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Author: Hans Freudenthal Publisher: Springer Science & Business Media ISBN: 030647235X Category : Education Languages : en Pages : 604
Book Description
The launch ofa new book series is always a challenging eventn ot only for the Editorial Board and the Publisher, but also, and more particularly, for the first author. Both the Editorial Board and the Publisher are delightedt hat the first author in this series isw ell able to meet the challenge. Professor Freudenthal needs no introduction toanyone in the Mathematics Education field and it is particularly fitting that his book should be the first in this new series because it was in 1968 that he, and Reidel, produced the first issue oft he journal Edu cational Studies in Mathematics. Breakingfresh ground is therefore nothing new to Professor Freudenthal and this book illustrates well his pleasure at such a task. To be strictly correct the ‘ground’ which he has broken here is not new, but aswith Mathematics as an Educational Task and Weeding and Sowing, it is rather the novelty oft he manner in which he has carried out his analysis which provides us with so many fresh perspectives. It is our intention that this new book series should provide those who work int he emerging discipline of mathematicseducation with an essential resource, and at a time of considerable concern about the whole mathematics cu rriculum this book represents just such resource. ALAN J. BISHOP Managing Editor vii A LOOK BACKWARD AND A LOOK FORWARD Men die, systems last.
Author: Hans Freudenthal Publisher: Springer Science & Business Media ISBN: 030647235X Category : Education Languages : en Pages : 604
Book Description
The launch ofa new book series is always a challenging eventn ot only for the Editorial Board and the Publisher, but also, and more particularly, for the first author. Both the Editorial Board and the Publisher are delightedt hat the first author in this series isw ell able to meet the challenge. Professor Freudenthal needs no introduction toanyone in the Mathematics Education field and it is particularly fitting that his book should be the first in this new series because it was in 1968 that he, and Reidel, produced the first issue oft he journal Edu cational Studies in Mathematics. Breakingfresh ground is therefore nothing new to Professor Freudenthal and this book illustrates well his pleasure at such a task. To be strictly correct the ‘ground’ which he has broken here is not new, but aswith Mathematics as an Educational Task and Weeding and Sowing, it is rather the novelty oft he manner in which he has carried out his analysis which provides us with so many fresh perspectives. It is our intention that this new book series should provide those who work int he emerging discipline of mathematicseducation with an essential resource, and at a time of considerable concern about the whole mathematics cu rriculum this book represents just such resource. ALAN J. BISHOP Managing Editor vii A LOOK BACKWARD AND A LOOK FORWARD Men die, systems last.
Author: Celia Hoyles Publisher: Springer Science & Business Media ISBN: 1441901469 Category : Education Languages : en Pages : 489
Book Description
Mathematics Education and Technology-Rethinking the Terrain revisits the important 1985 ICMI Study on the influence of computers and informatics on mathematics and its teaching. The focus of this book, resulting from the seventeenth Study led by ICMI, is the use of digital technologies in mathematics teaching and learning in countries across the world. Specifically, it focuses on cultural diversity and how this diversity impinges on the use of digital technologies in mathematics teaching and learning. Within this focus, themes such as mathematics and mathematical practices; learning and assessing mathematics with and through digital technologies; teachers and teaching; design of learning environments and curricula; implementation of curricula and classroom practice; access, equity and socio-cultural issues; and connectivity and virtual networks for learning, serve to organize the study and bring it coherence. Providing a state-of-the-art view of the domain with regards to research, innovating practices and technological development, Mathematics Education and Technology-Rethinking the Terrain is of interest to researchers and all those interested in the role that digital technology plays in mathematics education.
Author: David Mumford Publisher: Cambridge University Press ISBN: 9780521352536 Category : Computers Languages : en Pages : 422
Book Description
Felix Klein, one of the great nineteenth-century geometers, rediscovered in mathematics an idea from Eastern philosophy: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe was mirrored in each pearl. Klein studied infinitely repeated reflections and was led to forms with multiple co-existing symmetries. For a century these ideas barely existed outside the imagination of mathematicians. However in the 1980s the authors embarked on the first computer exploration of Klein's vision, and in doing so found many further extraordinary images. Join the authors on the path from basic mathematical ideas to the simple algorithms that create the delicate fractal filigrees, most of which have never appeared in print before. Beginners can follow the step-by-step instructions for writing programs that generate the images. Others can see how the images relate to ideas at the forefront of research.
