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Author : Jürgen Richter-Gebert,Ulrich H Kortenkamp
Publisher : Unknown
Page : 156 pages
File Size : 48,5 Mb
Release : 2000-06-21
Category : Electronic
ISBN : 3642583199
Author : Jürgen Richter-Gebert,Ulrich H. Kortenkamp
Publisher : Springer Science & Business Media
Page : 153 pages
File Size : 46,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642583186
Cinderella is a unique, technically very sophisticated teachware for geometry that will be used as a tool by students learning Euclidean, projective, spherical and hyperbolic geometry, as well as in geometric research. Moreover, it can also serve as an authors' tool to design web pages with interactive constructions or even complete geometry exercises.
Author : Jürgen Richter-Gebert,Ulrich H. Kortenkamp
Publisher : Springer Science & Business Media
Page : 458 pages
File Size : 49,5 Mb
Release : 2012-01-13
Category : Mathematics
ISBN : 9783540349266
Cinderella.2, the new version of the well-known interactive geometry software, has become an even more versatile tool than its predecessor. The geometry component extends the functionality to such spectacular objects as dynamic fractals, and the software includes two major new components: physical simulation such as of mechanical objects, virtual electronic devices, and electromagnetic properties. Cinderella.2 Documentation offers complete instruction and techniques for using Cinderella.2.
Author : Andres Iglesias,Nobuki Takayama
Publisher : Springer
Page : 467 pages
File Size : 52,5 Mb
Release : 2006-08-31
Category : Computers
ISBN : 9783540380863
This book constitutes the refereed proceedings of the Second International Congress on Mathematical Software, ICMS 2006. The book presents 45 revised full papers, carefully reviewed and selected for presentation. The papers are organized in topical sections on new developments in computer algebra packages, interfacing computer algebra in mathematical visualization, software for algebraic geometry and related topics, number-theoretical software, methods in computational number theory, free software for computer algebra, and general issues.
Author : Meera Sitharam,Audrey St. John,Jessica Sidman
Publisher : CRC Press
Page : 605 pages
File Size : 47,7 Mb
Release : 2018-07-20
Category : Mathematics
ISBN : 9781498738927
The Handbook of Geometric Constraint Systems Principles is an entry point to the currently used principal mathematical and computational tools and techniques of the geometric constraint system (GCS). It functions as a single source containing the core principles and results, accessible to both beginners and experts. The handbook provides a guide for students learning basic concepts, as well as experts looking to pinpoint specific results or approaches in the broad landscape. As such, the editors created this handbook to serve as a useful tool for navigating the varied concepts, approaches and results found in GCS research. Key Features: A comprehensive reference handbook authored by top researchers Includes fundamentals and techniques from multiple perspectives that span several research communities Provides recent results and a graded program of open problems and conjectures Can be used for senior undergraduate or graduate topics course introduction to the area Detailed list of figures and tables About the Editors: Meera Sitharam is currently an Associate Professor at the University of Florida’s Department of Computer & Information Science and Engineering. She received her Ph.D. at the University of Wisconsin, Madison. Audrey St. John is an Associate Professor of Computer Science at Mount Holyoke College, who received her Ph. D. from UMass Amherst. Jessica Sidman is a Professor of Mathematics on the John S. Kennedy Foundation at Mount Holyoke College. She received her Ph.D. from the University of Michigan.
Author : G. Farin,J. Hoschek,M.-S. Kim
Publisher : Elsevier
Page : 849 pages
File Size : 52,6 Mb
Release : 2002-08-13
Category : Mathematics
ISBN : 9780080533407
This book provides a comprehensive coverage of the fields Geometric Modeling, Computer-Aided Design, and Scientific Visualization, or Computer-Aided Geometric Design. Leading international experts have contributed, thus creating a one-of-a-kind collection of authoritative articles. There are chapters outlining basic theory in tutorial style, as well as application-oriented articles. Aspects which are covered include: Historical outline Curve and surface methods Scientific Visualization Implicit methods Reverse engineering. This book is meant to be a reference text for researchers in the field as well as an introduction to graduate students wishing to get some exposure to this subject.
