School Science and Mathematics, Volume 12Smith & Turton, 1912 - Education |
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Popular passages
Page 713 - The lateral areas, or the total areas, of two similar cones of revolution are to each other as the squares of their altitudes...
Page 718 - The area of a zone is equal to the product of its altitude by the circumference of a great circle.
Page 285 - Current educational topics, No. I. *No. 13. Influences tending to improve the work of the teacher of mathematics. 5 cts. *No. 14. Report of the American commissioners of the international commission on the teaching of mathematics.
Page 23 - The value of mathematical instruction as a preparation for those more difficult investigations, consists in the applicability not of its doctrines, but of its method. Mathematics will ever remain the most perfect type of the Deductive Method in general...
Page 426 - They have forgotten that a generalization is simple only in comparison with the whole mass of particular truths it comprehends — that it is more complex than any one of these truths taken singly — that only after many of these single truths have been acquired, does the generalization ease the memory and help the reason — and that to a mind not possessing these single truths it is necessarily a mystery.
Page 574 - Both members of an equation may be multiplied, or divided, by the same number, without destroying the equality.
Page 383 - ... that the area of a rectangle is the product of the length by the altitude in terms of a unit square.
Page 810 - MANUSCRIPTS. Contributions on Science and Mathematics Teaching are invited. Articles must be written on one side of the sheet ONLY. All illustrations must be drawn or written in jet black ink on a separate sheet of manuscript.
Page 714 - The lateral area of a frustum of a cone of revolution is equal to one-half the sum of the circumferences of its bases multiplied by its slant height. Hyp. S is the lateral area, C and C...
Page 444 - One of the only two articles that remain in my creed of life is that the future of our civilization depends upon the widening spread and deepening hold of the scientific habit of mind...