Dynamic Geometry
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Geometry Turned On
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Author : James King
language : en
Publisher: Cambridge University Press
Release Date : 1997-10-30
Geometry Turned On written by James King and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-10-30 with Mathematics categories.
Articles about the uses of active, exploratory geometry carried out with interactive computer software.
Dynamic Geometry On Time Scales
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Author : Svetlin G. Georgiev
language : en
Publisher: CRC Press
Release Date : 2021-12-23
Dynamic Geometry On Time Scales written by Svetlin G. Georgiev and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-23 with Mathematics categories.
This book introduces plane curves on time scales. They are deducted the Frenet equations for plane and space curves. In the book is presented the basic theory of surfaces on time scales. They are defined tangent plane, \sigma_1 and \sigma_2 tangent planes, normal, \sigma_1 and \sigma_2 normals to a surface. They are introduced differentiable maps and differentials on surface. This book provides the first and second fundamental forms of surfaces on time scales. They are introduced minimal surfaces and geodesics on time scales. In the book are studied the covaraint derivatives on time scales, pseudo-spherical surfaces and \sigma_1, \sigma_2 manifolds on time scales.
Adventures In Dynamic Geometry
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Author : Gerry Stahl
language : en
Publisher: Lulu.com
Release Date : 2015-10-06
Adventures In Dynamic Geometry written by Gerry Stahl and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-06 with Education categories.
Math games and workbooks with topics for online small groups of teachers or students to collaboratively learn dynamic geometry. The approach is based on "Translating Euclid." The many GeoGebra files used in VMT courses are pictured in the workbook. Several versions of the workbooks are available, including the version used in WinterFest 2013 and analyzed in "Translating Euclid" and "Constructing Dynamic Triangles Together." Also includes the content of a game version that is available as a GeoGebraBook.
Dynamic Geometry
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Author : Ronnie Goldstein
language : en
Publisher:
Release Date : 1996
Dynamic Geometry written by Ronnie Goldstein and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Geometry categories.
Dynamic Geometry On Time Scales
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Author : Svetlin G. Georgiev
language : en
Publisher:
Release Date : 2022
Dynamic Geometry On Time Scales written by Svetlin G. Georgiev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with categories.
The Geometer S Sketchpad
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Author : [Anonymus AC08254113]
language : en
Publisher:
Release Date : 2006
The Geometer S Sketchpad written by [Anonymus AC08254113] and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Geometry categories.
An intuitive and dynamic exploration of geometrical relationships. Permits the construction of any geometric aspect of a figure; models geometry in two linked views - sketches depict concrete geometry and emphasise spatial reasoning, scripts describe constructions verbally and abstractly.
Essays In Collaborative Dynamic Geometry
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Author : Gerry Stahl
language : en
Publisher: Lulu.com
Release Date : 2017-02-15
Essays In Collaborative Dynamic Geometry written by Gerry Stahl and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-15 with Education categories.
This volume includes analyses of student teams using the VMT environment with multi-user GeoGebra. These studies are related to the presentations in "Translating Euclid" and "Constructing Dynamic Triangles Together." These essays document the most recent stage of the Virtual Math Teams Project.
Designing Learning Environments For Developing Understanding Of Geometry And Space
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Author : Richard Lehrer
language : en
Publisher: Routledge
Release Date : 2012-11-12
Designing Learning Environments For Developing Understanding Of Geometry And Space written by Richard Lehrer and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-12 with Education categories.
This volume reflects an appreciation of the interactive roles of subject matter, teacher, student, and technologies in designing classrooms that promote understanding of geometry and space. Although these elements of geometry education are mutually constituted, the book is organized to highlight, first, the editors' vision of a general geometry education; second, the development of student thinking in everyday and classroom contexts; and third, the role of technologies. Rather than looking to high school geometry as the locus--and all too often, the apex--of geometric reasoning, the contributors to this volume suggest that reasoning about space can and should be successfully integrated with other forms of mathematics, starting at the elementary level and continuing through high school. Reintegrating spatial reasoning into the mathematical mainstream--indeed, placing it at the core of K-12 mathematics environments that promote learning with understanding--will mean increased attention to problems in modeling, structure, and design and reinvigoration of traditional topics such as measure, dimension, and form. Further, the editors' position is that the teaching of geometry and spatial visualization in school should not be compressed into a characterization of Greek geometry, but should include attention to contributions to the mathematics of space that developed subsequent to those of the Greeks. This volume is essential reading for those involved in mathematics education at all levels, including university faculty, researchers, and graduate students.
Moving On With Dynamic Geometry
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Author :
language : en
Publisher:
Release Date : 2005
Moving On With Dynamic Geometry written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Geometry categories.
Geometry From Dynamics Classical And Quantum
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Author : José F. Cariñena
language : en
Publisher: Springer
Release Date : 2014-09-23
Geometry From Dynamics Classical And Quantum written by José F. Cariñena and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-23 with Science categories.
This book describes, by using elementary techniques, how some geometrical structures widely used today in many areas of physics, like symplectic, Poisson, Lagrangian, Hermitian, etc., emerge from dynamics. It is assumed that what can be accessed in actual experiences when studying a given system is just its dynamical behavior that is described by using a family of variables ("observables" of the system). The book departs from the principle that ''dynamics is first'' and then tries to answer in what sense the sole dynamics determines the geometrical structures that have proved so useful to describe the dynamics in so many important instances. In this vein it is shown that most of the geometrical structures that are used in the standard presentations of classical dynamics (Jacobi, Poisson, symplectic, Hamiltonian, Lagrangian) are determined, though in general not uniquely, by the dynamics alone. The same program is accomplished for the geometrical structures relevant to describe quantum dynamics. Finally, it is shown that further properties that allow the explicit description of the dynamics of certain dynamical systems, like integrability and super integrability, are deeply related to the previous development and will be covered in the last part of the book. The mathematical framework used to present the previous program is kept to an elementary level throughout the text, indicating where more advanced notions will be needed to proceed further. A family of relevant examples is discussed at length and the necessary ideas from geometry are elaborated along the text. However no effort is made to present an ''all-inclusive'' introduction to differential geometry as many other books already exist on the market doing exactly that. However, the development of the previous program, considered as the posing and solution of a generalized inverse problem for geometry, leads to new ways of thinking and relating some of the most conspicuous geometrical structures appearing in Mathematical and Theoretical Physics.