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Author: Judah L. Schwartz
Publisher: Routledge
ISBN: 1134758383
Category : Education
Languages : en
Pages : 267
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Book Description
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.
Author: Judah L. Schwartz
Publisher: Routledge
ISBN: 1134758383
Category : Education
Languages : en
Pages : 267
Get Book Here
Book Description
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.
Author: D. N. Perkins
Publisher: Routledge
ISBN: 1317767268
Category : Education
Languages : en
Pages : 360
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Book Description
First published in 1987. Routledge is an imprint of Taylor & Francis, an informa company.
Author: Jean-Marie Laborde
Publisher: Springer Science & Business Media
ISBN: 3642609279
Category : Computers
Languages : en
Pages : 285
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Book Description
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).
Author: Alan H. Schoenfeld
Publisher: Routledge
ISBN: 113544093X
Category : Education
Languages : en
Pages : 303
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Book Description
In the early 1980s there was virtually no serious communication among the various groups that contribute to mathematics education -- mathematicians, mathematics educators, classroom teachers, and cognitive scientists. Members of these groups came from different traditions, had different perspectives, and rarely gathered in the same place to discuss issues of common interest. Part of the problem was that there was no common ground for the discussions -- given the disparate traditions and perspectives. As one way of addressing this problem, the Sloan Foundation funded two conferences in the mid-1980s, bringing together members of the different communities in a ground clearing effort, designed to establish a base for communication. In those conferences, interdisciplinary teams reviewed major topic areas and put together distillations of what was known about them.* A more recent conference -- upon which this volume is based -- offered a forum in which various people involved in education reform would present their work, and members of the broad communities gathered would comment on it. The focus was primarily on college mathematics, informed by developments in K-12 mathematics. The main issues of the conference were mathematical thinking and problem solving.
Author: David N. Perkins
Publisher: Routledge
ISBN: 1317770420
Category : Education
Languages : en
Pages : 264
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Book Description
First published in 1986. We all play the roles of teacher or learner many times in life, in school and home, on the job and even at play. How can we strengthen those roles, striving for deep understanding and sound thinking? Knowledge As Design demonstrates the strong but neglected unity between learning and critical and creative thinking. Author David Perkins discloses how the concept of design opens a doorway into a deeper exploration of any topic, academic or every day. Knowledge As Design challenges the concept of knowledge as information. Drawing from current philosophy and cognitive science, the book shows how learners can attain a new level of insight when learning highlights the constructed and constructive character of knowledge. Any individual involved in formal or informal learning or teaching can benefit from the general outlook and specific principles laid out in this book. It offers a uniquely intelligent philosophy and psychology of understanding and critical and creative thinking.
Author: National Research Council
Publisher: National Academies Press
ISBN: 0309041872
Category : Education
Languages : en
Pages : 76
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Book Description
The United States must restructure mathematics educationâ€"both what is learned and the way it is taughtâ€"if children are to develop the mathematical knowledge and skills they will need to be personally and professionally competent in the twenty-first century. Joining the recent reports that have opened a national dialogue on these issues, Reshaping School Mathematics focuses discussion on essential ideas that transcend details of current curricula or assessment results. It examines changing perspectives on the role of mathematics in society and changing practice in the use of technologyâ€"particularly calculators and computersâ€"in mathematics education.
Author: Richard Lehrer
Publisher: Routledge
ISBN: 1136490582
Category : Education
Languages : en
Pages : 520
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Book Description
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.
Author: Carla Hunt
Publisher: Routledge
ISBN: 1317920686
Category : Education
Languages : en
Pages : 237
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Book Description
Provides detailed instructional strategies, sample lesson plans, and sample assessments so that mathematics teachers can make the best use of the additional time.
Author:
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 824
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Book Description
Author: Howard Gardner
Publisher: Basic Books (AZ)
ISBN: 0465024386
Category : Education
Languages : en
Pages : 354
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Book Description
"I like to invoke the image of figure and ground. In any scene, certain elements stand out as figures, as dominant foci, against a less prominent background, which (ideally) supports the central figure. At present, test scores and rankings have become figures, so dominant that they virtually occlude everything else. In my preferred portrait of education, a well-schooled mind becomes the central figure--a mind that truly understands disciplinary ways of thinking and one that also encourages respectful and ethical behavior. All the rest--including the instruments of accountability should be in the backgroud, providing support for that central, powerful image. Why the current ideal of school focuses so much on a certain view of knowledge, transmitted in a certain way, and documented in a certain way, is a question for historians and policy makers: That it has taken this turn is a source of regret to those of us who harbor a different view of knowledge and education." -- From the introduction by the author (p. xxviii).
