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Final Report of the National Committee of Fifteen on Geometry Syllabus: July, 1912 (Classic Reprint) - Softcover
Inhaltsangabe
Excerpt from Final Report of the National Committee of Fifteen on Geometry Syllabus: July, 1912
The committee regards the historical statement printed in the volume of Proceedings for 1911, pp. 607 - 3 5 inclusive, and constituting Section A of the final report, as most important and calls attention to the following additional reference to this section.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Reseña del editor
Excerpt from Final Report of the National Committee of Fifteen on Geometry Syllabus: July, 1912
The committee regards the historical statement printed in the volume of Proceedings for 1911, pp. 607 - 3 5 inclusive, and constituting Section A of the final report, as most important and calls attention to the following additional reference to this section.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Reseña del editor
Excerpt from Final Report of the National Committee of Fifteen on Geometry Syllabus: July, 1912
The committee regards the historical statement printed in the volume of Proceedings for 1911, pp. 607-35 inclusive, and constituting Section A of the final report, as most important and calls attention to the following additional reference to this section:
The committee recommends the foregoing historical sketch to the careful consideration of teachers of geometry. Special attention is called to the age-long contest between the extreme formalists and the extreme utilitarians. The committee stands for neither extreme position. It recommends a reasonable attention to exercises in concrete setting, such, for instance, as simple problems involving the trigonometric ratios in connection with similar triangles, or such applications as those shown on pages 21-24 of this report. But in so doing it does not recommend diminishing attention to the logical side of the subject, but rather a quickening of the logical sense thru a more rational distribution of emphasis which will make for economy of both time and mental energy in mastering standard theorems and leave opportunity for a broader view of the subject in its concrete relations. See Sections D and E.
(a) Nomenclature.-The best historical usage distinguishes between Axioms (Euclid's "Common Notions") and Postulates (Euclid's aitemata or "requests") by including in the former certain general statements assumed for all mathematics, and in the latter certain specifically geometric concessions. These names and this distinction are now in general use and there seems no good reason for attempting to change them. However, teachers who may wish to use the single term "assumptions" to cover both, or to use the term "axiom" to mean any proposition whose truth is postulated, thus making axiom and postulate synonymous, should be free to do so.
(b) General Nature.-It is evident that strict mathematical science would lead os to seek and to recommend an "irreducible minimum" of assumptions, while educational science leads us to see that such a list would be unintelligible to pupils and therefore unusable in the schools.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Final Report of the National Committee of Fifteen on Geometry Syllabus
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Final Report of the National Committee of Fifteen on Geometry Syllabus
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Final Report of the National Committee of Fifteen on Geometry Syllabus: July
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Paperback. Zustand: New. Print on Demand. This book presents a detailed report on the curriculum for teaching geometry, as suggested by the National Committee of Fifteen in 1912. As part of a broader discussion on the teaching of geometry in secondary schools, the report considers the advantages and drawbacks of extreme formalists and extreme utilitarians. The author comes out in support of a middle ground, where logical and concrete elements are fused to make the course more engaging for the student. The report addresses not only the practical side of geometry but also the theoretical and cultural aspects that are pivotal to the discipline. Ultimately, the bookâs utility and profound insights make it a valuable resource for teachers of geometry, helping them to present the subject in a way that will be stimulating and effective in the classroom. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781330585948_0
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