Calculus Of Ideas A A Mathematical Study Of Human Thought
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A Calculus Of Ideas
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Author : Ulf Grenander
language : en
Publisher: World Scientific
Release Date : 2012
A Calculus Of Ideas written by Ulf Grenander and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Computers categories.
This monograph reports a thought experiment with a mathematical structure intended to illustrate the workings of a mind. It presents a mathematical theory of human thought based on pattern theory with a graph-based approach to thinking. The method illustrated and produced by extensive computer simulations is related to neural networks. Based mainly on introspection, it is speculative rather than empirical such that it differs radically in attitude from the conventional wisdom of current cognitive science.
The Edinburgh Review
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Author :
language : en
Publisher:
Release Date : 1836
The Edinburgh Review written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1836 with Scotland categories.
Geographical Thought
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Author : Lalita Rana
language : en
Publisher: Concept Publishing Company
Release Date : 2014-01-01
Geographical Thought written by Lalita Rana and has been published by Concept Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-01 with Science categories.
Geographical thought at any point in time is a manifestation of the prevailing viewpoints and methodological approaches in vogue. The development of geography has a history of evolution of over 2000 years. The discipline has been crafted over time to incorporate ideas from various schools of thought and several other disciplines from ancient to modern times. The existing methodology and the subject matter of Geography is a reflection of this assemblage and evolution. The nature of development remained more philosophical up to modern period. The First edition of this book, published in 2008, was an attempt towards compilation of relevant study material on evolution of Geographic thought in a systematic way up to the modern period. The book has been revised with the addition of two elaborated sections, i.e. one each on the Classical and the Contemporary tradition in geography. However, the major thrust of present book is on the nature of geographic developments in its contemoporary phase. More recently, the anthropocentricism and a concern about methodology are more evident in the development of discipline.
Computationalism
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Author : Matthias Scheutz
language : en
Publisher: MIT Press
Release Date : 2002
Computationalism written by Matthias Scheutz and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Computers categories.
A new computationalist view of the mind that takes into account real-world issues of embodiment, interaction, physical implementation, and semantics.
The Number Sense
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Author : Stanislas Dehaene
language : en
Publisher: OUP USA
Release Date : 2011-04-29
The Number Sense written by Stanislas Dehaene and has been published by OUP USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-29 with Mathematics categories.
"Our understanding of how the human brain performs mathematical calculations is far from complete. In The Number Sense, Stanislas Dehaene offers readers an enlightening exploration of the mathematical mind. Using research showing that human infants have a rudimentary number sense, Dehaene suggests that this sense is as basic as our perception of color, and that it is wired into the brain. But how then did we leap from this basic number ability to trigonometry, calculus, and beyond? Dehaene shows that it was the invention of symbolic systems of numerals that started us on the climb to higher mathematics. Tracing the history of numbers, we learn that in early times, people indicated numbers by pointing to part of their bodies, and how Roman numerals were replaced by modern numbers. On the way, we also discover many fascinating facts: for example, because Chinese names for numbers are short, Chinese people can remember up to nine or ten digits at a time, while English-speaking people can only remember seven. A fascinating look at the crossroads where numbers and neurons intersect, The Number Sense offers an intriguing tour of how the structure of the brain shapes our mathematical abilities, and how math can open up a window on the human mind"-- Provided by publisher.
Handbook Of International Research In Mathematics Education
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Author : Lyn D. English
language : en
Publisher: Routledge
Release Date : 2002-03
Handbook Of International Research In Mathematics Education written by Lyn D. English and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-03 with Education categories.
