This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.
This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.
As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
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A ltD COLLEGE UBRAVT GIFT OF THEE quate scrrooL of EOUCAT iof NOTE. ALL agree that the best kind of help for pupils in Ul. Arithmetic and A lgebra, is Self-help; that it is better for the learner not to know the answer to a problem, until he has tried his own ability to solve it. In a word, that it is better for him to solve a single example independently, than a score by the help of a teacher or aK ey. And yet it must be admitted that a majority of teachers desire aK ey. This demand comes not only from young and inexperienced teachers, but from those whose character and scholarship are above suspicion. They desire it, not because of their inability to solve the probleijis, nor because they shrink from labor. Their object is to save time, which they may devote to other branches of study. A well constructed Key will often disclose in a single minute the error in a pupils work, which might consume half an hour of the teachers time, if he were obliged to wade through a long operation. The plan of the work before us is to indicate in full the operations to be performed, and give the results; omitting the minor details. It also contains many valuable suggestions as to the different methods by which certain problems may be solved. It is hoped teachers will find it adapted to their wants. Copyright, 1877, by Jahxs B. Thomson.
(Typographical errors above are due to OCR software and don't occur in the book.)
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