Excerpt from Myers Arithmetic: For Grammar Schools This book continues the work of the Myers Elementary Arithmetic and covers comprehensively the work of the last four years 'of the elementary school. It is a topical treatment of the subject and is thus in itself a complete arithmetic. The educational reason for arithmetic as a school subject is that it is a type of the organization of experience that the world deems useful in daily life. The experiences which arithmetic should organize are sensations of measur ing and numbering. In order that this measuring and numbering experience may be organized into the most efficient practical knowledge, the work must be done in harmony with the mind's way of construing these sensa tions into relationships. Nothing is more fundamentally important than that the pupil actually have the experiences that are to be organized. The ready-made experiences of others cannot be substituted for those of the learner himself. Furthermore, the pupil should organize as well as experience these sensations. The requirement that the sensations to be organized shall be the pupil's own can be met only by the plentiful use of concrete material. The objects, pictures, real prob lems, and other concrete materials must be not merely talked about by the teacher, the pupil passively listening and looking on. The pupil must handle the objects, draw the sketches, examine them and even make verbal problems. He must be allowed to make discoveries for himself. The concrete material used may be very simple indeed, as sticks, blocks, dots, marks, squares, oblongs. 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.