GEO. W. HULL, M. A., PH.D.,

PROFESSOR OF MATHEMATICS IN THE FIRST PENNSYLVANIA STATE NORMAL
SCHOOL, MILLERSVILLE, PA.

BUTLER, SHELDON & COMPANY,

PHILADELPHIA, NEW YORK, CHICAGO.

PREFACE.

It is evident to every thoughtful instructor of mathematics that a great many processes are taught in arithmetic to-day which neither furnish the mind with useful knowledge nor develop in it a high degree of culture.

The "Committee of Ten on Secondary School Studies" appointed at the meeting of the National Educational Association, July 9, 1892, recommend, in their report, the omission of a number of processes usually found in elementary arithmetics. In harmony with this report, it has been made an object of this book to eliminate all these unnecessary operations, and to enrich the subject with a large number of exercises in simple calculations and concrete problems. The young pupil will thus be enabled to master the elements of arithmetic with ease and to acquire skill in the use of numbers.

GEO. W. HULL.

MILLERSVILLE, Pa.,

December 28, 1894.

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ELEMENTARY ARITHMETIC.

SECTION I.

ELEMENTARY RESULTS.

THE NUMBER ONE.

@ 1.

1. SHOW me one finger; one hand; one arm.
2. Show me one block; one book; one pencil.
3. Point to one chair; one table; one window.
The figure 1 represents one.
Make the figure one.

THE NUMBER TWO.

2.

1. How many hands do you have? How many arms? How many wings has a bird? How many eyes? 2. Show me two fingers; two hands.

The figure 2 represents two.

Make the figure two.

3. Show me one block.

Put one more block with it.

4. How many blocks do you now have?

5. How many blocks are 1 block and 1 block?