Elementary and Constructional Geometry
Fb&c Limited, Jun 24, 2015 - Mathematics - 176 pages
Excerpt from Elementary and Constructional Geometry
This book is designed for pupils beginning Geometry at the age of twelve, or even younger. It is based upon the author's class-room experience with young boys during the last twelve years. It is hoped that it may prove an aid to those teachers who do not want a text-book except as a guide to the pupil, to enable him to review the principles developed in the class by answering for himself a set of questions similar to those asked in the class-room, and by working out practical problems illustrative of the principles studied. It cannot be used as a text-book from which lessons are assigned in advance to the class. Each principle should be developed by the teacher and the class, working together - the principle coming at the end, not at the beginning, of the study - and then a lesson from the book, covering essentially the same ground, should be assigned. The book has not been divided into lessons, because sometimes a single paragraph will afford material for several lessons, and, again, several pages can be mastered in one lesson. Each teacher should be free to develop his subject in his own way without artificial lines of division.
The main object of the first year's study is to make the pupils perfectly familiar with the use of their tools, so that in the study of Theoretical Geometry the construction of the figures will present no difficulty. In the pursuit of this object a great many useful working principles are learned, which greatly simplify the more advanced study of the subject.
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