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: 1975

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.

Designing Learning Environments for Developing Understanding of Geometry and Space

Author: Richard Lehrer,Daniel Chazan

Publisher: Routledge

ISBN: 1136490582

Category: Education

Page: 518

View: 4679

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.

Research on e-Learning and ICT in Education

Author: Athanassios Jimoyiannis

Publisher: Springer Science & Business Media

ISBN: 9781461410836

Category: Education

Page: 316

View: 7567

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: 3394

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: 9208

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.

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: 9656

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.

Unobstructed Shortest Paths in Polyhedral Environments

Author: Varol Akman

Publisher: Springer Science & Business Media

ISBN: 9783540176299

Category: Computers

Page: 106

View: 4510

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: 8190

How computer technology can transform science education for children.


Children, Computers, And Powerful Ideas

Author: Seymour A. Papert

Publisher: Basic Books

ISBN: 9780465046744

Category: Education

Page: 252

View: 577

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.


Author: N.A

Publisher: N.A


Category: Computerized typesetting

Page: N.A

View: 8315


Perspective design

advanced graphic and mathematical approaches

Author: John H. Mauldin

Publisher: Van Nostrand Reinhold Company


Category: Architecture

Page: 222

View: 7103


The Computer and the Child

A Montessori Approach

Author: Peter G. Gebhardt-Seele

Publisher: Computer Science Press, Incorporated


Category: Computer graphics

Page: 250

View: 3452


Educational Computing

Learning with Tomorrow's Technologies

Author: Cleborne D. Maddux,Dee LaMont Johnson,Jerry Willis

Publisher: Allyn & Bacon

ISBN: 9780205165896

Category: Computer-assisted instruction

Page: 351

View: 8665

Focusing on general concepts and the theory and research on teaching, learning and technology, this text is aimed at those who already have basic computing skills. It is geared to answering the question of what a teacher would do differently if he or she had computers in the classroom.