Turtle Geometry

The Computer as a Medium for Exploring Mathematics

Author: Harold Abelson,Andrea A. DiSessa

Publisher: MIT Press

ISBN: 9780262510370

Category: Computers

Page: 477

View: 4997

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Turtle Geometry presents an innovative program of mathematical discovery thatdemonstrates how the effective use of personal computers can profoundly change the nature of astudent's contact with mathematics. Using this book and a few simple computer programs, students canexplore the properties of space by following an imaginary turtle across the screen.The concept ofturtle geometry grew out of the Logo Group at MIT. Directed by Seymour Papert, author of Mindstorms,this group has done extensive work with preschool children, high school students and universityundergraduates. Harold Abelson is an associate professor in the Department of Electrical Engineeringand Computer Science at MIT. Andrea diSessa is an associate professor in the Graduate School ofEducation, University of California, Berkeley.

Perspectives on the Teaching of Geometry for the 21st Century

An ICMI Study

Author: C. Mammana,V. Villani

Publisher: Springer Science & Business Media

ISBN: 9401152268

Category: Education

Page: 353

View: 2938

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In recent years geometry seems to have lost large parts of its former central position in mathematics teaching in most countries. However, new trends have begun to counteract this tendency. There is an increasing awareness that geometry plays a key role in mathematics and learning mathematics. Although geometry has been eclipsed in the mathematics curriculum, research in geometry has blossomed as new ideas have arisen from inside mathematics and other disciplines, including computer science. Due to reassessment of the role of geometry, mathematics educators and mathematicians face new challenges. In the present ICMI study, the whole spectrum of teaching and learning of geometry is analysed. Experts from all over the world took part in this study, which was conducted on the basis of recent international research, case studies, and reports on actual school practice. This book will be of particular interest to mathematics educators and mathematicians who are involved in the teaching of geometry at all educational levels, as well as to researchers in mathematics education.

Curriculum Provision for the Gifted and Talented in the Primary School

English,Math, Science, ICT

Author: Eyre Deborah,Lynne McClure

Publisher: Routledge

ISBN: 1136629440

Category: Education

Page: 160

View: 6010

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The authors of this book offer practical help to teachers in making day-to-day provision for the gifted and talented pupils in their classroom. Designed mainly for primary teacher, intending teachers and teacher trainers, the book draws together current findings in curriculum provision in the core subjects, links theory and practice in such a way that the readers can benefit from exemplar material, and allows them to adapt their own teaching to provide an inclusive curriculum for the gifted and talented children they teach.

Constructing Mathematical Knowledge

Epistemology and Mathematics Education

Author: Paul Ernest

Publisher: Routledge

ISBN: 1135716196

Category: Education

Page: 300

View: 3358

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This book provides a panorama of complimentary and forward looking perspectives on the learning of mathematics and epistemology from some of the leading contributors to the field. It explores constructivist and social theories of learning, and discusses the role of the computer in the light of these theories. It brings analyses from psychoanalysis, Hermeneutics and other perspectives to bear on the issues of mathematics and learning. It enquires into the nature of enquiry itself, and an important emergent theme is the role of language. Finally it relates the history of mathematics to its teaching and learning. The book both surveys current research and indicates orientations for fruitful work in the future.

Windows on Mathematical Meanings

Learning Cultures and Computers

Author: Richard Noss,Celia Hoyles

Publisher: Springer Science & Business Media

ISBN: 9400916965

Category: Education

Page: 278

View: 1406

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This book challenges some of the conventional wisdoms on the learning of mathematics. The authors use the computer as a window onto mathematical meaning-making. The pivot of their theory is the idea of webbing, which explains how someone struggling with a new mathematical idea can draw on supportive knowledge, and reconciles the individual's role in mathematical learning with the part played by epistemological, social and cultural forces.

The Age of Spiritual Machines

When Computers Exceed Human Intelligence

Author: Ray Kurzweil

Publisher: Penguin

ISBN: 9781101077887

Category: Computers

Page: 400

View: 7213

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Ray Kurzweil is the inventor of the most innovative and compelling technology of our era, an international authority on artificial intelligence, and one of our greatest living visionaries. Now he offers a framework for envisioning the twenty-first century--an age in which the marriage of human sensitivity and artificial intelligence fundamentally alters and improves the way we live. Kurzweil's prophetic blueprint for the future takes us through the advances that inexorably result in computers exceeding the memory capacity and computational ability of the human brain by the year 2020 (with human-level capabilities not far behind); in relationships with automated personalities who will be our teachers, companions, and lovers; and in information fed straight into our brains along direct neural pathways. Optimistic and challenging, thought-provoking and engaging, The Age of Spiritual Machines is the ultimate guide on our road into the next century. From the Trade Paperback edition.

Unobstructed Shortest Paths in Polyhedral Environments

Author: Varol Akman

Publisher: Springer Science & Business Media

ISBN: 9783540176299

Category: Computers

Page: 106

View: 7685

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The first examination of the cervical spine is always made using standard radiographs and, often enough, this suffices as a basis for diagnosis. Malformations, tumours, and more frequently traumas, rheumatism, and even ordinary neck pain require radiological examination of the spine. Interpretation, however, is difficult. Take a cervical vertebra in your hand and you will see that it is complex enough itself. In radiology the overlapping pieces of bone, summation phenomena and the diversity of viewing angles complicate interpretation of the images still further. The book by J.-F. Bonneville and F. Cattin suggests an original method of reading the radiographs, strict but very attractive, which considerably simplifies the interpretation of images of the cervical spine. This book shows that two- or threedimensional computed tomograms accompany standard radiographs as an excellent aid to comprehension. It is as though the reader had access to each part of the bony anatomy shown in the radiographs and from then on everything becomes easy, superimpositions disappear, traps become visible, anatomy triumphs, the image lives.