Please, no. Schools have already ruined mathematics for the majority of several generations, the last thing we need is to Taylorize meta-cognition as well.

Apparently Taylorism here means http://www.businessdictionary.com/definition/Taylorism.html and not - humorously, where my brain went first - https://en.m.wikipedia.org/wiki/Taylor_series

Could someone define it for a non-mathematician? Or would that be Taylorism?

EDIT:

The businessdictionry.com links explained it well enough. I think this has already been done with creativity, many times over. I imagine it is more harmful to a field like mathematics, though. This is not to say it isn’t a problem. The current state of art school is an atrocity. But, if I’m not mistaken, art has tendency to not only get distracted by the novelty of imitation but to get entirely lost in it, whereas the field of mathematics would have just enough concern for such uninterested forms of curiosity to account for them. This is a lazy account of what maybe Plato would say. Basically, art was screwed in this way from the onset and mathematics has a lot more at stake.

I'm unaware of schools ruining mathematics - in what sense has this happened? Has this happened in most countries?

Most people hate mathematics. How school teaches it is why.

There can be different kinds of meta. Learning how to learn more efficiently and less painfully would be great for schoolchildren. Learning how thinking may go wrong (basic cognitive biases and faults) is also important to learn in e.g. high school.

Going into hardcore epistemology is probably not the right thing for a school.