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Author : Myron Frederick Rosskopf,Leslie P. Steffe,Stanley Taback
Publisher : Unknown
Page : 266 pages
File Size : 52,8 Mb
Release : 1971
Category : Cognition in children
ISBN : UOM:39015002563651
Author : Myron Frederick Rosskopf
Publisher : Unknown
Page : 243 pages
File Size : 43,8 Mb
Release : 1970
Category : Electronic
ISBN : OCLC:39107222
Author : C.J. Brainerd
Publisher : Springer Science & Business Media
Page : 230 pages
File Size : 51,6 Mb
Release : 2012-12-06
Category : Psychology
ISBN : 9781461394662
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.
Author : Julie Sarama,Douglas H. Clements
Publisher : Routledge
Page : 440 pages
File Size : 44,9 Mb
Release : 2009-04-01
Category : Education
ISBN : 9781135592493
This important new book synthesizes relevant research on the learning of mathematics from birth into the primary grades from the full range of these complementary perspectives. At the core of early math experts Julie Sarama and Douglas Clements's theoretical and empirical frameworks are learning trajectories—detailed descriptions of children’s thinking as they learn to achieve specific goals in a mathematical domain, alongside a related set of instructional tasks designed to engender those mental processes and move children through a developmental progression of levels of thinking. Rooted in basic issues of thinking, learning, and teaching, this groundbreaking body of research illuminates foundational topics on the learning of mathematics with practical and theoretical implications for all ages. Those implications are especially important in addressing equity concerns, as understanding the level of thinking of the class and the individuals within it, is key in serving the needs of all children.
Author : Geoffrey B. Saxe
Publisher : Psychology Press
Page : 259 pages
File Size : 55,6 Mb
Release : 2015-01-28
Category : Psychology
ISBN : 9781317728085
Researchers examining children's mathematics acquisition are now questioning the belief that children learn mathematics principally through formalized, in-school mathematics education. There is increasing evidence that children gain mathematical understanding through their participation in out-of-school cultural practices and that their mathematics only occasionally resembles what they learn in the classroom. Culture and Cognitive Development presents the latest research by Dr. Geoffrey Saxe on this issue. In examinations of the mathematical understandings of child candy sellers in an urban center in northeastern Brazil, Dr. Saxe finds sharp contrasts between mathematics as practiced in school and in real-world settings. In this unique research project he presents a penetrating conceptual treatment of the interplay between culture and cognitive development, filling a void in current research literature. Subjects examined include: the interplay between sociocultural and cognitive developmental processes the differences between math knowledge learned in and out of the classroom the ways math learning in the classroom is modified by children's out-of-school mathematics and, correspondingly, how practical out-of-school mathematics use is modified by formal education
Author : Olivia Saracho,Bernard Spodek
Publisher : IAP
Page : 349 pages
File Size : 44,8 Mb
Release : 2008-02-01
Category : Education
ISBN : 9781607526377
This volume provides a comprehensive critical analysis of the research in mathematics education for young children. The researchers who conducted the critical analysis focused on the relationship between (1) mathematics learning in the early years and domain specific approaches to cognitive development, (2) the children’s social learning and their developing understanding of math, and (3) the children’s learning in a natural context and their understanding of mathematics concepts. The work of these scholars can help guide those researchers who are interested in pursuing studies in early childhood mathematics in a specific area of study. This volume will facilitate the research conducted by both novice and expert researchers. The volume has accomplished its major goals, which consists of critically analyzing important research in a specific area that would be most useful in advancing the field and provide recommendations for both researchers and educators.
Author : Paul Christian Dawkins,Amy J. Hackenberg,Anderson Norton
Publisher : Springer Nature
Page : 620 pages
File Size : 49,8 Mb
Release : 2024-01-22
Category : Education
ISBN : 9783031473869
The book provides an entry point for graduate students and other scholars interested in using the constructs of Piaget’s genetic epistemology in mathematics education research. Constructs comprising genetic epistemology form the basis for some of the most well-developed theoretical frameworks available for characterizing learning, particularly in mathematics. The depth and complexity of Piaget’s work can make it challenging to find adequate entry points for learners, not least because it requires a reorientation regarding the nature of mathematical knowledge itself. This volume gathers leading scholars to help address that challenge. The main section of the book presents key Piagetian constructs for mathematics education research such as schemes and operations, figurative and operative thought, images and meanings, and decentering. The chapters that discuss these constructs include examples from research and address how these constructs can be used in research. There are two chapters on various types of reflective abstraction, because this construct is Piaget’s primary tool for characterizing the advancement of knowledge. The later sections of the book contain commentaries reflecting on the contributions of the body of theory developed in the first section. They connect genetic epistemology to current research domains such as equity and the latest in educational psychology. Finally, the book closes with short chapters portraying how scholars are using these tools in specific arenas of mathematics education research, including in special education, early childhood education, and statistics education.
Author : National Research Council,Division of Behavioral and Social Sciences and Education,Center for Education,Board on Science Education,Mathematical Sciences Education Board
Publisher : National Academies Press
Page : 54 pages
File Size : 42,6 Mb
Release : 2005-01-23
Category : Education
ISBN : 9780309095037
Expectations for early learning are very different than they were even as recently as a decade ago. With increased recognition of the intellectual capacities of young children, as well as a growing understanding of how these capacities develop and can be fostered, has come a growing recognition that early childhood education, in both formal and informal settings, may not be helping all children maximize their cognitive capacities. Mathematical and Scientific Development in Early Childhood explores the research in cognition and developmental psychology that sheds light on children's capacity to learn mathematical and scientific ideas. This summary report of the discussions and presentations at the workshop is designed to frame the issues relevant to advancing research useful to the development of research-based curricula for mathematics and science for young children.
