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: 1859

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Turtle Geometry presents an innovative program of mathematical discovery that demonstrates how the effective use of personal computers can profoundly change the nature of a student's contact with mathematics. Using this book and a few simple computer programs, students can explore the properties of space by following an imaginary turtle across the screen.The concept of turtle 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 university undergraduates. Harold Abelson is an associate professor in the Department of Electrical Engineering and Computer Science at MIT. Andrea diSessa is an associate professor in the Graduate School of Education, University of California, Berkeley.

Designing Learning Environments for Developing Understanding of Geometry and Space

Author: Richard Lehrer,Daniel Chazan
Publisher: Routledge
ISBN: 1136490582
Category: Education
Page: 518
View: 7305

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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.

Computer Assisted Learning in Physics Education

Author: Alfred Bork
Publisher: Elsevier
ISBN: 1483149005
Category: Science
Page: 90
View: 5865

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Computer Assisted Learning in Physics Education focuses on the use of computers in learning physics. Organized into six chapters, the book begins with an explanation of the CONDUIT series in physics. Subsequent chapters focus on physics education with or without computers; a computer-based course in classical mechanics; physics in the Irvine Educational Technology Center; and an electronics course using an intelligent video format. The last chapter addresses computation as a physical and intellectual environment for learning physics. The book will be useful for physics students as an aid in the use of computers in this field.

Research on e-Learning and ICT in Education

Author: Athanassios Jimoyiannis
Publisher: Springer Science & Business Media
ISBN: 9781461410836
Category: Education
Page: 316
View: 9468

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This book aims to serve as a multidisciplinary forum covering technical, pedagogical, organizational, instructional, as well as policy aspects of ICT in Education and e-Learning. Special emphasis is given to applied research relevant to educational practice guided by the educational realities in schools, colleges, universities and informal learning organizations. In a more generic scope, the volume aims to encompass current trends and issues determining ICT integration in practice, including learning and teaching, curriculum and instructional design, learning media and environments, teacher education and professional development, assessment and evaluation, etc.

Perspectives on the Teaching of Geometry for the 21st Century

An ICMI Study
Author: Carmelo Mammana,V. Villani
Publisher: Springer Science & Business Media
ISBN: 9401152268
Category: Education
Page: 353
View: 8640

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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.

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: 3000

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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.


Children, Computers, And Powerful Ideas
Author: Seymour A. Papert
Publisher: Basic Books
ISBN: 9780465046744
Category: Education
Page: 252
View: 5073

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Mindstorms has two central themes: that children can learn to use computers in a masterful way and that learning to use computers can change the way they learn everything else. Even outside the classroom, Papert had a vision that the computer could be used just as casually and as personally for a diversity of purposes throughout a person's entire life. Seymour Papert makes the point that in classrooms saturated with technology there is actually more socialization and that the technology often contributes to greater interaction among students and among students and instructors.

The Age of Spiritual Machines

When Computers Exceed Human Intelligence
Author: Ray Kurzweil
Publisher: Penguin
ISBN: 9781101077887
Category: Computers
Page: 400
View: 5374

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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.

Afro-European Conference for Industrial Advancement

Proceedings of the First International Afro-European Conference for Industrial Advancement AECIA 2014
Author: Ajith Abraham,Pavel Krömer,Vaclav Snasel
Publisher: Springer
ISBN: 3319135724
Category: Computers
Page: 384
View: 1992

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This volume contains accepted papers presented at AECIA2014, the First International Afro-European Conference for Industrial Advancement. The aim of AECIA was to bring together the foremost experts as well as excellent young researchers from Africa, Europe, and the rest of the world to disseminate latest results from various fields of engineering, information, and communication technologies. The first edition of AECIA was organized jointly by Addis Ababa Institute of Technology, Addis Ababa University, and VSB - Technical University of Ostrava, Czech Republic and took place in Ethiopia's capital, Addis Ababa.

Unobstructed Shortest Paths in Polyhedral Environments

Author: Varol Akman
Publisher: Springer Science & Business Media
ISBN: 9783540176299
Category: Computers
Page: 106
View: 3858

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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.

Changing Minds

Computers, Learning, and Literacy
Author: Andrea A. DiSessa
Publisher: MIT Press
ISBN: 9780262541329
Category: Computers
Page: 271
View: 2149

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How computer technology can transform science education for children.


Author: N.A
Publisher: N.A
Category: Computerized typesetting
Page: N.A
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Perspective design

advanced graphic and mathematical approaches
Author: John H. Mauldin
Publisher: Van Nostrand Reinhold Company
Category: Architecture
Page: 222
View: 2691

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