Author : John A. Campbell,Eugenio Roanes-Lozano
Publisher : Springer
Page : 258 pages
File Size : 48,5 Mb
Release : 2003-06-29
Category : Computers
ISBN : 9783540449904
This book constitutes the thoroughly refereed post-proceedings of the International Conference on Artificial Intelligence and Symbolic Computation, AISC 2000, held in Madrid, Spain in July 2000. The 17 revised full papers presented together with three invited papers were carefully reviewed and revised for inclusion in the book. Among the topics addressed are automated theorem proving, logical reasoning, mathematical modeling of multi-agent systems, expert systems and machine learning, computational mathematics, engineering, and industrial applications.
Author : Arthur Tatnall,Anthony Jones
Publisher : Springer
Page : 466 pages
File Size : 43,6 Mb
Release : 2009-07-14
Category : Education
ISBN : 9783642031151
Education and Technology for a Better World was the main theme for WCCE 2009. The conference highlights and explores different perspectives of this theme, covering all levels of formal education as well as informal learning and societal aspects of education. The conference was open to everyone involved in education and training. Additionally players from technological, societal, business and political fields outside education were invited to make relevant contributions within the theme: Education and Technology for a Better World. For several years the WCCE (World Conference on Computers in Education) has brought benefits to the fields of computer science and computers and education as well as to their communities. The contributions at WCCE include research projects and good practice presented in different formats from full papers to posters, demonstrations, panels, workshops and symposiums. The focus is not only on presentations of accepted contributions but also on discussions and input from all participants. The main goal of these conferences is to provide a forum for the discussion of ideas in all areas of computer science and human learning. They create a unique environment in which researchers and practitioners in the fields of computer science and human learning can interact, exchanging theories, experiments, techniques, applications and evaluations of initiatives supporting new developments that are potentially relevant for the development of these fields. They intend to serve as reference guidelines for the research community.
Author : Gila Hanna,Laura Macchi,Karin Binder,Laura Martignon,Katharina Loibl
Publisher : Frontiers Media SA
Page : 552 pages
File Size : 51,7 Mb
Release : 2023-09-05
Category : Science
ISBN : 9782832529997
Modern Mathematics is constructed rigorously through proofs, based on truths, which are either axioms or previously proven theorems. Thus, it is par excellence a model of rational inquiry. Links between Cognitive Psychology and Mathematics Education have been particularly strong during the last decades. Indeed, the Enlightenment view of the rational human mind that reasons, makes decisions and solves problems based on logic and probabilities, was shaken during the second half of the twentieth century. Cognitive psychologists discovered that humans' thoughts and actions often deviate from rules imposed by strict normative theories of inference. Yet, these deviations should not be called "errors": as Cognitive Psychologists have demonstrated, these deviations may be either valid heuristics that succeed in the environments in which humans have evolved, or biases that are caused by a lack of adaptation to abstract information formats. Humans, as the cognitive psychologist and economist Herbert Simon claimed, do not usually optimize, but rather satisfice, even when solving problem. This Research Topic aims at demonstrating that these insights have had a decisive impact on Mathematics Education. We want to stress that we are concerned with the view of bounded rationality that is different from the one espoused by the heuristics-and-biases program. In Simon’s bounded rationality and its direct descendant ecological rationality, rationality is understood in terms of cognitive success in the world (correspondence) rather than in terms of conformity to content-free norms of coherence (e.g., transitivity).
Author : Ehrhard Behrends,Nuno Crato,José Francisco Rodrigues
Publisher : Springer Science & Business Media
Page : 404 pages
File Size : 42,9 Mb
Release : 2012-07-04
Category : Mathematics
ISBN : 9783642257100
This collective book aims to encourage and inspire actions directed towards raising public awareness of the importance of mathematical sciences for our contemporary society in a cultural and historical perspective. Mathematical societies, in Europe and around the world, can find ideas, blueprints and suggestions for activities – including concerted actions with other international organizations – directed towards raising public awareness of science, technology and other fields where mathematics plays a strong role. The material is divided into four parts: • National experiences • Exhibitions / mathematical museums • Popularization activities • Popularization: why and how?
