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Page 271 - You can fool all the people part of the time and part of the people all the time but you can't fool all of the people all of the time.
Page 230 - The most obvious and easy things in mathematics are not those that come logically at the beginning; they are things that, from the point of view of logical deduction, come somewhere in the middle. Just as the easiest bodies to see are those that are neither very near nor very far, neither very small nor very great, so the easiest conceptions to grasp are those that are neither very complex nor very simple (using "simple
Page 782 - ... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional.
Page 516 - The mere knowledge of the language of algebra has more utility than educators have thought, while skill in computing has less.
Page 341 - PROFESSOR JOHN MERLE COULTER, head of the department of botany at the University of Chicago and editor of the Botanical Gazette, has been elected a corresponding member of the Czecho-Slovakian Botanical Society.
Page 399 - Most of its mathematical contributions can be read and understood by those who have not specialized in mathematics beyond the Calculus. The Book Review department, appearing each month, is a valuable guide to current mathematical literature. The Problems and Solutions hold the attention and activity of a large number of persons who are lovers of mathematics for its own sake. There are two divisions of this department, one for elementary and one for advanced problems. Association members not only...
Page 384 - Water Power of the World. Since that time the estimates have been prepared and released at irregular intervals.
Page 230 - Mathematics is a study which, when we start from its most familiar portions, may be pursued in either of two opposite directions. The more familiar direction is constructive, towards gradually increasing complexity: from integers to fractions, real numbers, complex numbers; from addition and multiplication to differentiation and integration, and on to higher mathematics. The other direction, which is less familiar, proceeds, by analysing, to greater and greater abstractness and logical simplicity...
Page 382 - ... Requirements is in the press and will, it is hoped, be ready for distribution in April. It is published under the title ''The Reorganization of Mathematics in Secondary Education," and will constitute a volume of about. 500 pages. The table of contents given below indicates its general character. Through the generosity of the General Education Board the National Committee is in a position to distribute large numbers of this report free of charge. It is hoped that the funds available will be sufficient...
Page 257 - ... earth's surface, and therefore is more or less molded by its geographic setting. Geography, to reach accurate conclusions, must compare the operation of its factors in different historical periods and at different stages of cultural development. It therefore regards history in no small part as a succession of geographical factors embodied in events. Back of Massachusetts' passionate abolition movement, it sees the granite soil and boulder-strewn fields of New England; back of the South's long...