The Intuitive Sources Of Probalistic Thinking In Children

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The Intuitive Sources of Probabilistic Thinking in Children

Author : H. Fischbein
Publisher : Springer Science & Business Media
ISBN 13 : 9401018588
Total Pages : 221 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis The Intuitive Sources of Probabilistic Thinking in Children by : H. Fischbein

Download or read book The Intuitive Sources of Probabilistic Thinking in Children written by H. Fischbein and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: About a year ago I promised my friend Fischbein a preface to his book of which I knew the French manuscript. Now with the printer's proofs under my eyes I like the book even better than I did then, because of, and influenced by, new experiences in the meantime, and fresh thoughts that crossed my mind. Have I been influenced by what I remembered from the manuscript? If so, it must have happened unconsciously. But of course, what struck me in this work a year ago, struck a responsive chord in my own mind. In the past, mathematics teaching theory has strongly been influenced by a view on mathematics as a heap of concepts, and on learning mathematics as concepts attainment. Mathematics teaching practice has been jeopardised by this theoretical approach, which in its most dangerous form expresses itself as a radical atomism. To concepts attainment Fischbein opposes acquisition of intuitions. In my own publications I avoided the word "intuition" because of the variety of its meanings across languages. For some time I have used the term "constitution of mathematical objects", which I think means the same as Fischbein's "acquisition of intuitions" - indeed as I view it, constituting a mental object precedes its conceptualising, and under this viewpoint I tried to observe mathematical activities of young children.

The Intuitive Sources of Probabilistic Thinking in Children

Author : H Fischbein
Publisher :
ISBN 13 : 9789401018593
Total Pages : 228 pages
Book Rating : 4.0/5 (185 download)

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Book Synopsis The Intuitive Sources of Probabilistic Thinking in Children by : H Fischbein

Download or read book The Intuitive Sources of Probabilistic Thinking in Children written by H Fischbein and published by . This book was released on 1980-11-30 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Probabilistic Thinking

Author : Egan J. Chernoff
Publisher : Springer Science & Business Media
ISBN 13 : 940077155X
Total Pages : 746 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Probabilistic Thinking by : Egan J. Chernoff

Download or read book Probabilistic Thinking written by Egan J. Chernoff and published by Springer Science & Business Media. This book was released on 2013-12-05 with total page 746 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a necessary, current and extensive analysis of probabilistic thinking from a number of mathematicians, mathematics educators, and psychologists. The work of 58 contributing authors, investigating probabilistic thinking across the globe, is encapsulated in 6 prefaces, 29 chapters and 6 commentaries. Ultimately, the four main perspectives presented in this volume (Mathematics and Philosophy, Psychology, Stochastics and Mathematics Education) are designed to represent probabilistic thinking in a greater context.

Intuition in Science and Mathematics

Author : Efraim Fischbein
Publisher : Springer Science & Business Media
ISBN 13 : 0306472376
Total Pages : 234 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Intuition in Science and Mathematics by : Efraim Fischbein

Download or read book Intuition in Science and Mathematics written by Efraim Fischbein and published by Springer Science & Business Media. This book was released on 2005-12-19 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: In writing the present book I have had in mind the following objectives: - To propose a theoretical, comprehensive view of the domain of intuition. - To identify and organize the experimental findings related to intuition scattered in a wide variety of research contexts. - To reveal the educational implications of the idea, developed for science and mathematics education. Most of the existing monographs in the field of intuition are mainly concerned with theoretical debates - definitions, philosophical attitudes, historical considerations. (See, especially the works of Wild (1938), of Bunge (1 962) and of Noddings and Shore (1 984).) A notable exception is the book by Westcott (1968), which combines theoretical analyses with the author’s own experimental studies. But, so far, no attempt has been made to identify systematically those findings, spread throughout the research literature, which could contribute to the deciphering of the mechanisms of intuition. Very often the relevant studies do not refer explicitly to intuition. Even when this term is used it occurs, usually, as a self-evident, common sense term.

Decision Making under Uncertainty

Author : R.W. Scholz
Publisher : Elsevier
ISBN 13 : 0080866700
Total Pages : 457 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Decision Making under Uncertainty by : R.W. Scholz

Download or read book Decision Making under Uncertainty written by R.W. Scholz and published by Elsevier. This book was released on 1983-11-01 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the revised papers of an international symposium on research on fallacies, biases, and the development of decision behavior under uncertainty. The papers are organized in five main sections.The Introduction outlines the conceptual framework and how three of the sections - Cognitive Decision Research, Social Interaction, and Development and Epistemology - are interrelated and also how new fields, such as research into developmental questions, can be productively integrated.In the fifth section Comments are collected, which evaluate the impact of the contributions on decision research itself, and also on cognitive psychology, social psychology, economic theory, ant the discipline of mathematics education.

