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Reasoning By Mathematical Induction In Childrens Arithmetic
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Book Synopsis Reasoning by Mathematical Induction in Children's Arithmetic by : Leslie Smith
Download or read book Reasoning by Mathematical Induction in Children's Arithmetic written by Leslie Smith and published by Elsevier. This book was released on 2002-08-21 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: The central argument that Leslie Smith makes in this study is that reasoning by mathematical induction develops during childhood. The basis for this claim is a study conducted with children aged five to seven years in school years one and two.
Book Synopsis Mathematical and Analogical Reasoning of Young Learners by : Lyn D. English
Download or read book Mathematical and Analogical Reasoning of Young Learners written by Lyn D. English and published by Routledge. This book was released on 2004-07-19 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book draws upon studies of the development of young children's mathematical and analogical reasoning in the United States and Australia to address a number of significant issues in the mathematical development of young children.
Book Synopsis Early Childhood Mathematics Skill Development in the Home Environment by : Belinda Blevins-Knabe
Download or read book Early Childhood Mathematics Skill Development in the Home Environment written by Belinda Blevins-Knabe and published by Springer. This book was released on 2016-10-17 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents current research on the connections between the home and family environment on children’s mathematics development. Focusing on infancy through first grade, it details the role of parents and other caregivers in promoting numeracy and the ways their active participation can prepare young children for learning about formal mathematics. Research data answer key questions regarding the development of numeracy alongside cognitive and linguistic skills, early acquisition of specific math skills, and numeracy of children with atypical language skills. The book also provides practical recommendations for parents and other caregivers as well as implications for future research studies and curriculum design. Included in the coverage: Ways to optimize home numeracy environments. Individual differences in numerical abilities. Cross-cultural comparisons and ways to scaffold young children's mathematical skills. Mathematics and language in the home environment. Center-based and family-based child care. Games and home numeracy practice. Early Childhood Mathematics Skill Development in the Home Environment is an essential resource for researchers, graduate students, and professionals in infancy and early childhood development, child and school psychology, early childhood education, social work, mathematics education, and educational psychology.
Book Synopsis Teaching and Learning Patterns in School Mathematics by : Ferdinand Rivera
Download or read book Teaching and Learning Patterns in School Mathematics written by Ferdinand Rivera and published by Springer Science & Business Media. This book was released on 2014-07-08 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book synthesizes research findings on patterns in the last twenty years or so in order to argue for a theory of graded representations in pattern generalization. While research results drawn from investigations conducted with different age-level groups have sufficiently demonstrated varying shifts in structural awareness and competence, which influence the eventual shape of an intended generalization, such shifts, however, are not necessarily permanent due to other pertinent factors such as the complexity of patterning tasks. The book proposes an alternative view of pattern generalization, that is, one that is not about shifts or transition phases but graded depending on individual experiences with target patterns. The theory of graded representations involving pattern generalization offers a much more robust understanding of differences in patterning competence since it is sensitive to varying levels of entry into generalization. Empirical evidence will be provided to demonstrate this alternative view, which is drawn from the author’s longitudinal work with elementary and middle school children, including several investigations conducted with preservice elementary majors. Two chapters of the book will be devoted to extending pattern generalization activity to arithmetic and algebraic learning of concepts and processes. The concluding chapter addresses the pedagogical significance of pattern learning in the school mathematics curriculum.
Book Synopsis Handbook of Research Methods in Early Childhood Education - Volume 2 by : Olivia Saracho
Download or read book Handbook of Research Methods in Early Childhood Education - Volume 2 written by Olivia Saracho and published by IAP. This book was released on 2014-10-01 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Research Methods in Early Childhood Education brings together in one source research techniques that researchers can use to collect data for studies that contribute to the knowledge in early childhood education. To conduct valid and reliable studies, researchers need to be knowledgeable about numerous research methodologies. The Handbook primarily addresses the researchers, scholars, and graduate or advanced undergraduate students who are preparing to conduct research in early childhood education. It provides them with the intellectual resources that will help them join the cadre of early childhood education researchers and scholars. The purpose of the Handbook is to prepare and guide researchers to achieve a high level of competence and sophistication, to avoid past mistakes, and to benefit from the best researchers in the field. This Handbook is also useful to university professors who conduct research and prepare student researchers in early childhood education. It aims to improve the researchers’ conceptual and methodological abilities in early childhood education. Thus, the Handbook can be used as a guide that focuses on important contemporary research methodologies in early childhood education and describes them to offer researchers the necessary information to use these methodologies appropriately. This Handbook is designed to be used by students of early childhood education at all levels of professional development as well as mature scholars who want to conduct research in areas needing more in-depth study. It is hoped that this Handbook of Research Methods in Early Childhood Education will serve the needs of many in the research community. Scholars seeking the current state of research knowledge in various areas should find this volume useful. Similarly, practitioners who are trying to seek knowledge of research and its practical implications should find this volume helpful as well. This Handbook with its individual chapters presents several research methodologies to address a variety of hypotheses or research questions that will contribute to the knowledge of the field in early childhood education.
