THE author, in the preparation of this little book, has aimed to present the first principles of Arithmetic in such a form as to interest and instruct the pupils of Primary Schools and classes.

The first lesson taught the child, in numbers, is to count, which, with the fundamental operations of adding, subtracting, multiplying,, and dividing, can be easily and successfully taught, by the apt teacher, by the proper use of the Numeral Frame, a box of beans, or marbles, or similar objects, which should always be found on the desk of the teacher of young children.

Only a few suggestions, methods, and applications can be presented in so small a work as this, as specimen lessons; and it is expected that the teacher will increase the number and variety, of the exercises on each page, orally, as the circumstances, and the capacity of the child, seem to require.

Examples should be multiplied under each lesson, for the purpose of fixing in the mind of the pupil the table, which should be thoroughly committed to memory. In order to insure this object, the tables should be repeated not only in the direct order, but promiscuously, and in a reversed order. Thus the child should be made to understand, that 3 and 5 is the same as 5 and 3; that 3 times 5 is the same as 5 times 3; that 5 and 5 and 5 is the same as 3 times 5; that if 3 is contained in 15, 5 times, 5 is contained in 15, 3 times, &c.

The hints and exercises on pages 10 and 11, as well as those on pages 24, 25, and 26, should be thoroughly understood and applied.

The pictures introduced are to interest the pupil, and also to illustrate some of the processes of Arithmetic, without the reasoning.

Entered, according to Act of Congress, in the year 1802, by
DANIEL W. FISH, A.M.

In the Clerk's Office of the District Court of the United States, for the
Northern District of New York.

ARITHMETICAL TABLE BOOK.

LESSON I.

1. What is a single thing called?

ANS. A Unit, or one.

2. If another is put with it what is it called? ANS. Two.

3. One doll and one doll are how many? One and one are how many?

4. Two quails and one quail are how many? Two and one are how many?

5. Three dogs and one dog are how many?