Statistics in Early Childhood and Primary Education

Author : Aisling Leavy
Publisher : Springer
ISBN 13 : 9811310440
Total Pages : 326 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Statistics in Early Childhood and Primary Education by : Aisling Leavy

Download or read book Statistics in Early Childhood and Primary Education written by Aisling Leavy and published by Springer. This book was released on 2018-07-23 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This compilation focuses on the theory and conceptualisation of statistics and probability in the early years and the development of young children’s (ages 3-10) understanding of data and chance. It provides a comprehensive overview of cutting-edge international research on the development of young learners’ reasoning about data and chance in formal, informal, and non-formal educational contexts. The authors share insights into young children’s statistical and probabilistic reasoning and provide early childhood educators and researchers with a wealth of illustrative examples, suggestions, and practical strategies on how to address the challenges arising from the introduction of statistical and probabilistic concepts in pre-school and school curricula. This collection will inform practices in research and teaching by providing a detailed account of current best practices, challenges, and issues, and of future trends and directions in early statistical and probabilistic learning worldwide. Further, it will contribute to future research and theory building by addressing theoretical, epistemological, and methodological considerations regarding the design of probability and statistics learning environments for young children.

Handbook of Research on the Education of Young Children

Author : Olivia N. Saracho
Publisher : Routledge
ISBN 13 : 0429810237
Total Pages : 906 pages
Book Rating : 4.4/5 (298 download)

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Book Synopsis Handbook of Research on the Education of Young Children by : Olivia N. Saracho

Download or read book Handbook of Research on the Education of Young Children written by Olivia N. Saracho and published by Routledge. This book was released on 2019-10-30 with total page 906 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Research on the Education of Young Children is the essential reference on research on early childhood education throughout the world. This outstanding resource provides a comprehensive research overview of important contemporary issues as well as the information necessary to make knowledgeable judgments about these issues. Now in its fourth edition, this handbook features all new sections on social emotional learning, non-cognitive assessment, child development, early childhood education, content areas, teacher preparation, technology, multimedia, and English language learners. With thorough updates to chapters and references, this new edition remains the cutting-edge resource for making the field’s extensive knowledge base readily available and accessible to researchers and educators. It is a valuable resource for all of those who work and study in the field of early childhood education including researchers, educators, policy makers, librarians, and school administrators. This volume addresses critical, up-to-date research on several disciplines such as child development, early childhood education, psychology, curriculum, teacher preparation, policy, evaluation strategies, technology, and multimedia exposure.

The Assessment Challenge in Statistics Education

Author : Iddo Gal
Publisher :
ISBN 13 : 9784274901584
Total Pages : 300 pages
Book Rating : 4.9/5 (15 download)

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Book Synopsis The Assessment Challenge in Statistics Education by : Iddo Gal

Download or read book The Assessment Challenge in Statistics Education written by Iddo Gal and published by . This book was released on 1997 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses conceptual and pragmatic issues in the assessment of statistical knowledge and reasoning skills among students at the college and precollege levels, and the use of assessments to improve instruction. It is designed primarily for academic audiences involved in teaching statistics and mathematics, and in teacher education and training. The book is divided in four sections: (I) Assessment goals and frameworks, (2) Assessing conceptual understanding of statistical ideas, (3) Innovative models for classroom assessments, and (4) Assessing understanding of probability.

New Approaches in Reasoning Research

Author : Wim De Neys
Publisher : Psychology Press
ISBN 13 : 1134751680
Total Pages : 136 pages
Book Rating : 4.1/5 (347 download)

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Book Synopsis New Approaches in Reasoning Research by : Wim De Neys

Download or read book New Approaches in Reasoning Research written by Wim De Neys and published by Psychology Press. This book was released on 2013-11-20 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reasoning research has long been associated with paper and pencil tasks in which peoples’ reasoning skills are judged against established normative conventions. However, there has been a recent revolution in the range of techniques, empirical methods and paradigms used to examine reasoning behaviour. New Approaches in Reasoning Research brings to the fore these new pioneering research methods and empirical findings. Each chapter is written by a world-leading expert in the field and covers a variety of broad empirical techniques and new approaches to reasoning research. Maintaining a high level of integrity and rigor throughout, Editors De Neys and Osman have allowed the experts included here the space to think big about the general issues concerning their work, to point out potential implications and speculate on further developments. Such freedom can only help to stimulate discussion and spark creative thinking. The use of these new methods and paradigms are already generating a new understanding of how we reason, as such this book should appeal to researchers and students of Cognitive Psychology, Social Psychology, and Neuroscience along with Cognitive Scientists, and anyone interested in the latest developments in reasoning, rationality, bias, and thinking.