Author : Catherine Sophian
Publisher : Routledge
Page : 219 pages
File Size : 49,8 Mb
Release : 2017-09-25
Category : Education
ISBN : 9781351541749
This book examines the origins and development of children's mathematical knowledge. It contrasts the widely held view that counting is the starting point for mathematical development with an alternative comparison-of-quantities position. According to the comparison-of-quantities position, the concept of number builds upon more basic concepts of equality, inequality, and less-than and greater-than relations, which derive from comparisons between unenumerated quantities such as lengths. The concept of number combines these basic comparative concepts with the concept of a unit of measure, which allows one quantity to be described as a multiple of another. Sophian examines these alternative accounts of children's developing mathematical knowledge in the light of research: on children's counting; on their reasoning about continuous quantities such as length and area; on the development of the concept of unit; on additive and multiplicative reasoning; and on knowledge about fractions. In the closing chapters, Sophian draws out the developmental and the educational implications of the research and theory presented. Developmentally, the comparison-of-quantities position undermines the idea that numerical knowledge develops through domain-specific learning mechanisms in that it links numerical development both to physical knowledge about objects, which is the starting point for the concept of unit, and to the acquisition of linguistic number terms. Instructionally, the comparison-of-quantities perspective diverges from the counting-first perspective in that it underscores the continuity between whole-number arithmetic and fraction learning that stems from the importance of the concept of unit for both. Building on this idea, Sophian advances three instructional recommendations: First, instruction about numbers should always be grounded in thinking about quantities and how numbers represent the relations between them; second, instruction in the early years should always be guided by a long-term perspective in which current objectives are shaped by an understanding of their role in the overall course of mathematics learning; and third, instruction should be directly toward promoting the acquisition of the most general mathematical knowledge possible. The Origins of Mathematical Knowledge in Childhood is intended for researchers, professionals, and graduate students in developmental psychology, educational psychology, and mathematics education, and as a supplementary text for advanced undergraduate courses in cognitive development, educational psychology, and mathematics education.
Author : Terezinha Nunes,Peter Bryant
Publisher : Routledge
Page : 140 pages
File Size : 49,5 Mb
Release : 2021-08-05
Category : Psychology
ISBN : 9780429560804
Using Mathematics to Understand the World: How Culture Promotes Children's Mathematics offers fundamental insight into how mathematics permeates our lives as a way of representing and thinking about the world. Internationally renowned experts Terezinha Nunes and Peter Bryant examine research into children’s mathematical development to show why it is important to distinguish between quantities, relations and numbers. Using Mathematics to Understand the World presents a theory about the development of children’s quantitative reasoning and reveals why and how teaching about quantitative reasoning can be used to improve children’s mathematical attainment in school. It describes how learning about the analytical meaning of numbers is established as part of mathematics at school but quantitative reasoning is emphasized less even though it is increasingly acclaimed as essential for thinking mathematically and for using mathematics to understand the world. This essential text is for all students of mathematics education, developmental psychology and cognitive psychology. By including activities for parents and professionals to try themselves, it may help you to recognize your own quantitative reasoning.
Author : Richard W. Copeland
Publisher : Macmillan College
Page : 472 pages
File Size : 46,6 Mb
Release : 1984
Category : Education
ISBN : STANFORD:36105032803764
This text has two major purposes. One is diagnostic-to aid in discerning a child's stage of development as a basic for determining the type of mathematics for which he is ready. The second major purpose is to serve the "methods of teaching mathematics" courses in teacher education.l The reader will find this book very different from other methods texts because it is based on how children learn, not how to teach, and it should enable readers to see mathematics from the standpoint of the child as he progresses through the various stages of development.
Author : Nancy Ewald Jackson,Halbert B. Robinson,Philip S. Dale
Publisher : Unknown
Page : 72 pages
File Size : 43,6 Mb
Release : 1976
Category : Children
ISBN : UOM:39015026980469
Author : Leslie Smith,Julie Dockrell,Peter Tomlinson
Publisher : Routledge
Page : 348 pages
File Size : 51,6 Mb
Release : 2003-09-02
Category : Psychology
ISBN : 9781134755059
Jean Piaget and Lev Vygotsky are arguably the two most influential figures in psychological research. Although born in the same year of 1896, it is only over the last decade or so that the work of Vygotsky has rivalled that of Piaget in importance in the Western world. This collection of original contributions by leading researchers celebrates the 1996 centenary of the births of the two most seminal figures in education and developmental psychology - Jean Piaget and Lev Vygotsky. Research in their footsteps continues worldwide and is growing. What are the implications for the future for this extensive programme? Which of the large body of findings has proved most important to current research? Based around five themes, these original contributions cover educational intervention and teaching, social collaboration and learning, cognitive skills and domains, the measurement of development and the development of modal understanding. Piaget, Vygotsky and Beyond is a uniquely comprehensive collection, drawing together a wide range of themes in psychology and educational research that would otherwise be dispersed throughout a variety of different publications. It will be useful to advanced scholars and practitioner-researchers in both education and psychology.
Author : Anonim
Publisher : Unknown
Page : 1272 pages
File Size : 48,5 Mb
Release : 1973
Category : Education
ISBN : UFL:31262083003649
Author : Catherine Sophian
Publisher : Routledge
Page : 201 pages
File Size : 50,8 Mb
Release : 2019-03-11
Category : Psychology
ISBN : 9780429710988
Synthesizing research on numerical development, the book explores the implications for instruction, drawing upon the ideas of Piaget, Vygotsky, and several contemporary cognitive-developmental theorists. The text is intended for use in undergraduate and graduate-level courses in developmental psychology and education. Children’s developing underst