In harmony with these laws of the development and growth of mind, this work presents at first the idea of number connected with visual representations of objects; afterward, when the pupils become familiar with the objects, concrete examples are given without illustration, and these are immediately followed by exercises upon abstract numbers, so that the pupil may become familiar with the various combinations that may be formed. The first lessons are devoted to instruction in counting, reading, and writing numbers up to twenty. Immediately following these, are lessons upon Addition, in which abundant practice is given in combining numbers. The fundamental processes of Subtraction, Multiplication and Division, are treated upon a plan similar to that exemplified in Addition, including besides, numerous examples combining two or more of the previous processes. The lessons on Fractions are so simple and yet so thorough, that the pupil is enabled to read, write, add, subtract, multiply, and divide fractions when the processes are not very complex. The work on Written Arithmetic, which follows, is believed to be simple, thorough, and practical; and the brief and practical treatment of the various classes of denominate numbers in common use, makes the work quite comprehensive within its scope. With the hope that the features of this book will commend it to all intelligent persons, and that instruction in the rudiments of arithmetic may be rendered more interesting and effective through its agency, it is confidently offered to the public. STATE NORMAL SCHOOL, GENESEO, N. Y., January, 1878. W. J. M. THE INDUCTIVE SERIES OF MATHEMATICAL TEXT-BOOKS. I. FIRST LESSONS IN ARITHMETIC. II. PRACTICAL ARITHMETIC. III. KEY TO PRACTICAL ARITHMETIC. IV. ELEMENTS OF ALGEBRA. (In preparation.) V. ELEMENTS OF GEOMETRY. (In preparation.) (vi) LESSON I. 1. Of what is this a picture? 2. How many tables are there in the picture? 4. Make as many marks on your slates as there are lamps in the picture. 5. The figure 1 represents one table, one ball, one lamp, or one object of any kind. 6. Make the figure one on your slates. 1. 7. How many kittens are playing with the ball? 8. How many kittens are playing with the cat? 9. How many kittens are 1 kitten and 1 kitten? 10. How many chairs do you see in the picture? 11. Name two objects on the table. 12. Make two marks on your slates. 13. The figure 2 represents two chairs, two books, or two objects of any kind. 14. Make the figure two on your slates. 2. 15. Make the figures one and two. |