"[...] think of math as a way of getting results." Yeah, that's me.
Me, too, most definitely. I mean, I can read (and understand) pretty complex stuff, and I can write down the things that show something is true, but being someone who only
applies math, I have big difficulties in "thinking in math", the way mathematicians do. But that's okay, too, because I know just enough to be able to describe the things in sufficient form to a friendly mathematician, so they can help.
And knowing how to efficiently ask for help is an important, useful skill, in all areas of life, I've found.
You don't have to get into scary mathematical notation (and it *is* scary if you try to read it too fast) to reason about your loops.
Well put. The notation is just a formal language to describe things efficiently and precisely. It is an effective, powerful tool, but it is not
required to reason about things using the same approach. If you do take the time to learn the notation, it makes it easier to follow interesting notes and lectures online, though.