Number, as applied to objects, is one of the first properties perceived by the child; he/she intuitively distinguishes between one and more than one, and easily learns to add and subtract small numbers before he/she learns to read.

Addition and Subtraction, which are the converse of each other, are given in immediate connection; so also are Multiplication and Division. Each combination is thus presented in a variety of forms and may be fully committed to memory without wearying the learner.

Every lesson is accompanied by exercises and illustrations. In the exercises all the elementary combinations are arranged progressively, and repeated many times; if the pupil becomes accurate and quick in these, he/she will acquire the basic operations of math.

Many teachers, of great ability and experience in the department of primary instruction, have kindly lent their aid to render the information in this book attractive, thorough, and practical.

Originally published in 1867, it has been republished because the methods in this book are timeless and it will give a child the ability to use a "text book" from our history, therefore engaging him/her in living history.