Search Results for "the-geometric-supposer"

The Geometric Supposer

The Geometric Supposer

What Is It A Case Of?

  • Author: Judah L. Schwartz,Michal Yerushalmy,Beth Wilson
  • Publisher: Routledge
  • ISBN: 1134758456
  • Category: Education
  • Page: 272
  • View: 2713
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This volume is a case study of education reform and innovation using technology that examines the issue from a wide variety of perspectives. It brings together the views and experiences of software designers, curriculum writers, teachers and students, researchers and administrators. Thus, it stands in contrast to other analyses of innovation that tend to look through the particular prisms of research, classroom practice, or software design. The Geometric Supposer encourages a belief in a better tomorrow for schools. On its surface, the Geometric Supposer provides the means for radically altering the way in which geometry is taught and the quality of learning that can be achieved. At a deeper level, however, it suggests a powerful metaphor for improving education that can be played out in many different instructional contexts.

Intelligent Learning Environments: The Case of Geometry

Intelligent Learning Environments: The Case of Geometry

  • Author: Jean-Marie Laborde
  • Publisher: Springer Science & Business Media
  • ISBN: 3642609279
  • Category: Computers
  • Page: 275
  • View: 3303
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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

  • Author: Richard Lehrer,Daniel Chazan
  • Publisher: Routledge
  • ISBN: 1136490582
  • Category: Education
  • Page: 518
  • View: 4578
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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.

Thinking

Thinking

The Second International Conference

  • Author: D. N. Perkins,J. Lochhead,J. C. Bishop
  • Publisher: Routledge
  • ISBN: 1317767268
  • Category: Education
  • Page: 552
  • View: 4145
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First published in 1987. Routledge is an imprint of Taylor & Francis, an informa company.

Geometry Turned On

Geometry Turned On

Dynamic Software in Learning, Teaching, and Research

  • Author: James King,Doris Schattschneider
  • Publisher: Cambridge University Press
  • ISBN: 9780883850992
  • Category: Mathematics
  • Page: 206
  • View: 6989
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Articles about the uses of active, exploratory geometry carried out with interactive computer software.

Software Goes to School

Software Goes to School

Teaching for Understanding with New Technologies

  • Author: David N. Perkins
  • Publisher: Oxford University Press on Demand
  • ISBN: 0195115775
  • Category: Psychology
  • Page: 288
  • View: 3099
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Software Goes to School brings together leading experts to offer an in-depth examination of how computer technology can play an invaluable part in educational efforts through its unique capacities to support the development of students' understanding of difficult concepts.

Getting from Arithmetic to Algebra

Getting from Arithmetic to Algebra

Balanced Assessments for the Transition

  • Author: Judah L. Schwartz
  • Publisher: Teachers College Press
  • ISBN: 0807753203
  • Category: Education
  • Page: 158
  • View: 6956
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Two experienced educators present a fresh approach to mathematics learning in the middle grades with the transition from arithmetic to algebra. The authors provide a collection of balanced, multi-dimensional assessment tasks designed to evaluate students' ability to work with mathematical objects and perform mathematical actions. --from publisher description

Encyclopedia of Microcomputers

Encyclopedia of Microcomputers

Volume 18 - Teaching Critical Thinking and Problem Solving to Truth-Functional Logic

  • Author: Allen Kent,James G. Williams
  • Publisher: CRC Press
  • ISBN: 9780824727161
  • Category: Computers
  • Page: 384
  • View: 9799
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Teaching Critical Thinking and Problem Solving to Truth-Functional Logic

Mathematics for Elementary Teachers

Mathematics for Elementary Teachers

A Contemporary Approach

  • Author: Gary L. Musser,William F. Burger
  • Publisher: MacMillan Publishing Company
  • ISBN: N.A
  • Category: Mathematics
  • Page: 874
  • View: 8432
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All the essential mathematics teachers need for teaching at the elementary and middle school levels! This best seller features rich problem-solving strategies, relevant topics, and extensive opportunities for hands-on experience.