If you don't find the way he presents e.g. linear algebra intuitive I think our brains must work fundamentally differently.

Even if you find them intuitive, they produce no learning gains for anyone. Take a lin alg test, watch the 'Essence of lin alg' videos, take comparable test again. I guarantee you won't see any change even if you 'understood matrices better'. They are pure mathporn.

>Take a lin alg test, watch the 'Essence of lin alg' videos, take comparable test again

Uh huh, and what if the videos make me more generally interested in the topic? How would you measure that on a test?

Your view seems needlessly pessimistic and myopic. Just because something might not increase a number on a test that doesn't make it pointless.

I'm actually quite optimistic, was pointing out that, at least to to me, AI slop already produces better results than big educational content creators. For something concrete, even if not classic math, I credit direct LLM interaction highly for accelerating my understanding of CPU design and compiler tech.

Some people still intrinsically value listening to another human enthusiastically explain something they found interesting.

No learning gains? I teach linear algebra. I can assure you that students who watch and study the "Essence of linear algebra" videos (which I recommend on the syllabus) do better on my tests that those who don't, because they learn stuff from them.

It's much more likely that the students who take the time to watch supplementary materials are the ones who'd do better regardless of the quality of the given material. If you have access to fresh learners, I'd say it's a good opportunity to test how good those series are.

I'm not sure anything I say can convince you, as your mind seems to be made up already, but my experience has been that those videos help my students understand the concepts of linear algebra, comparing the mastery level now vs. before the series was published on YouTube. Especially when it comes to getting a feeling for what a linear transformation is, and how the properties of matrices echo the properties of the transformation they represent.

As for "fresh learners", I can provide my own son, who watched the series before taking his first linear algebra class, and says that it helped him a lot.

Better fundamental understanding makes every future studying much more efficient and gives deeper understanding of topics built on top.

With all due respect yours is a very short sighted take that only thinks in passing tests. That's not the purpose of education.

I'm not defining education as passing tests. A test is just a measuring instrument.

In fact, your claim is strong and quite easy to test. If watching the series gives people a better fundamental understanding which makes subsequent learning more efficient, take matched novices, randomise them to watch the series or not, then teach both groups some later lin alg materials and measure learning gains on novel problems.

That's the kind of test I mean, not 'can you grind through the course exam'.

If your claimed deeper understanding neither improves what someone can do afterwards nor how efficiently they learn related material, I'm not sure what observable content the claim has.

This is not my experience. Having an intuitive grasp of e.g. the graphical interpretation of the determinant instantly lets you figure out most of the key determinant properties without having to memorize them. That's the primary thing you get from intuition imo, having a sense of what must be true without having to memorize or prove it.

fwiw the fact that brains work fundamentally differently was my big penny dropping realization after digging into what LLMs are doing. Everything (I assert) a brain does (the function between inputs and outputs) is due to training data. There is no "instinct" and there is no "ROM-driven way to think" in any brain. It's training data all the way down. As a consequence different brains do indeed think in fundamentally different ways.

This is so fundamentally divorced from what we know about cognition in humans or in animals. The idea that we are a pure tabula rasa and only shaped by our "training data" is absurd and false. Just look at the amount of data we need to be able to do things relative to ML models. Look at animals which can do complex tasks moments after birth. We're deeply, deeply shaped by instinct.

Well, everyone being tabula rasa has a point tho. Technically there's no unique physical cause that make development unfold the same for all organisms, or even all humans (see Waddington's epigenetic landscape). It just happens that we develop along very similar trajectories and can draw equivalences between how I think vs how you think. So, from an ontological perspective, if you squint a bit, we all are tabula rasa. But from a phenotypic perspective, of course it's bonkers, you can't teach a frog linear algebra.