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I have just voted yes, but I have severe reservations about how it might be "taught", because a lot of teaching is counterproductive and puts people off things. Being "taught" English at school left me with an intense hatred of Shakespeare; being "taught" music at school destroyed my love of classical music; etc. Bad teaching is worse than no teaching.
If, however, a good way of delivering an education in critical thinking could be guaranteed, then it would be worth doing, and most people will probably agree with that, so the real issue is how and when to teach it. I would aim at the very early stages, because once people are set in their ways they're hard to shift, and the ideal age to start on that would be 3 years old.
the bulk of them will be discoveries that your mental model of reality is WRONG! Being wrong, or rather discovering that you're wrong, is not a bad thing - quite the opposite. It opens up opportunities to make an advance in the direction of greater understanding.
One portion of college mathematics is proofs which is part of the critical thinking.But, perhaps one must have 12 years of elementary mathematics before acquiring the skills necessary to do complex proofs.
I think it should be taught in schools, but I settle for it being enforced in politics and journalism.