The way of getting those facts and ideas into your head can be very different, though.

You can either mechanically memorize them, which is a boring and mindless activity, or you can be challenged, participate in discussions, projects, and activities that engage the parts of your brain involved with critical thinking.

Both will technically get you to pass a test, but the latter will be better for retaining information, while developing skills and neural pathways that make future learning easier.

The problem is that most academia is based on the memorization approach. Here are a bunch of ideas and facts we think are important; get them into your head, and regurgitate them back at us later. This is not a system that creates knowledgeable people. It doesn't inspire or reward curiosity, creativity, or critical thinking. It's an on-rails pipeline that can get you a piece of paper that says you've been through it, which is enough to make you a tax-paying citizen employed by companies who expect the bare minimum as well.

I get that the alternative approach is more difficult to scale, and requires a more nuanced, qualitative, and personal process. But that's how learning works. It's unique for everyone, and can't be specified as a fixed set of steps.

After all, what is the point of teaching people to be idea and fact storing machines, if machines can do a far better job at that than us? Everyone today can tell you a random fact about the world in an instant by looking it up in a computer. That's great, but we should be training and rewarding people for things computers can't do.

Exactly. I'm not able to memorize multiplication tables or even listen to math lectures - I can't hold more than one or two numbers in my head before they start disappearing. However, I am capable of learning and using math to an advanced level, at least temporarily.

How? The way I think of numbers is actually quite similar to what is currently known as "new math". It's not taught well because almost no teacher was raised with it (and thus lack the ability to think in new math "natively"), but it is based on something real.