An Arithmetic for Colleges and Schools (Classic Reprint) - Couverture souple

Crozet, Claudius

 
9781333463281: An Arithmetic for Colleges and Schools (Classic Reprint)

Présentation de l'éditeur

There may be some presumption in publishing, with the pretension of having added some improvement, a work on a subject which has already been treated by so many authors. But the late advances in the mathematics would seem to call for some modifications in the manner of teaching their first branch, so as to make it a more direct introduction to higher subjects, than the Arithmetics which are usually put in the hands of students. I have, indeed, frequently wondered that a science depending altogether upon reasoning .should so generally be attempted tn he. tanp;ht by practical, 1rules, learned by rote, commonly fQ rgotter].by the pupil in a few days, and which, thus taught, can be correctly and Jreadily applied only when, by long usage and maturity off mind. the arithmetician has acquired a kind of intuitive perception of the fundamental principles on which these rules depend, and of the train of reasoning by which they are obtained. I have no hesitation in saying that if all the time and labor expended in learning these practical rules and acquiring readiness and skill in their application, were bestowed upon the study of the reasoned principles of the science, the same time and labor would suffice to obtain a competent knowledge not only of arithmetic itself, but Hkewise of the two other elementary branches of mathematics; Algebra and Geometry. Let a young man begin arithmetic at the age when his reasoning powers are sufficiently matured; let him then be made to investigate and comprehend thoroughly the mathematical principles jdi each operation as he proceeds, and I venture to assert that a few months will suffice him to become skilled in every operation that can be performed by arithmetic jguided by the unbroken thread of reasoning he never will torget I heT uI esT nd will perform his calculations with neatness and always by the simplest methods.
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