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Extreme Teaching

description

Thoughts while learning.

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Extreme Teaching

author

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2026-03-02 12:42:37

raw text

Extreme Teaching | Thoughts while learning. Extreme Teaching Thoughts while learning. Calculus Crank August 17, 2006 Thanks Chris for your comment on my last post. There was a lot there and it stirred up memory of one of the biggest sources of advice for this project: a book review by Underwood Dudley from nearly twenty years ago that is repringed on talldarkandmysterious’ s site. Before starting to write last summer I sent Dudley an email asking if his views have changed since 1988 and he said no that his objections are pretty much the same. So what triggered this memory was Chris’ note about geometry. Dudley’s second conclusion is that Calculus books need more geometry. I think that Calculus can be taught as a nice combination of calculation and intuition and that driving the geometry out of it makes the intuition less – umm – intuitive. It is Dudley’s first conclusion that is the biggest risk in Calculus books. It is easy for Math practitioners to be dismissive of a ...

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