Elementary arithmetic (Google eBook)

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Ginn & company, 1897 - Arithmetic - 314 pages
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Page 233 - When the understanding is once stored with these simple ideas, it has the power to repeat, compare, and unite them, even to an almost infinite variety, and so can make at pleasure new complex ideas. But it is not in the power of the most exalted wit or enlarged understanding, by any quickness or variety of thought, to invent or frame one new simple idea in the mind, not taken in by the ways before mentioned ; nor can any force of the understanding destroy those that are there...
Page ix - ... doing for the pupil what he ought to be doing for himself. I have repeatedly gone into a school, and on examining it, say in arithmetic, have been told by the master, ' It is very strange that the boys do not know it; I thought they knew it thoroughly.
Page 303 - How many square yards of plastering in the walls and ceiling of a room 18 ft. long, 15 ft. wide, and 10 ft. high?
Page ix - I have always asked them this, ' When you have examined them, have you made them answer for themselves ?' And the reply has been,' Yes ; I have left them with themselves except just the very slightest possible help occasionally ; just enough to prevent them from wandering about." That is the whole thing. That very little help is the thing which vitiated the examination altogether ; and the test of real mastery is that the knowledge shall be produced [and therefore obtained] without any help at all.
Page 162 - If two men start from the same place, and travel in opposite directions, the one traveling at the rate of 3 miles an hour, and the other at the rate of 4 miles an hour, how far apart will they be at the end of 5 hours ? 11.
Page 226 - Two men start from the same place and travel in the same direction ; one, 5 miles an hour ; the other, 7 miles an hour.
Page 176 - ... joker, who, seeing a discharged veteran carrying home his dinner, suddenly called out ' Attention ! ' whereupon the man instantly brought his hands down, and lost his mutton and potatoes in the gutter. The drill had been thorough, and its effects had become embodied in the man's nervous structure. The possibility of all education is based upon the existence of this power, which the nervous system possesses...
Page 214 - There are 24 sheets of paper in a quire and 20 quires in a ream. How many sheets are there in a ream of paper ? 6.
Page 2 - Draw a line 6 in. long on the blackboard and call it 1 ; draw 2. Draw the square of the 1 and of the 2. Compare the squares. 11. Cut a square of 1 and a square of 2. Compare. 12. Draw the rectangles a, b, c on the blackboard, making a 6 in. long. Review. 13. Draw rectangles again, making a 1 ft.
Page iii - If the work of the first year has been rightly carried on there will be a tendency to look at things, to handle them, to compare them, and to express freely what is discovered. Continued growth requires continued fostering of this disposition. The mind that is not exercised in observing and comparing loses power to picture conditions, to see things as they are.

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