W.W. Sawyer Famous Quotes
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You know what speed is. You would not believe a man who claimed to walk at 5 miles an hour, but took 3 hours to walk 6 miles. You have only to apply the same common sense to stones rolling down hillsides, and the calculus is at your command.
Most remarks made by children consist of correct ideas very badly expressed. A good teacher will be very wary of saying 'No, that's wrong.' Rather, he will try to discover the correct idea behind the inadequate expression. This is one of the most important principles in the whole of the art of teaching.
The desire to explore thus marks out the mathematician. This is one of the forces making for the growth of mathematics. The mathematician enjoys what he already knows; he is eager for more knowledge.
In mathematics, if a pattern occurs, we can go on to ask, Why does it occur? What does it signify? And we can find answers to these questions. In fact, for every pattern that appears, a mathematician feels he ought to know why it appears.
Bad teaching is teaching which presents an endless procession of meaningless signs, words and rules, and fails to arouse the imagination.
O Perfect One, why do you do this thing? For though we find joy in it, we know not the celestial reason nor the correspondency of it'. And Sabbah answered: 'I will tell you first what I do; I will tell you the reasons afterward.
