Category Archives: Education

The Point of Teaching Mathematics

This essay was provoked in part by a New York Times opinion piece by Andew Hacker (July 28, 2012) called “Is Algebra Necessary?” (the suggested answer being No):

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On reading too much into words

First let it be noted that nothing I say here will have any effect on hostilities in the so-called Holy Land or anywhere else. I have no need here to take any particular line; no reader should assume that I do or do not elsewhere follow any particular line.

I do wish to promote clear thought. I should like to think that my friends and colleagues have a similar wish, especially when they are academics like me.  Of course, what counts as clear thought may vary. I am a mathematician, professionally; I work in the mathematics department of a university. Certain modes of thought are therefore habitual with me; they may not be habitual in other departments, not to mention other walks of life. I may adopt my modes of thought at the expense of others.

I feel compelled to say such things, having been shocked to find that what I say here may be at all controversial. Continue reading

Michael Psellus on learning

The value of learning was in question, a thousand years ago, during and after the reign of Emperor Basil II, in what was to become Istanbul. When learning has no purpose, it may flourish; when it has, it may be abandoned when the purpose is not achieved soon enough. Michael Psellus suggests this in Fourteen Byzantine Emperors (London: Penguin, 1966).

Two standing figures with robes and caps, dark on the left, only outlined on the right, on a gold ground
Michael Psellos (left) with his student, Byzantine Emperor Michael VII Doukas

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Strunk and White

The following is a lightly edited concatenation of some emails I wrote several years ago, in response to “50 Years of Stupid Grammar Advice,” Geoffrey K. Pullum’s article in The Chronicle of Higher Education (April 17, 2009). [I returned to Strunk and White in March 2018; I supplemented the present post in July 2018.] Continue reading