Author : Csaba D. Toth,Joseph O'Rourke,Jacob E. Goodman
Publisher : CRC Press
Page : 2879 pages
File Size : 51,7 Mb
Release : 2017-11-22
Category : Computers
ISBN : 9781351645911
The Handbook of Discrete and Computational Geometry is intended as a reference book fully accessible to nonspecialists as well as specialists, covering all major aspects of both fields. The book offers the most important results and methods in discrete and computational geometry to those who use them in their work, both in the academic world—as researchers in mathematics and computer science—and in the professional world—as practitioners in fields as diverse as operations research, molecular biology, and robotics. Discrete geometry has contributed significantly to the growth of discrete mathematics in recent years. This has been fueled partly by the advent of powerful computers and by the recent explosion of activity in the relatively young field of computational geometry. This synthesis between discrete and computational geometry lies at the heart of this Handbook. A growing list of application fields includes combinatorial optimization, computer-aided design, computer graphics, crystallography, data analysis, error-correcting codes, geographic information systems, motion planning, operations research, pattern recognition, robotics, solid modeling, and tomography.
Author : Alan Bishop,M.A. (Ken) Clements,Christine Keitel-Kreidt,Jeremy Kilpatrick,Frederick Koon-Shing Leung
Publisher : Springer Science & Business Media
Page : 978 pages
File Size : 48,5 Mb
Release : 2012-02-02
Category : Education
ISBN : 9789401002738
ALAN 1. BISHOP The first International Handbook on Mathematics Education was published by Kluwer Academic Publishers in 1996. However, most of the writing for that handbook was done in 1995 and generally reflected the main research and development foci prior to 1994. There were four sections, 36 chapters, and some 150 people contributed to the final volume either as author, reviewer, editor, or critical friend. The task was a monumental one, attempting to cover the major research and practice developments in the international field of mathematics education as it appeared to the contributors in 1995. Inevitably there were certain omissions, some developments were only starting to emerge, and some literatures were only sketchy and speculative. However that Handbook has had to be reprinted three times, so it clearly fulfilled a need and I personally hope that it lived up to what I wrote in its Introduction: The Handbook thus attempts not merely to present a description of the international 'state-of-the-field', but also to offer synthetic and reflective overviews on the different directions being taken by the field, on the gaps existing in our present knowledge, on the current problems being faced, and on the future possibilities for development. (Bishop et aI. , 1996) Since that time there has been even more activity in our field, and now seems a good time to take stock again, to reflect on what has happened since 1995, and to create a second Handbook with the same overall goals.
Author : Pascal Schreck,Julien Narboux,Jürgen Richter-Gebert
Publisher : Springer
Page : 259 pages
File Size : 54,8 Mb
Release : 2011-11-10
Category : Computers
ISBN : 9783642250705
This book constitutes the thoroughly refereed post-workshop proceedings of the 8th International Workshop on Automated Deduction in Geometry, ADG 2010, held in Munich, Germany in July 2010. The 13 revised full papers presented were carefully selected during two rounds of reviewing and improvement from the lectures given at the workshop. Topics addressed by the papers are incidence geometry using some kind of combinatoric argument; computer algebra; software implementation; as well as logic and proof assistants.
Author : Gert-Martin Greuel,Thorsten Koch,Peter Paule,Andrew Sommese
Publisher : Springer
Page : 532 pages
File Size : 50,8 Mb
Release : 2016-07-05
Category : Computers
ISBN : 9783319424323
This book constitutes the proceedings of the 5th International Conference on Mathematical Software, ICMS 2015, held in Berlin, Germany, in July 2016. The 68 papers included in this volume were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections named: univalent foundations and proof assistants; software for mathematical reasoning and applications; algebraic and toric geometry; algebraic geometry in applications; software of polynomial systems; software for numerically solving polynomial systems; high-precision arithmetic, effective analysis, and special functions; mathematical optimization; interactive operation to scientific artwork and mathematical reasoning; information services for mathematics: software, services, models, and data; semDML: towards a semantic layer of a world digital mathematical library; miscellanea.
Author : Anne McDougall,John Murnane,Anthony Jones,Nick Reynolds
Publisher : Routledge
Page : 231 pages
File Size : 40,9 Mb
Release : 2010-01-21
Category : Computers
ISBN : 9781135191191
Identifying valuable approaches for future work in the sub-discipline of IT in education, this book addresses the wide criticisms that have been levelled at research in this area.