Author: Andrea Peter-Koop Publisher: Springer Science & Business Media ISBN: 9401710724 Category : Education Languages : en Pages : 439
Book Description
This book systematically explores and reflects on a variety of issues related to collaborative mathematics teacher education practice and research – such as classroom coaching, mentoring or co-learning agreements - highlighting the evolution and implications of collaborative enterprises in different cultural settings. It is relevant to educational researchers, research students and practitioners.
Author: Andrew Tatarsky Publisher: Jason Aronson ISBN: 1461628709 Category : Psychology Languages : en Pages : 392
Book Description
This ground-breaking volume provides readers with both an overview of harm reduction therapy and a series of ten case studies, treated by different therapists, that vividly illustrate this treatment approach with a wide variety of clients. Harm reduction is a framework for helping drug and alcohol users who cannot or will not stop completely—the majority of users—reduce the harmful consequences of use. Harm reduction accepts that abstinence may be the best outcome for many but relaxes the emphasis on abstinence as the only acceptable goal and criterion of success. Instead, smaller incremental changes in the direction of reduced harmfulness of drug use are accepted. This book will show how these simple changes in emphasis and expectation have dramatic implications for improving the effectiveness of psychotherapy in many ways. From the Foreword by Alan Marlatt, Ph.D.: “This ground-breaking volume provides readers with both an overview of harm reduction therapy and a series of ten case studies, treated by different therapists, that vividly illustrate this treatment approach with a wide variety of clients. In his introduction, Andrew Tatarsky describes harm reduction as a new paradigm for treating drug and alcohol problems. Some would say that harm reduction embraces a paradigm shift in addiction treatment, as it has moved the field beyond the traditional abstinence-only focus typically associated with the disease model and the ideology of the twelve-step approach. Others may conclude that the move toward harm reduction represents an integration of what Dr. Tatarsky describes as the “basic principles of good clinical practice” into the treatment of addictive behaviors. “Changing addiction behavior is often a complex and complicated process for both client and therapist. What seems to work best is the development of a strong therapeutic alliance, the right fit between the client and treatment provider. The role of the harm reduction therapist is closer to that of a guide, someone who can provide support an
Author: Thomas P. Carpenter Publisher: Routledge ISBN: 1136476644 Category : Education Languages : en Pages : 383
Book Description
Until recently there had been relatively little integration of programs of research on teaching, learning, curriculum, and assessment. However, in the last few years it has become increasingly apparent that a more unified program of research is needed to acquire an understanding of teaching and learning in schools that will inform curriculum development and assessment. The chapters in this volume represent a first step toward an integration of research paradigms in one clearly specified mathematical domain. Integrating a number of different research perspectives is a complex task, and ways must be found to reduce the complexity without sacrificing the integration. The research discussed in this volume is tied together because it deals with a common content strand. During the last ten years specific content domains have served as focal points for research on the development of mathematical concepts in children. The areas of addition and subtraction, algebra, rational numbers, and geometry are notable examples. Whether a similar organizational structure will prevail for programs of research that integrate the study of teaching, learning, curriculum, and assessment is an open question. The perspectives presented in this volume illustrate the potential for adopting this perspective.
Author: James R. Smart Publisher: Cengage Learning ISBN: Category : Mathematics Languages : en Pages : 488
Book Description
This comprehensive, best-selling text focuses on the study of many different geometries -- rather than a single geometry -- and is thoroughly modern in its approach. Each chapter is essentially a short course on one aspect of modern geometry, including finite geometries, the geometry of transformations, convexity, advanced Euclidian geometry, inversion, projective geometry, geometric aspects of topology, and non-Euclidean geometries. This edition reflects the recommendations of the COMAP proceedings on Geometry's Future, the NCTM standards, and the Professional Standards for Teaching Mathematics. References to a new companion text, Active Geometry by David A. Thomas encourage students to explore the geometry of motion through the use of computer software. Using Active Geometry at the beginning of various sections allows professors to give students a somewhat more intuitive introduction using current technology before moving on to more abstract concepts and theorems.
