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I think the 10 minute lectures are a big improvement already. You can skip things you already know and even if you watch them all the pace is quite a bit higher than university lectures.

One thing that would be absolutely fantastic is if there were physics lectures that don't only list the facts but explain how the famous physicist got there. For example in my quantum mechanics course they just put the Schrodinger equation on page 1 and then derive things from that, never even mentioning experiments. Surely that is not how Schrodinger did it. And frankly this way of teaching is not very convincing. You get the feeling you're just learning a bunch of stupid mathematical tricks.

This also applies to mathematical lectures. I'd love to see theorems demonstrated experimentally and explain how the mathematician that got the theorem invented it. For example if we prove that the number of primes less than n is roughly n/ln(n) it would be lovely to have that demonstrated by writing a computer program that counts the primes less than n (or do this as an exercise), or to have some heuristic reasoning as to why it's true. This shows that the theorem is really saying something about our universe, instead of having just a bunch of steps in a proof.



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