Excerpt from High School Algebra
This text covers the work prescribed for entrance to the Universities and Normal Schools.
The book is written from the standpoint of the pupil, and in such a form that he will be able to understand it with a minimum of assistance from the teacher. The question method is frequently used in developing the theory. The purpose of this is to lead the pupil to think for himself.
The close connection between algebra and arithmetic is constantly kept in view, and in many cases the arithmetical and algebraic processes are shown in parallel columns.
There are numerous diagrams for the purpose of illustrating the theory, and algebraic methods are applied to many of the theorems which the pupil meets in elementary geometry.
Special emphasis is placed upon the verification of results. In the past, sufficient attention has not been given to this important part of mathematical work.
Provision is made for oral work, many of the exercises being introduced by a number of oral examples for use in class.
The equation and the solution of simple problems are introduced in the second Chapter. It is hoped that the pupil will thus become interested much earlier in the work.
Long multiplications and divisions are not included in the work of the first year. They are difficult for the beginner and of little interest, as there is not much to offer in the way of practical illustrations.
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