Colleges do. At least, liberal arts colleges do.
There is definitely a financial problem with the cost of college, I don't want to diminish that fact. Our higher educational system needs a refactor for a plethora of valid reasons...
But how to think - how to deconstruct, compare, contrast, and reconstruct into something new - this is exactly the basis for traditional liberal arts education. It is why they have you study a broad set of topics -- to apply that thinking both into your own areas of expertise, and across broad subject matters. To build you up with T-shaped knowledge and the ability to expand it further.
I feel the understated problem in our educational system is that people are being encouraged to think of it as a place to get job skills to get your first job, and thereby people don't even realize the underlying lessons that it really teaches.
Maybe the ideal answer would be to get some of that pushed down to earlier levels of school.