Advanced Arithmetic

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Ginn, 1899 - Arithmetic - 261 pages
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Page i - Whether it be in the development of the Earth, in the development of Life upon its surface, in the development of Society, of Government, of Manufactures, of Commerce, of Language, Literature, Science, Art, this same evolution of the simple into the complex, through successive differentiations, holds throughout.
Page 69 - Specific Gravity. — The specific gravity of any substance is the ratio of the weight of the substance to the weight of an equal volume of water.
Page 259 - At what time between 5 and 6 o'clock are the hour and minute hands of a watch together ? At what time between 3 and 4 o'clock ? 175.
Page 265 - ... interesting and the teacher's work lighter. The success of Frye's Geographies, which is literally unparalleled in the history of text-book publishing, shows that there is a deep and widespread demand for the best ideas, methods, and books. It goes without saying, that, at the beginning, it requires a little more skill and pains to teach the pupils to get ideas instead of words from their text-books, but that is of course the only right way, and in a little time it becomes the easier and more...
Page 245 - If 2 men start from the same place, and travel in opposite directions ; one at the rate of 3| miles in an hour, and the other 4...
Page 174 - The kingdom of science, then, cometh not by observation and experiment alone, but is completed by fixing the roots of observation and experiment in a region inaccessible to both, and in dealing with which we are forced to fall back upon the picturing power of the mind.
Page 265 - Frye's Geographies are universally recognized as representing an advance movement in education, but their crowning merit lies in the fact that they not only can secure better results than other books, but can make the pupils' work more interesting and the teacher's work lighter. The success of Frye's Geographies, which is literally unparalleled in the history of text-book publishing, shows that there is a deep and widespread demand for the best ideas, methods, and books. It goes without saying, that,...
Page xv - The doctrine that we can discover facts, detect the hidden processes of nature, by an artful manipulation of language, is so contrary to common sense, that a person must have made some advances in philosophy to believe it; men fly to so paradoxical a belief to avoid, as they think, some even greater difficulty, which the vulgar do not see. What has led many to believe that reasoning is a mere verbal process is, that no other theory seemed reconcilable with the nature of the Science of Numbers.
Page 161 - What would the width be if the area were 1G| sq. rd. ? 19. The perimeter of a square field equals 160 rd. What is the perimeter of another square field having four times the area of the first ? 20. How many steps of 2 ft. 6 in. each will a man take in walking around a field 45 rd. square ? 21. How much will it cost to lay a pavement 36 ft. long and 9 ft. 6 in. wide at 40/ a sq. yd. ? 22. How many sq. ft. in a city lot 62 ^ ft. front and 208 ft. deep ? 23. How many tiles 8 in. square will lay a floor...
Page 29 - ... organs, but also as an organ in a Collective Organism. From the former he derives his sensations, judgments, primary impulses ; from the latter his conceptions, theories, and virtues. This is very clear when we learn how the Intellect draws both its inspiration and its instrument from the social needs. All the materials of intellect are images and symbols, all its processes are operations on images and symbols.

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