Education
Education is the process of facilitating learning, or the acquisition of knowledge, skills, values, beliefs, and habits. Educational methods include storytelling, discussion, teaching, training, and directed research. Education frequently takes place under the guidance of educators, but learners may also educate themselves. Education can take place in formal or informal settings and any experience that has a formative effect on the way one thinks, feels, or acts may be considered educational. The methodology of teaching is called pedagogy.
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change. It has no generally accepted definition.
Education
What spectacle can be more edifying or more seasonable, than that of Liberty & Learning, each leaning on the other for their mutual & surest support?
James Madison, letter to W. T. Barry, August 4, 1822. The Writings of James Madison, ed. Gaillard Hunt, vol. 9, p. 108 (1910). These words are inscribed to the right of the main entrance of the Library of Congress James Madison Memorial Building.
Education
Impartially their talents scan,
Just education forms the man.
John Gay, The Owl, Swan, Cock, Spider, Ass, and the Farmer. To a Mother, line 9.
Mathematics
By relieving the brain of all unnecessary work, a good notation sets it free to concentrate on more advanced problems, and in effect increases... mental power... Probably nothing in the modern world would have more astonished a Greek mathematician than to learn that, under the influence of compulsory education, the whole population of Western Europe, from the highest to the lowest, could perform the operation of division for the largest numbers. This fact would have seemed to him a sheer impossibility.
Alfred North Whitehead, An Introduction to Mathematics (1911) Ch. 5, p. 59.
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