Book Synopsis Blackwell Handbook of Childhood Cognitive Development by : Usha Goswami
Download or read book Blackwell Handbook of Childhood Cognitive Development written by Usha Goswami and published by John Wiley & Sons. This book was released on 2008-04-15 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt: This definitive volume provides state-of-the-art summaries of current research by leading specialists in different areas of cognitive development. Forms part of a series of four Blackwell Handbooks in Developmental Psychology spanning infancy to adulthood. Covers all the major topics in research and theory about childhood cognitive development. Synthesizes the latest research findings in an accessible manner. Includes chapters on abnormal cognitive development and theoretical perspectives, as well as basic research topics. Now available in full text online via xreferplus, the award-winning reference library on the web from xrefer. For more information, visit www.xreferplus.com
Book Synopsis A Spiral Workbook for Discrete Mathematics by : Harris Kwong
Download or read book A Spiral Workbook for Discrete Mathematics written by Harris Kwong and published by Open SUNY Textbooks. This book was released on 2015-11-06 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Spiral Workbook for Discrete Mathematics covers the standard topics in a sophomore-level course in discrete mathematics: logic, sets, proof techniques, basic number theory, functions,relations, and elementary combinatorics, with an emphasis on motivation. The text explains and claries the unwritten conventions in mathematics, and guides the students through a detailed discussion on how a proof is revised from its draft to a nal polished form. Hands-on exercises help students understand a concept soon after learning it. The text adopts a spiral approach: many topics are revisited multiple times, sometimes from a dierent perspective or at a higher level of complexity, in order to slowly develop the student's problem-solving and writing skills.
Book Synopsis The Cambridge Companion to Piaget by : Ulrich Müller
Download or read book The Cambridge Companion to Piaget written by Ulrich Müller and published by Cambridge University Press. This book was released on 2009-08-24 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: Jean Piaget (1896–1980) was listed among the 100 most important persons in the twentieth century by Time magazine, and his work - with its distinctive account of human development - has had a tremendous influence on a range of disciplines from philosophy to education, and notably in developmental psychology. The Cambridge Companion to Piaget provides a comprehensive introduction to different aspects of Piaget's work in a manner that does not eschew engagement with the complexities of subjects or debates yet is accessible to upper-level undergraduate students. Each chapter is a specially commissioned essay written by an expert on the subject matter. Thus, the book will also be of interest to academic psychologists, educational psychologists, and philosophers.
Book Synopsis Children's Arithmetic by : Herbert Ginsburg
Download or read book Children's Arithmetic written by Herbert Ginsburg and published by . This book was released on 1977 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: HOW CHILDREN LEARN ARITHMETIC CONCEPTS FROM INFANCY-7 YEARS OLD.
Book Synopsis Children's Arithmetic by : Herbert Ginsburg
Download or read book Children's Arithmetic written by Herbert Ginsburg and published by Pro-Ed. This book was released on 1989 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Springer Handbook of Model-Based Science by : Lorenzo Magnani
Download or read book Springer Handbook of Model-Based Science written by Lorenzo Magnani and published by Springer. This book was released on 2017-05-22 with total page 1179 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook offers the first comprehensive reference guide to the interdisciplinary field of model-based reasoning. It highlights the role of models as mediators between theory and experimentation, and as educational devices, as well as their relevance in testing hypotheses and explanatory functions. The Springer Handbook merges philosophical, cognitive and epistemological perspectives on models with the more practical needs related to the application of this tool across various disciplines and practices. The result is a unique, reliable source of information that guides readers toward an understanding of different aspects of model-based science, such as the theoretical and cognitive nature of models, as well as their practical and logical aspects. The inferential role of models in hypothetical reasoning, abduction and creativity once they are constructed, adopted, and manipulated for different scientific and technological purposes is also discussed. Written by a group of internationally renowned experts in philosophy, the history of science, general epistemology, mathematics, cognitive and computer science, physics and life sciences, as well as engineering, architecture, and economics, this Handbook uses numerous diagrams, schemes and other visual representations to promote a better understanding of the concepts. This also makes it highly accessible to an audience of scholars and students with different scientific backgrounds. All in all, the Springer Handbook of Model-Based Science represents the definitive application-oriented reference guide to the interdisciplinary field of model-based reasoning.
Book Synopsis International Encyclopedia of Education by :
Download or read book International Encyclopedia of Education written by and published by Elsevier. This book was released on 2009-04-17 with total page 6964 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of education has experienced extraordinary technological, societal, and institutional change in recent years, making it one of the most fascinating yet complex fields of study in social science. Unequalled in its combination of authoritative scholarship and comprehensive coverage, International Encyclopedia of Education, Third Edition succeeds two highly successful previous editions (1985, 1994) in aiming to encapsulate research in this vibrant field for the twenty-first century reader. Under development for five years, this work encompasses over 1,000 articles across 24 individual areas of coverage, and is expected to become the dominant resource in the field. Education is a multidisciplinary and international field drawing on a wide range of social sciences and humanities disciplines, and this new edition comprehensively matches this diversity. The diverse background and multidisciplinary subject coverage of the Editorial Board ensure a balanced and objective academic framework, with 1,500 contributors representing over 100 countries, capturing a complete portrait of this evolving field. A totally new work, revamped with a wholly new editorial board, structure and brand-new list of meta-sections and articles Developed by an international panel of editors and authors drawn from senior academia Web-enhanced with supplementary multimedia audio and video files, hotlinked to relevant references and sources for further study Incorporates ca. 1,350 articles, with timely coverage of such topics as technology and learning, demography and social change, globalization, and adult learning, to name a few Offers two content delivery options - print and online - the latter of which provides anytime, anywhere access for multiple users and superior search functionality via ScienceDirect, as well as multimedia content, including audio and video files
Book Synopsis Reductionism and the Development of Knowledge by : Terrance Brown
Download or read book Reductionism and the Development of Knowledge written by Terrance Brown and published by Psychology Press. This book was released on 2003-01-30 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers collected in this volume are all derived from the 29th Annual Symposium of JPS.The intent of the volume is to examine the issue of reductionism on the theoretical level in several sciences, including biology,psychology,&sociology.
