Don't memorize equations, understand concepts, internalize them and then apply them. But to answer the question you posted in the comments, it depends on what I'm doing but yes I often visualize what happening when solving math problems.
In grad school I used to derive equations at night just in my mind and write the conclusions down in the morning out of bed. Put the pieces together. It has nothing to do with a good memory, although I have an above average memory.
Upbringing from Childhood, daily practice, no one becomes genius in math in one day
I am quick in math but most of the time it is not accurate
If you’re curious look up this article: Poincaré against the logicians. It somewhat hits on the theme you’re interested in.
Thanks I’ll take a look!
Once you become really good at a specific math topic, it’s kind of like chess: you see 3-5 steps at a time to go from what’s given to what you want to derive. Or at least you have a very good intuition about the first few steps - that may not work and then you try something else maybe. Becoming good in any topic is actually about practicing “right” so that we internalise it. Once internalised, our brain develops the right kind navigation strategy that significantly reduces the search space of solution approaches. That’s true for math or chess or CS algos.
Patterns, repetition not memory.
Learning to pick up patterns early on and being flexible to new patterns
Brain is wired to easily understand patterns which is better than memory. Numbers are a natural way of thinking about the world around you, such as I like steak about 10% more than chicken. Get joy at solving number based problems and/or frustration at not solving them. Caring about numbers.
Stupid way I put that together LOL. Im curious if some people like visually see equations.
It just happens. Idk somehow my brain starts piecing up things. Maybe indirectly, my brain id applying inversion model.