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Primary Arithmetic

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Excerpt from Primary Arithmetic: First Year, for the Use of Teachers This book is one of a series soon to be issued. The point of view from which it is written is indicated in the introduction. The essence of the theory of teaching arithmetic can be expressed in a few sentences. The fundamental thing is to induce judgments of relative magnitude. The presentation regards the fact that it is the relation of things that makes them what they are. The one of mathematics is not an individual, separated from all else, but the union of two like impressions: the relation of two equal magnitudes. A child does not perceive this one until he sees the equality of two magnitudes. He will not become sensitive to relations of equality by handling equal units with the attention directed to something else, as the color, the texture, or the how many, nor by one or two experiences in comparing magnitudes. To aid the learner in seeing a 1 as the relation of two equal units, a 2 as the relation of a unit to another one half as large, a ¿ as the relation of a unit to another twice as large, we must induce the repeated acts of comparing which bring these relations vividly before the mind. With this purpose the child is not required to build out of parts a whole which he has never seen, nor expected to discover a relation in the absence of one of the related terms. He does not begin with elements. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully, any imperfections that remain are intentionally left to preserve the state of such historical works.
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17,90 CHF