The Progress of Arithmetic in the Last Quarter of a Century |
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accuracy acquiring addition advance algebra Ammianus Marcellinus art of teaching Art Progress attention better bushel carried cent century child common sense computation considerable number difficulty dry measure educational efforts example experiments failed failures fractions G. K. Chesterton give given grades greatest common divisor habit hence idea improvement inches interest Julian calendars kind last quarter lead least common multiple lems long division mathematics means measuring mechanical mechanical efficiency mental discipline method metic modern multiplication table natural number facts practical teachers present prob problems Progress in Purpose projects psychologists pupil random drill reason recent represents respect schools solving speed spirit subtraction successful suggested taught teaching arithmetic Teaching Art teaching of arithmetic tests things tion tivated topics Troy weight twenty-five usable valuable weighing of values
Popular passages
Page 84 - Dry Measure 2 pints (pt.) =1 quart (qt.) 8 quarts = 1 peck (pk.) 4 pecks = 1 bushel (bu.) 2150.42 cu.
Page 85 - LIQUID MEASURE 4 gills (gi.) = 1 pint (pt.) 2 pints = 1 quart (qt.) 4 quarts = 1 gallon (gal...
Page 58 - A poet, or creator, is therefore a person who puts things together, not as a watchmaker steel, or a shoemaker leather, but who puts life into them.
Page 32 - Agathe's simile, namely, that the greatness or smallness of a man is, in the most conclusive sense, determined for him at his birth, as strictly as it is determined for a fruit whether it is to be a currant or an apricot. Education, favorable circumstances, resolution, and industry can do much...
Page 15 - I can prove this if I can prove that; I can prove that if I can prove a third thing; but I can prove that third thing; hence I see my way to proving the first.
Page 58 - ... wholly in the nobleness of the end to which the effort of the painter is addressed. We cannot say that a painter is great because he paints boldly, or paints delicately ; because he generalixes or particularizes ; because he loves detail, or because he disdains it.
Page 54 - Method" that will lead to easy victory in the teaching of arithmetic. There are a few great principles that may well be taken to heart, but any single narrow plan and any single line of material must be looked upon with suspicion.
Page 6 - Three men bought a grindstone 20 inches in diameter. How much of the diameter must each grind off so as to share the stone equally, making no allowance for the eye?
Page 52 - It will be a narrow idea, we shall neglect much that is important, but if we put energy back of it we shall attract attention and will very likely turn out better computers than a poor teacher will who is wise enough to have no "Method," in this narrow sense of the term.
Page 58 - We cannot say that a painter is great because he paints boldly, or paints delicately; because he generalizes or particularizes; because he loves detail, or because he disdains it. He is great if, by any of these j means, he has laid open noble truths, or aroused noble i emotions. It does not matter whether he paitjt the petal...