“That student is taught the best who is told the least.”
– R. L. Moore
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You’ve stumbled on my hidden quotes page. The only way to get here is through one of my quote tweets. It’s a like a little Pandora’s Box! It might be awesome, might have some weird stuff. But it’s all cool!
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When you are teaching, your own children or other people’s, you will hit stumbling blocks. This collection is the bits that I use to keep me going – and I hope it will be for you as well!
“‘Every minute dies a man, Every minute one is born;’ I need hardly point out to you that this calculation would tend to keep the sum total of the world’s population in a state of perpetual equipoise, whereas it is a well-known fact that the said sum total is constantly on the increase. I would therefore take the liberty of suggesting that in the next edition of your excellent poem the erroneous calculation to which I refer should be corrected as follows: ‘Every moment dies a man, And one and a sixteenth is born.’ I may add that the exact figures are 1.067, but something must, of course, be conceded to the laws of metre.”
– Charles Babbage, letter to Alfred, Lord Tennyson, about a couplet in his “The Vision of Sin”
“It is the mark of an educated mind to be able to entertain a thought without accepting it.”
– Aristotle
“Over the long run, the non-instructional character of math texts, the lack of concrete and manipulative experiences, the lack of social support such as peer tutoring or cooperative problem solving, and the exclusive reliance on teacher presentations, conspire to divide math learners. Some people get it and are good at it, others don’t, and believe they have no recourse. If faced with math later, as in a statistics course or application, the person assumes he or she should be told what to do. It seems a perfectly natural extension of years of having the teacher ‘tell’ math.”
– Stodolsky, S. S.
From: Telling Math: Origins of Math Aversion and Anxiety
– Stanislas Dehaene
From: The Number Sense: How the Mind Creates Mathematics