Their own kids are victims, and frequently they protest vocally. Their mathematician parents know what's going on. They just don't bother.
I have yet to hear of a violin teacher who cannot play the violin. Moreover, all good violin teachers are (very) good violinists.
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And this is no accident: the practice of an art must be learned by imitating its practitioners, because no one can explain how it's done.
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If you and your students aren't grappling with these issues, then you're not engaged in teaching and learning an art.
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