Model Mental Arithmetic

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Excerpt from Model Mental Arithmetic: Containing Oral Exercises for Graded and Grammar Schools The plan of this work is intended to aid in the accomplishment of these important results. It unfolds in a natural order the principles underlying every topic presented, and leads by easy gradations and logical analyses to deductions more complex and abstract. The applications of principles are illustrated by numerous and varied examples arranged progressively, the problems and exercises are carefully and systematically classified, reviews combining new prin ciples and methods of solution' with those previously learned are placed at the close of almost every section and chapter. Models of analysis are given, brief and logical in form and correct in expression. While they are offered as the result of long experience in the school-room, it is not expected that they shall be rigidly ad hered to, but they will aid pupils to give additional analyses in their own words. The greatest care should always be taken to secure the strictest accuracy in the statement of the various steps by which fundamental truths are evolved, equal care should be taken to create and stimulate in pupils habits of self-dependence, to train them to rely upon principles and reason, rather than upon mere forms, and to think, compare, and investigate for themselves, for knowledge of this subject becomes useful and available only when they can perceive the conditions of any given problem, understand the relations existing between those conditions, and know how to apply principles in solu tions necessary to obtain required results. Answers to the more difficult problems, together with additional models of analysis and forms of solution are given in the Key, in it are offered also some suggestions as to methods of teaching this im portant branch of Arithmetic, which, it is hoped, will be found useful to the teacher. 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.