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Teaching yourself math by producing answers and then validating them seems like a great way to possibly completely fail at learning math. What if you are making
by notreallyserio 5y ago
Teaching yourself math by producing answers and then validating them seems like a great way to possibly completely fail at learning math. What if you are making some fundamental mistake, and now all that time you've spent studying reinforces that mistake? We see this in software all the time; people will latch on to bad patterns and stick with them for years.
- ozim 5y agoI think that is the whole point of not giving answers. You should be able to solve a problem in multiple ways and prove correctness. It takes loads of time, but that is the only way to truly learn. Most of students given answers will solve a problem in one way see that answer matches the correct solution and stop there. That is not the way to learn anything. It is the same with software, it takes a lot of time to get good at. In software it is easy to get correct solution with wrong approach, but often people just stop at "make it work" where they should step back and "make it work, make it right, make it fast".