I did want to add that critical thinking clashes with many of the other politically correct agendas they are pushing in schools and universities.
Pushing for example gender fluidity based upon an appeal to authority from some psychologists beginning in 1948. Prior to that Gender and Sex were the same thing for thousands of years. They don't have to remain that way or I'd be giving you an Appeal to Tradition. Yet, it is also rather less than honest to hijack that word and redefine it so its context for thousands of years of documentation was no longer valid. The correct thing would to have created a NEW label for their "ideas". I do not acknowledge their authority.
Also pushing of the ideas of "consensus" as though that matters is anathema to critical thinking. It is an Appeal to Popularity fallacy. Truth and facts are not dictated by a quantity of people.
So it'd be difficult to TEACH critical thinking in school these days when so many of the things seem aimed at destroying critical thinking.