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Producing data for something like that sounds like an incredible ask and I'd be super interested to see how other people have tried to tackle that problem.

My anecdotal experience is that they teach something close to that in philosophy departments, at least insofar as you need to be able to present the logical steps and connections you're making in a plain way so your paper is easier to engage with regardless of how abstract the topic is.

I think the actual critical thinking is something that happens internally and you can't really correct or improve that as a teacher if the student isn't capable of explaining what they're thinking - and if you can teach the student to explain what's going on inside their head, they can learn more effectively from people more intelligent than them later on because then it's public knowledge what they're screwing up instead of private. So to that end good writing might be even more fundamental than critical thinking skills.




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