Of the great mathematician as an instructor several of his pupils who ventured on the higher planes of the science have written. These were youths who, though they could follow him but a few steps in that rarefied atmosphere, had the privilege of a glimpse now and then into shining infinities wherein this giant sped rejoicing on.
--
Edward Waldo Emerson, in The Early Years of the Saturday Club, 1855-1870 (1918)Benjamin Peirce
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It is necessary to be particularly on your guard with regard to the young ladies, into whose company you are introduced - it is perfectly well understood in society that ladies may shew to youths in the position of Private Pupils a sort of kindness and attention, which they would not think of shewing if these youths were a little older and more out of the world.
Charles (archdeacon) Dodgson
Benjamin Peirce's lectures dealt, to be sure, with the higher mathematics, but also with theories of the universe and the infinities of nature, and with man's power to deal with infinities and infinitesimals alike. His University Lectures were many a time way over the heads of his audience, but his aspect, his manner, and his whole personality held and delighted them.
Benjamin Peirce
Lightly I sped when hope was high
And youth beguiled the chase,—
I follow, follow still: But I
Shall never see her face.Frederick Locker-Lampson
There is a strong temptation to assume that presenting subject matter in its perfected form provides a royal road to learning. What more natural than to suppose that the immature can be saved time and energy, and be protected from needless error by commencing where competent inquirers have left off? The outcome is written large in the history of education. Pupils begin their study of science with texts in which the subject is organized into topics according to the order of the specialist. Technical concepts, with their definitions, are introduced at the outset. Laws are introduced at a very early stage, with at best a few indications of the way in which they were arrived at. The pupils learn a "science" instead of learning the scientific way of treating the familiar material of ordinary experience.
John Dewey
“Culture” means … the cultivation of the mind, the taking care and improving of the native faculties of the mind in accordance with the nature of the mind. Just as the soil needs cultivators of the soil, the mind needs teachers. But teachers are not as easy to come by as farmers. The teachers themselves are pupils and must be pupils. But there cannot be an infinite regress: ultimately there must be teachers who are not in turn pupils. Those teachers who are not in turn pupils are the great minds.
Leo Strauss
Peirce, Benjamin
Peirce, Charles Sanders
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