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How assigning impossible-to-solve problems can get mathematics students (or researchers) to take a step back and look at the bigger picture: Patrick Honner in Quanta, quantamagazine.org/some-math-p

I think it needs interactivity, though. It would be mean to do this on a problem set or exam.

www.quantamagazine.orgSome Math Problems Seem Impossible. That Can Be a Good Thing.Struggling with math problems that can’t be solved helps us better understand the ones we can.