened I just felt completely embarrassed at my lack of fundamental knowledge and context. Now I'm struggling through undergrad mathematics classes and hoping to get to that point some day. The greatest overall takeaway I had from that experience is that math and science open a completely different world to you that most people don't even know exists. It changed my life.