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Author: James r Newman
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: James r Newman
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: James Roy Newman
Publisher: Courier Corporation
ISBN: 9780486411514
Category : Mathematics
Languages : en
Pages : 632
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Book Description
Presents 33 essays on such topics as statistics and the design of experiments, group theory, the mathematics of infinity, the mathematical way of thinking, the unreasonableness of mathematics, and mathematics as an art. A reprint of volume 3 of the four-volume edition originally published by Simon and Schuster in 1956. Annotation c. Book News, Inc., Portland, OR (booknews.com).
Author: Raymond Nickerson
Publisher: Taylor & Francis
ISBN: 1136945393
Category : Psychology
Languages : en
Pages : 597
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Book Description
The development of mathematical competence -- both by humans as a species over millennia and by individuals over their lifetimes -- is a fascinating aspect of human cognition. This book explores when and why the rudiments of mathematical capability first appeared among human beings, what its fundamental concepts are, and how and why it has grown into the richly branching complex of specialties that it is today. It discusses whether the ‘truths’ of mathematics are discoveries or inventions, and what prompts the emergence of concepts that appear to be descriptive of nothing in human experience. Also covered is the role of esthetics in mathematics: What exactly are mathematicians seeing when they describe a mathematical entity as ‘beautiful’? There is discussion of whether mathematical disability is distinguishable from a general cognitive deficit and whether the potential for mathematical reasoning is best developed through instruction. This volume is unique in the vast range of psychological questions it covers, as revealed in the work habits and products of numerous mathematicians. It provides fascinating reading for researchers and students with an interest in cognition in general and mathematical cognition in particular. Instructors of mathematics will also find the book’s insights illuminating.
Author: Murray J. Leaf
Publisher: Lexington Books
ISBN: 0739170295
Category : Social Science
Languages : en
Pages : 478
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Book Description
Human beings have two outstanding characteristics compared to all other species: the apparently enormous elaboration of our thought through language and symbolism and the elaboration of our forms of social organization. The view taken in Human Thought and Social Organization: Anthropology on a New Plane is that these are intimately interconnected. To understand this connection, the book compares the structure of the systems of thought that organizations are built upon with the organizational basis of human thinking as such. An experimental method is used, leading to a new science of the structure of human social organizations in two senses. First, it gives rise to a new kind of ethnology that has the combination of empirical solidity and formal analytical rigor associated with the “paradigmatic” sciences. Second, it makes evident that social organizations have distinctive properties and require distinctive explanations of a sort that cannot be reduced to the explanations drawn from, or grounded in, these other sciences. Human social organizations are created by people using systems of ideas with very specific logical properties. This book describes what these idea-systems are with an unbroken chain of analysis that begins with field elicitation, and continues by working out their most fundamental, logico-mathematical generative elements. This enables us to see precisely how these idea systems are used to generate organizations that give pattern to ongoing behavior. The book shows how organizations are objectified by community members through symbolic representations that provide them with shared conceptions of organizations, roles, or relations that they see each other as participating in. The case for this constructive process being pan-Homo sapiens is described, spanning all human communities from the Upper Paleolithic to today, and from the most seemingly primitive Australian tribes to modern-day America and India. While focusing primarily on kinship, Human Thought and Social Organization shows how the analysis applies with equal precision to other social areas ranging from farming to political factionalism.
Author: Carmen Batanero
Publisher: Springer
ISBN: 9463006249
Category : Education
Languages : en
Pages : 232
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Book Description
Statistics and probability are fascinating fields, tightly interwoven with the context of the problems which have to be modelled. The authors demonstrate how investigations and experiments provide promising teaching strategies to help high-school students acquire statistical and probabilistic literacy. In the first chapter the authors put into practice the following educational principles, reflecting their views of how these subjects should be taught: a focus on the most relevant ideas and postpone extensions to later stages; illustrating the complementary/dual nature of statistical and probabilistic reasoning; utilising the potential of technology and show its limits; and reflecting on the different levels of formalisation to meet the wide variety of students’ previous knowledge, abilities, and learning types. The remaining chapters deal with exploratory data analysis, modelling information by probabilities, exploring and modelling association, and with sampling and inference. Throughout the book, a modelling view of the concepts guides the presentation. In each chapter, the development of a cluster of fundamental ideas is centred around a statistical study or a real-world problem that leads to statistical questions requiring data in order to be answered. The concepts developed are designed to lead to meaningful solutions rather than remain abstract entities. For each cluster of ideas, the authors review the relevant research on misconceptions and synthesise the results of research in order to support teaching of statistics and probability in high school. What makes this book unique is its rich source of worked-through tasks and its focus on the interrelations between teaching and empirical research on understanding statistics and probability.
Author: J. Steven Reznick
Publisher: Cambridge University Press
ISBN: 1108233996
Category : Psychology
Languages : en
Pages : 221
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Book Description
Written by one of developmental science's foremost methodologists, The Developmental Scientist's Companion provides an engaging and accessible guide to the scientific techniques that have been devised to investigate human development. Adopting an original approach to what can be a dry yet essential topic, Reznick enlivens his coverage of key issues in developmental methodology - measuring psychological phenomena, assessing reliability and validity, experimental design, interviews and surveys, data collection and analysis and interpreting research results - with discussion of his own experiences of those various techniques, gained over a substantial research career. The Companion concludes with practical tips for improving the field and navigating a path to professional success. Reznick's 'behind-the-scenes' view of empirical research and career progression, told with wit, wisdom and insight, is essential reading for students and young researchers launching their careers in developmental science.
Author: Richard M. Lerner
Publisher: John Wiley & Sons
ISBN: 0470634359
Category : Psychology
Languages : en
Pages : 1624
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Book Description
In the past fifty years, scholars of human development have been moving from studying change in humans within sharply defined periods, to seeing many more of these phenomenon as more profitably studied over time and in relation to other processes. The Handbook of Life-Span Development, Volume 1: Cognition, Biology, and Methods presents the study of human development conducted by the best scholars in the 21st century. Social workers, counselors and public health workers will receive coverage of of the biological and cognitive aspects of human change across the lifespan.
Author: Joseph Dunne
Publisher: John Wiley & Sons
ISBN: 1405108940
Category : Education
Languages : en
Pages : 226
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Book Description
This volume explores the distinctiveness of teaching and learning as a human undertaking and the nature and scope of the philosophy of education. An investigation of the distinctiveness of teaching and learning as a human undertaking. Provides fresh thinking on the nature and scope of the philosophy of education. Draws on the original insights of an international group of experts in philosophy and education. Includes an interview on education with Alasdair MacIntyre, together with searching investigations of his views by other contributors.
Author: Robert M. Gray
Publisher: Cambridge University Press
ISBN: 1139456288
Category : Technology & Engineering
Languages : en
Pages : 479
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Book Description
This book describes the essential tools and techniques of statistical signal processing. At every stage theoretical ideas are linked to specific applications in communications and signal processing using a range of carefully chosen examples. The book begins with a development of basic probability, random objects, expectation, and second order moment theory followed by a wide variety of examples of the most popular random process models and their basic uses and properties. Specific applications to the analysis of random signals and systems for communicating, estimating, detecting, modulating, and other processing of signals are interspersed throughout the book. Hundreds of homework problems are included and the book is ideal for graduate students of electrical engineering and applied mathematics. It is also a useful reference for researchers in signal processing and communications.
Author: Sal P. Restivo
Publisher: Lehigh University Press
ISBN: 9780934223218
Category : Philosophy
Languages : en
Pages : 292
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Book Description
He has tried - in his career and, specifically, in this volume - to understand science without accepting the culture of science uncritically.
