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Looking back on my school years, one thing that strikes me is that they never taught us the meta. They gave us theorems & formulas, but they never talked about the general processes & techniques you can use to approach & solve problems. Or about how to get better at learning.
We were left to figure how that part ourselves, on our own. And we did, confusedly, awkwardly. From direct experience, through trial & error. It was horribly inefficient. Because, naturally, the meta is a science. It can, and should be taught.
Of course, it is learning "how to learn" and "how to solve problems" that really matters (or even the more specialized "how to prove theorems"). The content -- specific pieces of knowledge -- is unimportant. I've already forgotten all of the theorems. Only the meta remains.
Difficult to teach that. Lot depends on the instructor. If not handled well + combined with a poor grading system then hard to take seriously
if your teacher knew this, they wouldn't be a teacher
Feels like local optimization at the expense of global optimization. Individual teachers have to teach a class and they work on that, regardless of the overall pedagogy needs of the students.
I hate the word meta... Just say metaphorical.... everyone makes physics super complicated just to sound smart.
If you don't know what it means, you can look it up. I googled it for youhttps://blog.gamoloco.com/what-is-the-meta-4c79d47d6e98 …
You were lucky. School maths education in England was obsessively focussed on that at one time. Ie. we had a whole term on 'what is mathematical modelling' etc w/o any actual maths.
I personally feel that good teachers are still very scarce.
Up to the end of high school, the how and what of formal education in class are driven by the lowest common denominator. At the bottom, thinking about formulas already gives a huge headache to 75% of any class with randomly chosen students.
The school experience could be much better for many, e.g. the most academically gifted, but when I hear of deploying or teach "two-sigma", "mastery", or "how to learn" at the mandatory education level I wonder whether the proponents remember how their schools and classmates were
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