Indeed, one can already find quite high-quality educational videos from YouTube. 3Blue1Brown has received near-universal acclaim (at least in my circles), and sets a lower bound for how good videos one can make. (I also bet that, unlike for many Hollywood movies, the budget for 3Blue1Brown videos is less than $10 million per hour.)
I actually don’t think 3Blue1Brown is all that great an example here. How many people, after watching his essence of calculus videos, could find a derivative or an integral of a reasonably complicated function? How many, after watching his linear algebra series, could find the eigenvectors & values of a 3x3 matrix? 3Blue1Brown seems very much like good supplementary material to me, or good as a first high-level approach to a math area.
I’d say a better example for “pedagogy done extraordinarily well at the high-school math level” is Khan Academy. At least, it was 7-8 years ago, and I expect even if it has returned a bit to the mean, LLMs are vastly improving the experience, which I know they’ve been using, and is a big step up over the alternative. Someone whose gone through the Khan Academy lessons on calculus or linear algebra has a far higher chance of correctly performing a derivative or an integral, or finding the eigenvectors & values of a 3x3 matrix.
ETA in the undergraduate & beginning graduate math level, textbooks become the things which are professionalized (but not those recommending textbooks to you), and in the advanced graduate level of course there is no professionalization in pedagogy.
Sorry for the noncentral point...
I actually don’t think 3Blue1Brown is all that great an example here. How many people, after watching his essence of calculus videos, could find a derivative or an integral of a reasonably complicated function? How many, after watching his linear algebra series, could find the eigenvectors & values of a 3x3 matrix? 3Blue1Brown seems very much like good supplementary material to me, or good as a first high-level approach to a math area.
I’d say a better example for “pedagogy done extraordinarily well at the high-school math level” is Khan Academy. At least, it was 7-8 years ago, and I expect even if it has returned a bit to the mean, LLMs are vastly improving the experience, which I know they’ve been using, and is a big step up over the alternative. Someone whose gone through the Khan Academy lessons on calculus or linear algebra has a far higher chance of correctly performing a derivative or an integral, or finding the eigenvectors & values of a 3x3 matrix.
ETA in the undergraduate & beginning graduate math level, textbooks become the things which are professionalized (but not those recommending textbooks to you), and in the advanced graduate level of course there is no professionalization in pedagogy.