I know that I can solve some simple systems of linear equations in my head by visualizing the terms and moving them. But if I don't concentrate enough, it gets blurry quite fast. In the same way, I can remember some structure of an algorithm, a mathematical proof or a speech, but not with details. In the same way, I tend to forget the first elements if I add new ones.
I feel that, by saying that, I mix at least two things:
- what I have heard as a "mind limit", around 3 or 4 elements anyone can process at the sale time, or recognize visually without counting them
- memory, which you can theoretically train to store large amounts of elements
What can be trained, and how, to be able to process more elements at the same time? Even if there's a hard mind limit, is it possible to make playing mentally with N elements much clearer, and how?