Book Synopsis Patterns of Plausible Inference by : George Pólya
Download or read book Patterns of Plausible Inference written by George Pólya and published by . This book was released on 1954 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: A guide to the practical art of plausible reasoning, this book has relevance in every field of intellectual activity. Professor Polya, a world-famous mathematician from Stanford University, uses mathematics to show how hunches and guesses play an important part in even the most rigorously deductive science. He explains how solutions to problems can be guessed at; good guessing is often more important than rigorous deduction in finding correct solutions. Vol. II, on Patterns of Plausible Inference, attempts to develop a logic of plausibility. What makes some evidence stronger and some weaker? How does one seek evidence that will make a suspected truth more probable? These questions involve philosophy and psychology as well as mathematics.
Book Synopsis Social Interaction and the Development of Knowledge by : Jeremy I.M. Carpendale
Download or read book Social Interaction and the Development of Knowledge written by Jeremy I.M. Carpendale and published by Psychology Press. This book was released on 2014-04-04 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by highly respected theorists in psychology and philosophy, the chapters in this book explicate and address fundamental epistemological issues involved in the problem of the relationship between the individual and the collective. Different theoretical viewpoints are presented on this relationship, as well as between the nature of rationality and morality, relativism and universalism, and enculturation and internalization. Many chapters also highlight similarities and differences between these alternative frameworks and Piaget's theory, and thus correct the misperception that Piaget had nothing to say about the social dimension of development. Other chapters focus on the implications of these debates for the important topic areas of pedagogy, moral development, and the development of social understanding in infancy and childhood. Although Piaget's theory is presented and evaluated by some of the chapters in this collection, the authors remain critical and do not shy away from revising or extending Piaget's theory whenever it is deemed necessary. Though the topic covered in this book is of fundamental importance in the social sciences, it is rarely addressed in a sustained way as it is in this collection of chapters. The book benefits social scientists interested in fundamental epistemological issues, especially as these concern the relationship between the individual and the collective, with implications for the conceptualization of morality and rationality.
Book Synopsis Mathematics for Tomorrow’s Young Children by : C.S. Mansfield
Download or read book Mathematics for Tomorrow’s Young Children written by C.S. Mansfield and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Social constructivism is just one view of learning that places emphasis on the social aspects of learning. Other theoretical positions, such as activity theory, also emphasise the importance of social interactions. Along with social constructivism, Vygotsky's writings on children's learning have recently also undergone close scru tiny and researchers are attempting a synthesis of aspects ofVygotskian theory and social constructivism. This re-examination of Vygotsky's work is taking place in many other subject fields besides mathematics, such as language learning by young children. It is interesting to speculate why Vygotsky's writings have appealed to so many researchers in different cultures and decades later than his own times. Given the recent increased emphasis on the social nature of learning and on the interactions between student, teacher and context factors, a finer grained analysis of the nature of different theories of learning now seems to be critical, and it was considered that different views of students' learning of mathematics needed to be acknowledged in the discussions of the Working Group.
Book Synopsis Epistemic Cognition and Development by : David Moshman
Download or read book Epistemic Cognition and Development written by David Moshman and published by Psychology Press. This book was released on 2014-12-05 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Epistemic cognition, the philosophical core of metacognition, concerns people’s knowledge about the justification and truth of beliefs. Multiple literatures in psychology and education address aspects of epistemic cognition. In the absence of a coherent conceptual framework, however, these literatures mostly fail to communicate with each other and often connect only loosely to genuine epistemology. This complicates any effort to achieve a systematic theoretical understanding of epistemic cognition and its development. Deanna Kuhn writes in her foreword, "Moshman is not the first to take on this challenge, but he fulfills it elegantly and, I think, the most comprehensively and astutely." After reviewing the basics of philosophical epistemology and cognitive psychology, Epistemic Cognition and Development provides a compelling account of developmental change across childhood and beyond in knowledge about knowledge, especially with regard to fundamental conceptions of objectivity, subjectivity, rationality, justification, and truth. This is followed by detailed consideration of domain-specific epistemologies of science, logic, morality, social convention, history, and identity, including associated forms of reasoning. The final section provides theoretical conclusions, educational and social applications, and suggestions for further research.
