PREFACE TO THE REVISED EDITION. A NUMBER of changes have been thought desirable in the plan of "The New Advanced Arithmetic"; all of them, however, are intended to recognize the latest and best phases of class-room work in arithmetic. Some of these changes more particularly in the early part of the book - have been necessary the better to relate the Advanced to the Elementary book of the Series, which has at the same time undergone revision. Much emphasis is given to Factoring, and its application to Cancellation, Highest Common Factor, Lowest Common Multiple, and Evolution. The equation is introduced in a simple form much earlier than in the previous edition. This is done in order to simplify the treatment of other important topics which follow it. Percentage, with its applications, as well as Mensuration, are treated more fully than before. A large number of new problems have been added, which will, it is thought, be found interesting and profitable. Cube Root, Compound Proportion, Equation of Payments, and True Discount are among the subjects which have been omitted. It is hoped that the revised book is fairly representative of what is best and most progressive in present-day methods, and that teachers generally will find it well adapted to their needs. PREFACE TO FIRST EDITION. IT has seemed to the authors of the NORMAL COURSE IN NUMBER that there is room for another series of Arithmetics, notwithstanding the fact that there are many admirable books on the subject already in the field. The ELEMENTARY ARITHMETIC is the result of the experience of a supervisor of primary schools in a leading American city. Finding it quite impossible to secure satisfactory results by the use of such elementary arithmetics as were available, she began the experiment of supplying supplementary material. An effort was made to prepare problems that should be in the highest degree practical, that should develop the subject systematically, and that should appeal constantly to the child's ability to think. Believing that abundant practice is a prime necessity to the acquisition of skill, the number of problems was made unusually large. The accumulations of several years have been carefully reexamined, re-arranged, and supplemented, and are now presented to the public for its candid consideration. Not the least valuable feature of this book is the careful gradation of the examples, securing thereby a natural and logical development of number work. No space is occupied with the presentation of theory, that side of the subject being left to the succeeding book. The first thoughts are what and how, these so presented that the processes shall be easily |