Chance Encounters: Probability in Education

Author : R. Kapadia
Publisher : Springer Science & Business Media
ISBN 13 : 9401135320
Total Pages : 324 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Chance Encounters: Probability in Education by : R. Kapadia

Download or read book Chance Encounters: Probability in Education written by R. Kapadia and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has been written to fIll a substantial gap in the current literature in mathemat ical education. Throughout the world, school mathematical curricula have incorporated probability and statistics as new topics. There have been many research papers written on specifIc aspects of teaching, presenting novel and unusual approaches to introducing ideas in the classroom; however, there has been no book giving an overview. Here we have decided to focus on probability, making reference to inferential statistics where appropriate; we have deliberately avoided descriptive statistics as it is a separate area and would have made ideas less coherent and the book excessively long. A general lead has been taken from the fIrst book in this series written by the man who, probably more than everyone else, has established mathematical education as an aca demic discipline. However, in his exposition of didactical phenomenology, Freudenthal does not analyze probability. Thus, in this book, we show how probability is able to organize the world of chance and idealized chance phenomena based on its development and applications. In preparing these chapters we and our co-authors have reflected on our own acquisition of probabilistic ideas, analyzed textbooks, and observed and reflect ed upon the learning processes involved when children and adults struggle to acquire the relevant concepts.

Exploring Probability in School

Author : Graham A. Jones
Publisher : Springer Science & Business Media
ISBN 13 : 0387245308
Total Pages : 394 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Exploring Probability in School by : Graham A. Jones

Download or read book Exploring Probability in School written by Graham A. Jones and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring Probability in School provides a new perspective into research on the teaching and learning of probability. It creates this perspective by recognizing and analysing the special challenges faced by teachers and learners in contemporary classrooms where probability has recently become a mainstream part of the curriculum from early childhood through high school. The authors of the book discuss the nature of probability, look at the meaning of probabilistic literacy, and examine student access to powerful ideas in probability during the elementary, middle, and high school years. Moreover, they assemble and analyse research-based pedagogical knowledge for teachers that can enhance the learning of probability throughout these school years. With the book’s rich application of probability research to classroom practice, it will not only be essential reading for researchers and graduate students involved in probability education; it will also capture the interest of educational policy makers, curriculum personnel, teacher educators, and teachers.

Children’s Logical and Mathematical Cognition

Author : C.J. Brainerd
Publisher : Springer Science & Business Media
ISBN 13 : 146139466X
Total Pages : 230 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Children’s Logical and Mathematical Cognition by : C.J. Brainerd

Download or read book Children’s Logical and Mathematical Cognition written by C.J. Brainerd and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: For some time now, the study of cognitive development has been far and away the most active discipline within developmental psychology. Although there would be much disagreement as to the exact proportion of papers published in developmen tal journals that could be considered cognitive, 50% seems like a conservative estimate. Hence, a series of scholarly books to be devoted to work in cognitive development is especially appropriate at this time. The Springer Series in Cognitive Development contains two basic types of books, namely, edited collections of original chapters by several authors, and original volumes written by one author or a small group of authors. The flagship for the Springer Series will be a serial publication of the "advances" type, carrying the subtitle Progress in Cognitive Development Research. Each volume in the Progress sequence will be strongly thematic, in that it will be limited to some well-defined domain of cognitive-developmental research (e. g. , logical and mathematical de velopment, semantic development). All Progress volumes will be edited collec tions. Editors of such collections, upon consultation with the Series Editor, may elect to have their books published either as contributions to the Progress sequence or as separate volumes. All books written by one author or a small group of authors will be published as separate volumes within the series. A fairly broad definition of cognitive development is being used in the selection of books for this series.

