Author: William BetzPublisher:
ISBN:
Category : Geometry
Languages : en
Pages : 171
Book Description
Work Book in Intuitive Geometry, Experimental Ed
Author: William BetzPublisher:
ISBN:
Category : Geometry
Languages : en
Pages : 171
Book Description
Work Book in Intuitive Geometry
Author: William BetzPublisher:
ISBN:
Category : Geometry
Languages : en
Pages : 171
Book Description
Selected Regular Lectures from the 12th International Congress on Mathematical Education
Author: Sung Je ChoPublisher: Springer
ISBN: 3319171879
Category : Education
Languages : en
Pages : 917
Book Description
This book comprises the full selected Regular Lectures from the Proceedings of the 12th International Congress on Mathematical Education (ICME-12), which was held at COEX in Seoul, Korea, from July 8th to 15th, 2012. ICME-12 brought together 4700 experts from 100 countries, working to understand all of the intellectual and attitudinal challenges in the subject of mathematics education as a multidisciplinary research and practice. These selected Regular Lectures present the work of fifty-one prominent mathematics educators from all over the globe. The Lectures cover a wide spectrum of topics, themes and issues and aim to give direction to future research towards educational improvement in the teaching and learning of mathematics education. This book is of particular interest to researchers, teachers and curriculum developers in mathematics education.
Resources in Education
Author: Visual Differential Geometry and Forms
Author: Tristan NeedhamPublisher: Princeton University Press
ISBN: 0691203695
Category : Mathematics
Languages : en
Pages : 530
Book Description
An inviting, intuitive, and visual exploration of differential geometry and forms Visual Differential Geometry and Forms fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. Using 235 hand-drawn diagrams, Needham deploys Newton’s geometrical methods to provide geometrical explanations of the classical results. In the fifth act, he offers the first undergraduate introduction to differential forms that treats advanced topics in an intuitive and geometrical manner. Unique features of the first four acts include: four distinct geometrical proofs of the fundamentally important Global Gauss-Bonnet theorem, providing a stunning link between local geometry and global topology; a simple, geometrical proof of Gauss’s famous Theorema Egregium; a complete geometrical treatment of the Riemann curvature tensor of an n-manifold; and a detailed geometrical treatment of Einstein’s field equation, describing gravity as curved spacetime (General Relativity), together with its implications for gravitational waves, black holes, and cosmology. The final act elucidates such topics as the unification of all the integral theorems of vector calculus; the elegant reformulation of Maxwell’s equations of electromagnetism in terms of 2-forms; de Rham cohomology; differential geometry via Cartan’s method of moving frames; and the calculation of the Riemann tensor using curvature 2-forms. Six of the seven chapters of Act V can be read completely independently from the rest of the book. Requiring only basic calculus and geometry, Visual Differential Geometry and Forms provocatively rethinks the way this important area of mathematics should be considered and taught.
A Programmed Study of Intuitive Geometry (with Applications in Metric Units)
Author: Ed R. WheelerPublisher:
ISBN:
Category : Geometry
Languages : en
Pages : 224
Book Description
A Study of Intuitive Geometry
Author: Alma M. HaulandPublisher:
ISBN:
Category : Geometry
Languages : en
Pages : 138
Book Description
The Journal of Education
Author: A Shorter Geometry
Author: C. GodfreyPublisher: Forgotten Books
ISBN: 9781330135624
Category : Mathematics
Languages : en
Pages : 327
Book Description
Excerpt from A Shorter Geometry The plan of this book is as follows: First Stage. Introductory work concerned with the fundamental concepts, and not primarily designed to give facility in using instruments. Second Stage. Discovery of the fundamental facts of geometry, by experiment and intuition; including the facts relating to angles at a point, parallels, angles of a triangle and polygon, congruent triangles. When discovered and enunciated, each fact or group of facts is followed by numerical examples and easy riders intended to illustrate and drive home the facts discovered. In the course of this stage the pupil, besides becoming familiar with the fundamental facts, is taught the accurate use of instruments and the elementary ideas of logical argument as used in strict theoretical geometry. Third Stage. Deductive development of the propositions subsequent to those dealt with by experiment and intuition in the second stage. During this stage, experimental and intuitional methods of approaching propositions are by no means excluded. But exercises in drawing are not introduced merely for the sake of drawing; wherever such exercises occur, it is believed that they will help the student to master a geometrical fact, a line of reasoning, or a method of construction. 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.
Bulletin
Author: Kansas Association of Teachers of MathematicsPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1060
Book Description