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I do the exact opposite - I don't write anything down and try to visualize what I'm reading entirely. I don't start writing anything down when doing exercises u
by aisofteng 9y ago
I do the exact opposite - I don't write anything down and try to visualize what I'm reading entirely. I don't start writing anything down when doing exercises until I have the entire solution in mind (unless it's something computational). It's hard to get used to doing at first, but, after a couple years, my abstract reasoning skills developed significantly past most or all of my peers.
- logicchains 9y agoI've noticed something similar; it's harder at first, but once I learn to think about something visually/intuitively, I can understand/use/reason with it much better than if I'd started with pen and paper. It makes sense that this approach is more effective because if the brain has internalized a concept than it can reason with it subconsciously, but if external paper is required for reasoning about it then such subconscious reasoning is not possible.
- compactness 9y agoAt some point math becomes more about ideas and less about lower level details. Like you I don't write down my reasoning either and try to do exercises in my head or verbally. So long as I get the idea behind the proof correctly, I am not worried about the lower level implementations.