[robomartin]

I always thought some aspects of how mathematics is taught has been wrong for a very long time. Part of it, I think, are people working as teachers/professors who are really bad teachers.

As an example: One that stuck in my head from decades ago was solving the Fibonacci recurrent relation. At some point the professor wrote down “r^n” and somehow “r^2 + r + 1 = 0” shows up.

When asked where r^n came from he said it was just a guess. When asked how or why not guess something completely different, he said “that’s how we solve these problems”.

And that was that. Nobody in his class understood this and myriad other areas in math where the answer seems to be “and then a miracle occurs”.

There are many YouTube math teacher who are massively better than most university (and below) instructors. My guess is this is because they actually love what they do.