Ms Swicord, if you are as yet unacquainted with Paul Lockhart's MATHEMATICIAN'S LAMENT, I certainly recommend it: http://bit.ly/1iaLh2Q
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Replying to @MathPrinceps @WriterobinRS
Among the things we must do, it seems to me, is to make more of the elegant fascination of numbers and their language immediately visible.
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Replying to @MathPrinceps @WriterobinRS
And then expose our students to these striking, immediately perceptible mathematical stimuli. Once they're fascinated, then we teach them.
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Replying to @MathPrinceps @WriterobinRS
This is a profoundly important point: all successful pedagogy is seduction. Only a smitten student can give to the art all that it requires.
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Replying to @MathPrinceps @WriterobinRS
The crucial thing is to fascinate and tantalize. It is easy to teach a fascinated, tantalized student. It is futile to teach any other kind.
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Replying to @MathPrinceps @WriterobinRS
My pedagogical motto is Alphonse Karr's elegant remark: "Love is a sport in which the hunter must contrive to have the quarry in pursuit."
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Replying to @MathPrinceps @WriterobinRS
Just as the lover must contrive to have the object of her desire in pursuit, so must the mentor contrive to have her protege in pursuit.
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Replying to @MathPrinceps @WriterobinRS
Behold a master creator of just the sort of contrivance I mean: the great John Hunter, pedagogue extraordinare.http://bit.ly/1Pn1UEN
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Replying to @MathPrinceps @WriterobinRS
Contrivances like Hunter's are no easier to create than great works of imaginative literature. But this is the job, if you want results.
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Replying to @MathPrinceps @WriterobinRS
The world's most successful pedagogues are video game designers. They teach very complex skills, without appearing to teach at all.
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Their obsessed students spend countless hours acquiring and honing these skills through repetitive practice -- without a murmur of complaint
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Replying to @MathPrinceps @WriterobinRS
It's crucial that no one imposes this tedious drudgery on them, and nor tells them how to do it. They have agency and yearn for mastery.
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Replying to @MathPrinceps @WriterobinRS
Their enthusiasm in pursuit of this mastery is the envy of every teacher. No lecturer ever sees anything like it. http://bit.ly/1ktgMWt
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End of conversation
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