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ChristianKl comments on Rethinking Education - Less Wrong
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I disagree.
Just getting a personal pet project is frequent advice for people who want to start to learn to program. Working on the project leads you to learn the things that are necessary to solve the problem.
You also should explain how this interacts with what you say about essay writing. To me it seems like you advocate two distinct ideas that sound reasonable on the surface without having thought deeply about how they interact with each other.
Mu: (I agree with both of you).
3 requires 1. 3 is not necessarily optimal, since it still implies a set curriculum. IOW, teachers teaching to students instead of students learning what they need. 2 is made more efficient by 1. If I'm trying to learn how to do a high-level thing like build a machine learning algorithm, normally, schools would require me to take calculus and statistics courses beforehand, however, I could just learn what a gradient is (and all the pre-reqs for that like partial derivatives).