This state-of-the-art Handbook brings together important mathematics education research that makes a difference in both theory and practice--research that: anticipates problems and needed knowledge before they become impediments to progress; interprets future-oriented problems into researchable issues; presents the implications of research and theory development in forms that are useful to practitioners and policymakers; and facilitates the development of research communities to focus on neglected priorities or strategic opportunities. The volume represents a genuine attempt by contributors from around the world to advance the discipline, rather than simply review what has been done and what exists. The Handbook was developed in response to a number of major global catalysts for change, including the impact of national and international mathematics comparative assessment studies; the social, cultural, economic, and political influences on mathematics education and research; the influence of progressively sophisticated and available technology; and the increasing globalization of mathematics education and research. From these catalysts have emerged specific priority themes and issues for mathematics education research in the 21st century. Three key themes were identified for attention in this volume: life-long democratic access to powerful mathematical ideas; advances in research methodologies; and influences of advanced technologies. Each of these themes is examined in terms of learners, teachers, and learning contexts, with theory development as an important component of all these aspects. Dynamic and forward looking, the Handbook of International Research in Mathematics Education is distinguished by its focus on new and emerging theoretical models, perspectives, and research methodologies; its uniformly high standard of scholarship; and its emphasis on the international nature of mathematics education research. It is an essential volume for all researchers, professionals, and students interested in mathematics education research in particular and, more generally, in international developments and future directions in the broad field of educational research.
Second Handbook Of Research On Mathematics Teaching And Learning
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Author : Frank K. Lester
language : en
Publisher: IAP
Release Date : 2007-02-01
Second Handbook Of Research On Mathematics Teaching And Learning written by Frank K. Lester and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-02-01 with Education categories.
The audience remains much the same as for the 1992 Handbook, namely, mathematics education researchers and other scholars conducting work in mathematics education. This group includes college and university faculty, graduate students, investigators in research and development centers, and staff members at federal, state, and local agencies that conduct and use research within the discipline of mathematics. The intent of the authors of this volume is to provide useful perspectives as well as pertinent information for conducting investigations that are informed by previous work. The Handbook should also be a useful textbook for graduate research seminars. In addition to the audience mentioned above, the present Handbook contains chapters that should be relevant to four other groups: teacher educators, curriculum developers, state and national policy makers, and test developers and others involved with assessment. Taken as a whole, the chapters reflects the mathematics education research community's willingness to accept the challenge of helping the public understand what mathematics education research is all about and what the relevance of their research fi ndings might be for those outside their immediate community.
Elements Of The History Of Mathematics
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Author : N. Bourbaki
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Elements Of The History Of Mathematics written by N. Bourbaki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
Each volume of Nicolas Bourbakis well-known work, The Elements of Mathematics, contains a section or chapter devoted to the history of the subject. This book collects together those historical segments with an emphasis on the emergence, development, and interaction of the leading ideas of the mathematical theories presented in the Elements. In particular, the book provides a highly readable account of the evolution of algebra, geometry, infinitesimal calculus, and of the concepts of number and structure, from the Babylonian era through to the 20th century.
Advanced Mathematical Thinking
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Author : David Tall
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-11
Advanced Mathematical Thinking written by David Tall and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-11 with Education categories.
Advanced Mathematical Thinking has played a central role in the development of human civilization for over two millennia. Yet in all that time the serious study of the nature of advanced mathematical thinking – what it is, how it functions in the minds of expert mathematicians, how it can be encouraged and improved in the developing minds of students – has been limited to the reflections of a few significant individuals scattered throughout the history of mathematics. In the twentieth century the theory of mathematical education during the compulsory years of schooling to age 16 has developed its own body of empirical research, theory and practice. But the extensions of such theories to more advanced levels have only occurred in the last few years. In 1976 The International Group for the Psychology of Mathematics (known as PME) was formed and has met annually at different venues round the world to share research ideas. In 1985 a Working Group of PME was formed to focus on Advanced Mathematical Thinking with a major aim of producing this volume. The text begins with an introductory chapter on the psychology of advanced mathema- cal thinking, with the remaining chapters grouped under three headings: • the nature of advanced mathematical thinking, • cognitive theory, and • reviews of the progress of cognitive research into different areas of advanced mathematics.
Science
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Author :
language : en
Publisher:
Release Date : 1960
Science written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with categories.