A School Algebra (Classic Reprint)

Excerpt from A School Algebra

The guiding rule in the preparation of the present work has been to present the pupil with but one new idea at a time, and, by examples and exercises, to insure its assimilation be fore passing to another. This system is carried out by a minute subdivision of all the algebraic processes, and the end kept in view is that in no case where it can be avoided shall the pupil have to go through a process of which he has not previously learned all the separate steps. As a part of the same plan, definitions are so far as practicable brought in only as they are wanted, the first exercises in indicated opera tions are performed with numbers, and the pupil is set to work on exercises from the start.

Correlative with. The system of subdivision is that of ex tending the scope of the exercises so as to include not only the elementary operations of algebra, but their combinations and applications. It is hoped that the wider range of thought and expression in which the pupil is thus practised will be found to tell in his subsequent studies.

As another part of the same general plan the subject has been divided into three separate courses. The First Course, which extends to Simple Equations, is intended to drill the student in all the fundamental processes by exercises which are, for the most part, of the simplest character. The varied exercises in algebraic expression which are scattered through this course form a feature to which the attention of instructors is especially solicited.

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