THIS work is not the result of any ambition on the part of the publishers to add another title to their already long list of text-books, but of a desire to meet a wide-spread and growing demand for a treatise on arithmetic adapted to the objective methods of instruction now so common in all educational institutions which have been reached directly or indirectly by the influence of normal schools, teachers' institutes, etc. In its preparation the author has kept steadily in view these two thoughts: (1) That words are useless in the ratio that they fail to call up in the mind vivid images of the things signified. Hence the aim to vitalize the relation of words and things by the aid of the best practicable illustrations at every point; and (2), That, to the learner, the processes of arithmetic are apt to be but blind manipulations of figures after prescribed models, unless he realizes the fact that they are only convenient substitutes for operations that may be applied to the objects which they represent. The book is intended to be put into the hands of the learner as soon as he has completed a course in primary arithmetic; but it would be well for him to begin the study of it with the first chapter, that he may get a better technical knowledge of the fundamental rules and their relations to each other, and that he may become rapid and reliable in computations involving integers before he takes up the more complicated subject of fractiors. Great care has been taken to adapt the work as far as possible to the needs of the great number of children who are withdrawn from school before a full course in arithmetic can be completed. With this object in view, the more useful business applications of elementary principles are made as soon as they are learned. Thus, familiar measures are introduced before reduction is mentioned; federal money before decimals, etc. the The knowledge of percentage and interest to be gained by the study of pages devoted to these subjects, in advance of their more formal treatment in Part II, will be found amply sufficient to meet the demands of all common business affairs. 28922 5. Lo the simple and direct methods of treating the fundmeni mla muy va cele treating percentage and interest. the rigerons werence throughout the work to the inductive methods • To the great number of purely mental exercises to be found in this bok. Closely associated as these are with the corresponding steps in what is qmmonly called written arithmetic, they aid the student in soquiring a thorough understanding of the particular subject in hand, as well as faelity yuputation without the aid of the pencil 7he number and variety of exercises and problems in this work are so grow me to superage and necesity for supplementary books in either mcliud or wringed anthede. Sun Agwe Gry May 14, 1887 |