Lessons I to IX contain Addition and Subtraction of numbers from one to ten.

Lessons X to XII are Reviews in Addition and Subtraction. Lesson XIII illustrates the writing of numbers to twenty. Lessons XIV to XXIII contain Addition and Subtraction of numbers from ten to twenty, with Addition and Subtraction Tables and short columns for Addition.

Lessons XXIV to XXVI are Reviews in Addition and Subtraction.

Lesson XXVII illustrates the writing of numbers to one hundred.

Lessons XXVIII to XXXVIII contain Multiplication and Division combined; also, Multiplication and Division Tables. Lessons XXXIX to XLII contain Multiplication, with solutions.

Lessons XLIII to XLVI contain the subtractive form of Division, with solutions.

Lessons XLVII to XLIX contain the subtractive form of Division, with remainders.

Lesson L contains Reviews.

Lessons LI and LII contain the fractional form of Division. Lessons LIII and LIV contain applications of Multiplication and Division.

Lesson LV contains Reviews.

Lessons LVI to LXIV treat of Fractions.

Lesson LXV contains Reviews.

Lessons LXVI to LXXI contain Compound Numbers, with

tables and applications.

Page 95 contains a Review Circle.

Page 96 contains the Multiplication Table.

Entered, according to Act of Congress, in 1866, by G. A. WALTON, in the
Clerk's Office of the District Court of the District of Massachusetts.

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

The elementary combinations of numbers, with appropriate illustrations, are treated in this book upon the plan of object-lessons. 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.

Nearly every lesson is accompanied by an exercise for the slate. The figures in script are from the excellent copy-books of the Messrs. Payson, Dunton, and Scrib

ner.

In the Exercises in Addition, in columns, all the elementary combinations are arranged progressively, and repeated many times; if the pupil becomes accurate and quick in adding these, he will readily acquire facility in the practice of the other mechanical operations of arithmetic.

It is due to Mrs. Walton to state that, although in this, as in the Written Arithmetic, but one name appears upon the title page, she has equal claims with myself to the authorship of the book.

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

LAWRENCE, May 5, 1866.

G. A. WALTON.