Common Schools; A Discourse on the Modifications Demanded by the Roman Catholics

Common Schools; A Discourse on the Modifications Demanded by the Roman Catholics

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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1853 edition. Excerpt: ...and the native powers and peculiar circumstances of the individual whose tuition is under consideration. Then, in what form shall geometry be introduced?--as abstract science or as practical rule?--in theorems or in problems? and if in problems, shall they be solved by construction, or by calculation and analysis? I answer, that the method of nature is to rise from examples to principles, and that geometry should be presented first in concrete form to the eye and to the imagination, and made a matter of construction; afterward the pupil should be lifted up to a scientific and even to a metaphysical view of the abstract relations of space. The proportions in which these modes of presenting geometry should be em ployed, will vary with the length of the curriculum, or course of studies, and be adapted somewhat to individual circumstances, but the ruling principle will always be the same, namely, to give so much and such geometrical training as will prepare the pupil, as well as his powers and his circumstances will admit, for an understanding of the full circle of sciences, and thus for the fulfilment of all the duties of his station in life. The answers which I have thus given concerning the science of geometry will be acknowledged, I think, by all educators to be, in the main, sound; and the practice of all schools and colleges in the world is in essential conformity thereto. In some institutions geometry may be neglected, in others overcultivated; in some treated too abstractly, in others made too much a mere matter of drawing with compass and ruler; but all this arises from errors of judgment in applying the fundamental principles of education to the question, and not from any doubt concerning the principles themselves. Turning now to the main...
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Product details

  • Paperback | 52 pages
  • 189 x 246 x 3mm | 109g
  • Miami Fl, United States
  • English
  • black & white illustrations
  • 1236599136
  • 9781236599131