Intelligent Learning Environments: The Case of Geometry

Intelligent Learning Environments: The Case of Geometry PDF

Author: Jean-Marie Laborde

Publisher: Springer Science & Business Media

Published: 1996

Total Pages: 296

ISBN-13: 9783540568070

DOWNLOAD EBOOK →

Proceedings originating from the NATO Advanced Research Workshop on Intelligent Learning Environments: the Case of Geometry, held in Grenoble, France, November 13-16, 1989

Intelligent Learning Environments: The Case of Geometry

Intelligent Learning Environments: The Case of Geometry PDF

Author: Jean-Marie Laborde

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 285

ISBN-13: 3642609279

DOWNLOAD EBOOK →

This book is a thoroughly revised result, updated to mid-1995, of the NATO Advanced Research Workshop on "Intelligent Learning Environments: the case of geometry", held in Grenoble, France, November 13-16, 1989. The main aim of the workshop was to foster exchanges among researchers who were concerned with the design of intelligent learning environments for geometry. The problem of student modelling was chosen as a central theme of the workshop, insofar as geometry cannot be reduced to procedural knowledge and because the significance of its complexity makes it of interest for intelligent tutoring system (ITS) development. The workshop centred around the following themes: modelling the knowledge domain, modelling student knowledge, design ing "didactic interaction", and learner control. This book contains revised versions of the papers presented at the workshop. All of the chapters that follow have been written by participants at the workshop. Each formed the basis for a scheduled presentation and discussion. Many are suggestive of research directions that will be carried out in the future. There are four main issues running through the papers presented in this book: • knowledge about geometry is not knowledge about the real world, and materialization of geometrical objects implies a reification of geometry which is amplified in the case of its implementation in a computer, since objects can be manipulated directly and relations are the results of actions (Laborde, Schumann). This aspect is well exemplified by research projects focusing on the design of geometric microworlds (Guin, Laborde).

Designing Learning Environments for Developing Understanding of Geometry and Space

Designing Learning Environments for Developing Understanding of Geometry and Space PDF

Author: Richard Lehrer

Publisher: Routledge

Published: 2012-11-12

Total Pages: 520

ISBN-13: 1136490582

DOWNLOAD EBOOK →

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.

International Handbook of Mathematics Education

International Handbook of Mathematics Education PDF

Author: Alan Bishop

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 1336

ISBN-13: 9400914652

DOWNLOAD EBOOK →

ALAN J. BISHOP Monash University, Clayton, Victoria, Australia RATIONALE Mathematics Education is becoming a well-documented field with many books, journals and international conferences focusing on a variety of aspects relating to theory, research and practice. That documentation also reflects the fact that the field has expanded enormously in the last twenty years. At the 8th International Congress on Mathematics Education (ICME) in Seville, Spain, for example, there were 26 specialist Working Groups and 26 special ist Topic Groups, as well as a host of other group activities. In 1950 the 'Commission Internationale pour I 'Etude et l' Amelioration de l'Enseignement des Mathematiques' (CIEAEM) was formed and twenty years ago another active group, the 'International Group for the Psychology of Mathematics Education' (PME), began at the third ICME at Karlsruhe in 1976. Since then several other specialist groups have been formed, and are also active through regular conferences and publications, as documented in Edward Jacobsen's Chapter 34 in this volume.

Handbook of Artificial Intelligence in Education

Handbook of Artificial Intelligence in Education PDF

Author: Benedict du Boulay

Publisher: Edward Elgar Publishing

Published: 2023-01-20

Total Pages: 697

ISBN-13: 1800375417

DOWNLOAD EBOOK →

Gathering insightful and stimulating contributions from leading global experts in Artificial Intelligence in Education (AIED), this comprehensive Handbook traces the development of AIED from its early foundations in the 1970s to the present day.

