This Arithmetic contains a great number of well-graded and progressive problems, made up for youths from ten to fourteen years of age. Definitions and explanations are made as brief and simple as possible. It is not intended that definitions should be committed to memory, but that they should be simply discussed by teacher and pupils. Every teacher, of course, will be at liberty to give better definitions, and to make a better presentation of methods, than those exhibited in the book. In short, the chief object in view will be gained if pupils are trained to solve the problems by neat and intelligent methods, and are kept free from set rules and formulas. A great many number-problems are given in the first pages of the book, so that the necessary facility and accuracy in computing under the four fundamental rules may be acquired; as want of accuracy and rapidity in mere calculations distracts the attention which should be given to the investigation and correct statement of numerical exercises. The Appendix contains a short chapter on the Metric System, a chapter on Mensuration, and Miscellaneous Problems. The Metric System is treated here because the great majority of grammar-school pupils have no time for the subject, while those who have can as well learn the system at this stage of their progress as earlier. The chapter on Mensuration is suited to the ability of beginners. The intention is not to give a system of Geometry, but to render familiar those notions of Geometry that are indispensable for practical purposes. The whole subject has been illustrated and enforced by numerous practical examples. GINN & COMPANY, PUBLISHERS, BOSTON, NEW YORK, AND CHICAGO. ELEMENTARY LESSONS IN ENGLISH. These admirable books harmonize and utilize to a surprising degree most, if not all, of the practical advantages of conflicting theories. --Dr. G. STANLEY HALL, _Johns Hopkins University_. Their universal use would raise many schoolmasters to the rank of =teachers=. --_State Supt._ M. A. NEWELL, _Md_ Need only their presence to recommend them. --F. W. PARKER, _Prin. Cook Co. Normal School, Ill._ The brightest and most practical book on the subject yet published. --_Supt._ J. O. WILSON, _Washington, D.C._ None more suggestive and helpful to the young teacher. --_Supt._ GEO. HOWLAND, _Chicago, Ill._ Better than any other. --_Supt._ JOHN B. PEASLEE, _Cincinnati_. The =only= books that meet the wants of our elementary schools. --E. V. DE GRAFF, _Institute Conductor_ * * * * * GINN & COMPANY, PUBLISHERS, BOSTON, NEW YORK, AND CHICAGO. Musical Instruction is the most practical instruction given in schools; for music, unlike other branches, becomes immediately useful. _The Primary or First Music Reader._ Introduction Price, 18 cts.; Allowance for old book in exchange, 5 cts. _The Second Music Reader._ Introduction Price, 20 cts.; Allowance for old book, 5 cts.