The Challenge of Developing Statistical Literacy, Reasoning and Thinking

Author : Dani Ben-Zvi
Publisher : Springer Science & Business Media
ISBN 13 : 1402022786
Total Pages : 423 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis The Challenge of Developing Statistical Literacy, Reasoning and Thinking by : Dani Ben-Zvi

Download or read book The Challenge of Developing Statistical Literacy, Reasoning and Thinking written by Dani Ben-Zvi and published by Springer Science & Business Media. This book was released on 2006-02-23 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unique in that it collects, presents, and synthesizes cutting edge research on different aspects of statistical reasoning and applies this research to the teaching of statistics to students at all educational levels, this volume will prove of great value to mathematics and statistics education researchers, statistics educators, statisticians, cognitive psychologists, mathematics teachers, mathematics and statistics curriculum developers, and quantitative literacy experts in education and government.

Oxford Handbook of Numerical Cognition

Author : Roi Cohen Kadosh
Publisher : Oxford University Press
ISBN 13 : 0191036013
Total Pages : 1515 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis Oxford Handbook of Numerical Cognition by : Roi Cohen Kadosh

Download or read book Oxford Handbook of Numerical Cognition written by Roi Cohen Kadosh and published by Oxford University Press. This book was released on 2015-07-30 with total page 1515 pages. Available in PDF, EPUB and Kindle. Book excerpt: How do we understand numbers? Do animals and babies have numerical abilities? Why do some people fail to grasp numbers, and how we can improve numerical understanding? Numbers are vital to so many areas of life: in science, economics, sports, education, and many aspects of everyday life from infancy onwards. Numerical cognition is a vibrant area that brings together scientists from different and diverse research areas (e.g., neuropsychology, cognitive psychology, developmental psychology, comparative psychology, anthropology, education, and neuroscience) using different methodological approaches (e.g., behavioral studies of healthy children and adults and of patients; electrophysiology and brain imaging studies in humans; single-cell neurophysiology in non-human primates, habituation studies in human infants and animals, and computer modeling). While the study of numerical cognition had been relatively neglected for a long time, during the last decade there has been an explosion of studies and new findings. This has resulted in an enormous advance in our understanding of the neural and cognitive mechanisms of numerical cognition. In addition, there has recently been increasing interest and concern about pupils' mathematical achievement in many countries, resulting in attempts to use research to guide mathematics instruction in schools, and to develop interventions for children with mathematical difficulties. This handbook brings together the different research areas that make up the field of numerical cognition in one comprehensive and authoritative volume. The chapters provide a broad and extensive review that is written in an accessible form for scholars and students, as well as educationalists, clinicians, and policy makers. The book covers the most important aspects of research on numerical cognition from the areas of development psychology, cognitive psychology, neuropsychology and rehabilitation, learning disabilities, human and animal cognition and neuroscience, computational modeling, education and individual differences, and philosophy. Containing more than 60 chapters by leading specialists in their fields, the Oxford Handbook of Numerical Cognition is a state-of-the-art review of the current literature.

Contributions To Information Integration Theory

Author : Norman H. Anderson
Publisher : Psychology Press
ISBN 13 : 1317783174
Total Pages : 264 pages
Book Rating : 4.3/5 (177 download)

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Book Synopsis Contributions To Information Integration Theory by : Norman H. Anderson

Download or read book Contributions To Information Integration Theory written by Norman H. Anderson and published by Psychology Press. This book was released on 2014-01-02 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of information integration provides a unified, general approach to the three disciplines of cognitive, social, and developmental psychology. Each of these volumes illustrates how the concepts and methods of this experimentally-grounded theory may be productively applied to core problems in one of these three disciplines.

Cognitive Diagnostic Assessment for Learning

Author : Peida Zhan
Publisher : Frontiers Media SA
ISBN 13 : 288974096X
Total Pages : 239 pages
Book Rating : 4.8/5 (897 download)

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Book Synopsis Cognitive Diagnostic Assessment for Learning by : Peida Zhan

Download or read book Cognitive Diagnostic Assessment for Learning written by Peida Zhan and published by Frontiers Media SA. This book was released on 2022-01-19 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Concept Development in the Secondary School

Author : Peter Langford
Publisher : Routledge
ISBN 13 : 1317226895
Total Pages : 173 pages
Book Rating : 4.3/5 (172 download)

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Book Synopsis Concept Development in the Secondary School by : Peter Langford

Download or read book Concept Development in the Secondary School written by Peter Langford and published by Routledge. This book was released on 2016-03-10 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1987, this book introduces the reader to work on the intellectual development of adolescents relevant to the secondary school teacher. It covers the teaching of English, history, geography, economics, politics, legal studies, physics, chemistry, biology and mathematics. Although it emphasises the continuing importance of Piaget’s thought, the book aims to introduce readers to the non-Piagetian research that had taken place in recent years.