Author: James Gleick Publisher: Vintage ISBN: 0307379574 Category : Science Languages : en Pages : 400
Book Description
From the bestselling author of the acclaimed Chaos and Genius comes a thoughtful and provocative exploration of the big ideas of the modern era: Information, communication, and information theory. Acclaimed science writer James Gleick presents an eye-opening vision of how our relationship to information has transformed the very nature of human consciousness. A fascinating intellectual journey through the history of communication and information, from the language of Africa’s talking drums to the invention of written alphabets; from the electronic transmission of code to the origins of information theory, into the new information age and the current deluge of news, tweets, images, and blogs. Along the way, Gleick profiles key innovators, including Charles Babbage, Ada Lovelace, Samuel Morse, and Claude Shannon, and reveals how our understanding of information is transforming not only how we look at the world, but how we live. A New York Times Notable Book A Los Angeles Times and Cleveland Plain Dealer Best Book of the Year Winner of the PEN/E. O. Wilson Literary Science Writing Award
Author: James P. Howard, II Publisher: CRC Press ISBN: 1351245570 Category : Mathematics Languages : en Pages : 439
Book Description
Online education has become a major component of higher education worldwide. In mathematics and statistics courses, there exists a number of challenges that are unique to the teaching and learning of mathematics and statistics in an online environment. These challenges are deeply connected to already existing difficulties related to math anxiety, conceptual understanding of mathematical ideas, communicating mathematically, and the appropriate use of technology. Teaching and Learning Mathematics Online bridges these issues by presenting meaningful and practical solutions for teaching mathematics and statistics online. It focuses on the problems observed by mathematics instructors currently working in the field who strive to hone their craft and share best practices with our professional community. The book provides a set of standard practices, improving the quality of online teaching and the learning of mathematics. Instructors will benefit from learning new techniques and approaches to delivering content. Features Based on the experiences of working educators in the field Assimilates the latest technology developments for interactive distance education Focuses on mathematical education for developing early mathematics courses
Author: Howard Gardner Publisher: Simon and Schuster ISBN: 1982176954 Category : Education Languages : en Pages : 288
Book Description
This brilliant and revolutionary theory of multiple intelligences reexamines the goals of education to support a more educated society for future generations. Howard Gardner’s concept of multiple intelligences has been hailed as perhaps the most profound insight into education since the work of Jerome Bruner, Jean Piaget, and even John Dewey. Here, in The Disciplined Mind, Garner pulls together the threads of his previous works and looks beyond such issues as charters, vouchers, unions, and affirmative action in order to explore the larger questions of what constitutes an educated person and how this can be achieved for all students. Gardner eloquently argues that the purpose of K–12 education should be to enhance students’ deep understanding of the truth (and falsity), beauty (and ugliness), and goodness (and evil) as defined by their various cultures. By exploring the theory of evolution, the music of Mozart, and the lessons of the Holocaust as a set of examples that illuminates the nature of truth, beauty, and morality, The Disciplined Mind envisions how younger generations will rise to the challenges of the future—while preserving the traditional goals of a “humane” education. Gardner’s ultimate goal is the creation of an educated generation that understands the physical, biological, and societal world in their own personal context as well as in a broader world view. But even as Gardner persuasively argues the merits of his approach, he recognizes the difficulty of developing one universal, ideal form of education. In an effort to reconcile conflicting educational viewpoints, he proposes the creation of six different educational pathways that, when taken together, can satisfy people’s concern for student learning and their widely divergent views about knowledge and understanding overall.
Author: Hans Freudenthal
Author: Hans Freudenthal
Author: Celia Hoyles
Author: David Mumford
Author: Andrea Peter-Koop
Author: Andrew Tatarsky
Author: Thomas P. Carpenter
Author: James R. Smart
Author: James Gleick
Author: James P. Howard, II
Author: Howard Gardner