Semiotics in Mathematics Education

Semiotics in Mathematics Education PDF

Author:

Publisher: BRILL

Published: 2008-01-01

Total Pages: 283

ISBN-13: 9087905971

DOWNLOAD EBOOK →

Current interest in semiotics is undoubtedly related to our increasing awareness that our manners of thinking and acting in our world are deeply indebted to a variety of signs and sign systems (language included) that surround us.

Learning from Computers: Mathematics Education and Technology

Learning from Computers: Mathematics Education and Technology PDF

Author: Christine Keitel-Kreidt

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 351

ISBN-13: 3642785425

DOWNLOAD EBOOK →

The NATO Advanced Research Workshop on Mathematics Education and Technology was held in Villard-de-Lans, France, between May 6 and 11, 1993. Organised on the initiative of the BaCoMET (Basic Components of Mathematics Education for Teachers) group (Christiansen, Howson and Otte 1986; Bishop, Mellin-Olsen and van Dormolen 1991), the workshop formed part of a larger NATO programme on Advanced Educational Technology. Some workshop members had already participated in earlier events in this series and were able to contribute insights from them: similarly some members were to take part in later events. The problematic for the workshop drew attention to important speculative developments in the applications of advanced information technology in mathematics education over the last decade, notably intelligent tutoring, geometric construction, symbolic algebra and statistical analysis. Over the same period, more elementary forms of information technology had started to have a significant influence on teaching approaches and curriculum content: notably arithmetic and graphic calculators; standard computer tools, such as spreadsheets and databases; and computer-assisted learning packages and computer microworlds specially designed for educational purposes.

Multimedia Interface Design in Education

Multimedia Interface Design in Education PDF

Author: Alistair D.N. Edwards

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 232

ISBN-13: 3642581269

DOWNLOAD EBOOK →

What the book is about This book is about the theory and practice of the use of multimedia, multimodal interfaces for leaming. Yet it is not about technology as such, at least in the sense that the authors do not subscribe to the idea that one should do something just because it is technologically possible. 'Multimedia' has been adopted in some commercial quarters to mean little more than a computer with some form of audio ar (more usually) video attachment. This is a trend which ought to be resisted, as exemplified by the material in this book. Rather than merely using a new technology 'because it is there', there is a need to examine how people leam and eommunicate, and to study diverse ways in which computers ean harness text, sounds, speech, images, moving pietures, gestures, touch, etc. , to promote effective human leaming. We need to identify which media, in whieh combinations, using what mappings of domain to representation, are appropriate far which educational purposes . . The word 'multimodal ' in the title underlies this perspective. The intention is to focus attention less on the technology and more on how to strueture different kinds of information via different sensory channels in order to yield the best possible quality of communication and educational interaction. (Though the reader should refer to Chapter 1 for a discussion of the use of the word 'multimodal' . ) Historically there was little problem.

Control Technology in Elementary Education

Control Technology in Elementary Education PDF

Author: Brigitte Denis

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 305

ISBN-13: 3642580262

DOWNLOAD EBOOK →

Control technology is a new learning environment which offers the opportunity to take up the economic and educational challenge of enabling people to adapt to new technologies and use them to solve problems. Giving young children (and also adults) easy access to control technology introduces them to a learning environment where they can build their knowledge across a range of topics. As they build and program their own automata and robots, they learn to solve problems, work incollaboration, and be creative. They also learn more about science, electronics, physics, computer literacy, computer assisted manufacturing, and so on. This book, based on a NATO Advanced Research Workshop in the Special Programme on Advanced Educational Technology, presents a cross-curricular approach to learning about control technology. The recommended methodology is active learning, where the teacher's role is to stimulate the learner to build knowledge by providing him/her with appropriate materials (hardware and software) and suggestions to develop the target skills. The results are encouraging, although more tools are needed to help the learner to generalize from his/her concrete experiment in control technology as well as to evaluate its effect on the target skills. The contributions not only discuss epistemological controversies linked to such learning environments as control technology, but also report on the state of the art and new developments in the field and present some stimulating ideas.