Download or read book Piagetian Cognitive development Research and Mathematical Education written by Myron Frederick Rosskopf and published by . This book was released on 1971 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Piagetian Cognitive development Research and Mathematical Education written by Myron Frederick Rosskopf and published by . This book was released on 1970 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical and Scientific Development in Early Childhood written by National Research Council and published by National Academies Press. This book was released on 2005-01-23 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Culture and Cognitive Development written by Geoffrey B. Saxe and published by Psychology Press. This book was released on 2015-01-28 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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.

Download or read book Early Childhood Mathematics Education Research written by Julie Sarama and published by Routledge. This book was released on 2009-04-01 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Using Mathematics to Understand the World written by Terezinha Nunes and published by Routledge. This book was released on 2021-08-05 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Piaget s Genetic Epistemology for Mathematics Education Research written by Paul Christian Dawkins and published by Springer Nature. This book was released on 2024-01-22 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book The Origins of Mathematical Knowledge in Childhood written by Catherine Sophian and published by Routledge. This book was released on 2017-09-25 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Educational Implications of Piaget s Theory written by Irene J. Athey and published by Waltham, Mass. : Ginn-Blaisdell. This book was released on 1970 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Contemporary Perspectives on Mathematics in Early Childhood Education written by Olivia Saracho and published by IAP. This book was released on 2008-02-01 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Neo Piagetian Theories of Cognitive Development written by Andreas Demetriou and published by Routledge. This book was released on 2016-07-07 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Piagetian theory was once considered able to describe the structure and development of human thought. As a result, it generated an enthusiasm that it could direct education to develop new teaching methods, particularly in science and mathematics. However, disillusionment with Piagetian theory came rather quickly because many of its structural and developmental assumptions appeared incongruent with empirical evidence. In recent years several neo-Piagetian theories have been proposed which try to preserve the strengths of Piaget’s theory, while eliminating its weaknesses. At the same time several other models have been advanced originating from different epistemological traditions, such as cognitive/differential psychology or socio-historical approaches. Originally published in 1992, this title was unique in representing most of these theories and traditions. Specifically, the authors focus their work on the educational implications of their research. The chapters are organised in three parts: the first part presents some widely known models of cognitive development and discusses their implications for different aspects of education; the second part is devoted to learning and cognitive acceleration; while part three highlights teaching methods that would improve the acquisition of particular skills in specific areas. Written by an eminent group of truly international contributors, this title will still be useful to students and researchers in cognitive development and education, as well as educational policy makers.

Download or read book How Children Learn Mathematics written by Richard W. Copeland and published by Macmillan College. This book was released on 1984 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Preschool Pathways to Science written by Rochel Gelman and published by Brookes Publishing Company. This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: To ensure they're meeting early learning guidelines for science, preschool educators need fun, age-appropriate, and research-based ways to teach young children about scientific concepts. That's just what they'll get with this hands-on guidebook. The basis for the PBS KIDS show Sid the Science Kid, this innovative teaching resource helps children ages 3 - 5 investigate their everyday world and develop the basics of scienfific thinking, skills they'll apply across subject areas when they enter school. A fun and engaging way to introduce science to young children, PrePS is a must-have because it: is based on the domain-specific approach to cognitive development; provides age-appropriate introduction to key science practices; makes the most of children's natural curiosity; encourages collaboration between teachers and children; enhances any curriculum; and taps teachers' creativity. This reader-friendly guide gives educators the guidance they need to work PrePS into their existing program; sample schedules designed for the preschool classroom; and detailed sample activites they can do right away or use as templates for their own creative lessons. And with the book's assessment guidelines, teachers will know PrePS is having a measurable effect on the classroom environment and student learning.

Download or read book Neuroscience of Mathematical Cognitive Development written by Rhonda Douglas Brown and published by Springer. This book was released on 2018-04-13 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: ​This book examines the neuroscience of mathematical cognitive development from infancy into emerging adulthood, addressing both biological and environmental influences on brain development and plasticity. It begins by presenting major theoretical frameworks for designing and interpreting neuroscience studies of mathematical cognitive development, including developmental evolutionary theory, developmental systems approaches, and the triple-code model of numerical processing. The book includes chapters that discuss findings from studies using neuroscience research methods to examine numerical and visuospatial cognition, calculation, and mathematical difficulties and exceptionalities. It concludes with a review of mathematical intervention programs and recommendations for future neuroscience research on mathematical cognitive development. Featured neuroscience research methods include: Functional Magnetic Resonance Imaging (fMRI). Diffusion Tensor Imaging (DTI). Event Related Potentials (ERP). Transcranial Magnetic Stimulation (TMS). Neuroscience of Mathematical Cognitive Development is an essential resource for researchers, clinicians and related professionals, and graduate students in child and school psychology, neuroscience, educational psychology, neuropsychology, and mathematics education.

Download or read book Cognitive Development in Young Children written by Nancy Ewald Jackson and published by . This book was released on 1976 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Cognitive Foundations for Improving Mathematical Learning written by David C. Geary and published by Academic Press. This book was released on 2019-01-30 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cognitive Foundations for Improving Mathematical Learning, Volume 5, the latest release in the Mathematical Cognition and Learning series, focuses on informal learning environments and other parental influences on numerical cognitive development and formal instructional interventions for improving mathematics learning and performance. Chapters cover the use of numerical play and games for improving foundational number knowledge, school math performance, the link between early math abilities and the approximate number system, and how families can help improve the early development of math skills. In addition, the book examines learning trajectories in early mathematics, the role of mathematical language in acquiring numeracy skills, evidence-based assessments of early math skills, approaches for intensifying early mathematics interventions, the use of analogies in mathematics instruction, schema-based diagrams for teaching ratios and proportions, the role of cognitive processes in treating mathematical learning difficulties, and more. Identifies the relative influence of school and family on math learning Discusses the efficacy of numerical play for improvement in math Features learning trajectories in math Examines the role of math language in numeracy skills Includes assessments of math skills Explores the role of cognition in treating math-based learning difficulties