New York Teachers' Monographs Volume 6
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1904 edition. Excerpt: ...can be appreciated by mathematicians, but they only serve to confuse and discourage the beginner, and to imbue him with an aversion for the subject. He is generally lost before he gets to the end of the proof. At best, he cannot remember the proposition, even though he may learn it for the moment. 2. The authors of these texts have neglected to preserve the continuity of the subject, and the interlocking relations between the propositions. The beginner thus sees the subject in the light of a fragmentary string of disconnected facts, and derives neither pleasure nor profit from its study. In short, the student fails to catch the spirit of the subject matter. 3. They have made little or no attempt to train the student to attack original exercises. He has become accustomed to repeating demonstrations from the book, and when confronted by an original exercise, is at a loss to know how to proceed. He approaches it from every direction with equal failure, and is naturally disheartened by his inability to apply his knowledge. 4. From the faulty formation of the proofs the student acquires a tendency to memorize literally. This practise is prejudicial to his subsequent progress in Mathematics. He draws little benefit from his study, and generally knows less zt the end than he knew in the beginning. The purpose of Geometry is not to exercise the memory, but to train the observation and the faculty of reasoning. History is a better subject for memory work. We might add that many of our best secondary schools have been obliged to discontinue the use of text-books in teaching Geometry. Numerous other weaknesses could be pointed out that have contributed to the downfall of the books in question. In the present work the aim of the authors has been to eliminate...
- Paperback | 216 pages
- 189 x 246 x 12mm | 395g
- 04 Jul 2012
- Miami Fl, United States
- Illustrations, black and white