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Understanding leads to memorization, not the other way around. Chess masters can easily remember chess positions, but they didn't practice that it comes from fl
by Jensson 2y ago
Understanding leads to memorization, not the other way around. Chess masters can easily remember chess positions, but they didn't practice that it comes from fluency. Same with math, memorization comes by itself when you have grokked the subject well enough to make memorization trivial.
- ggm 2y agoI'm not a mathematician so if this is an axiom of the ontology of meaning in maths, I have to accept it but if we are using the words in their commonly understood meaning you're completely wrong. I have memorised the first line of "I've got a lovely bunch of coconuts" in swedish and i assure you I have no underlying understanding of Swedish. (For jor can inte far opp min kokosnutt btw)
- eszed 2y agoYeah, I doubt the "common meaning" really covers it. To extend your example: I would bet (although I know no Swedish beyond "skål!"), that the manner in which you say those words would instantly make apparent (to a Swedish speaker) that you do not speak Swedish. I think the commenters need to agree on a more-nuanced set of terms to reach agreement on this.
- kaashif 2y agoThe arrow doesn't go one way. Understanding and fluency go hand in hand. When you have all of the theorems and techniques at your fingertips, understanding actually is easier. And vice versa. But "understanding" on its own doesn't allow you to reproduce a textbook full of theorems, you have to actually study and memorize at least a bit.