A better user interface than what, you might ask…
The answer: Better than numbers and symbols and equations.It’s quite an insight really — symbolic systems as a “user interface” — and it’s absolutely true.
I’ve been noodling on this one for quite some time now. I have always been “good at math” — good enough that I was always a step ahead of my teachers in high school when we were learning calculus or geometry, and I later majored in math in undergrad. However, I’ve always sucked at arithmetic. Give me a bill and it will take me several minutes and a pencil to calculate and add up the tip.
If you ask me why, I’ll tell you that my brain has a bad user interface when it comes to math.
I just don’t think about it the right way. I can add double digits intuitively, and then I have rely on a small set of memorized facts to get me the rest of the way… simple multiplication tables, adding zeros to multiply by ten… Armed with this limited tool box, I try to break down complicated problems into smaller ones and then recombine them. But the process is inefficient and requires a lot of working memory. I keep forgetting where I was and having to start over.