If you want to build muscles you don’t slowly increase the amount of weight and keep it at a level where it’s effortless.
You don’t put on so much weight than you couldn’t possibly lift it, either (nor so much weight that you could only lift it with atrocious form and risk of injury, the analogue of which would be memorising a proof as though it was a prayer in a dead language and only having a faulty understanding of what the words mean).
Yes, memorizing proof isn’t the point. You want to derive proofs. I think it’s perfectly fine to sit 1 hours in front of a complicated proof and not be able to solve the proof.
A ten year old might not have that mental stamia, but a good math education should teach it, so it’s there by the end of school.
You don’t put on so much weight than you couldn’t possibly lift it, either (nor so much weight that you could only lift it with atrocious form and risk of injury, the analogue of which would be memorising a proof as though it was a prayer in a dead language and only having a faulty understanding of what the words mean).
Yes, memorizing proof isn’t the point. You want to derive proofs. I think it’s perfectly fine to sit 1 hours in front of a complicated proof and not be able to solve the proof.
A ten year old might not have that mental stamia, but a good math education should teach it, so it’s there by the end of school.