Pathways To Number Children S Developing Numerical Abilities
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Pathways To Number
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Author : Jacqueline Bideaud
language : en
Publisher: Psychology Press
Release Date : 2013-03-07
Pathways To Number written by Jacqueline Bideaud and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-07 with Psychology categories.
This volume celebrates the 50th anniversary of the famous and influential work of Jean Piaget and Alina Szeminska, The Child's Conception of Number. It is a tribute to those two authors as well as to the entire Geneva school that pioneered the genetic study of cognitive structures in children. Dealing with the process of the child's construction of the notion of number -- a very important subject for the child as well as for the teacher, the researcher, and the practicing psychologist -- it summarizes the progress that has been made and outlines new research directions in this area. The book is a compilation of the work of the foremost international researchers in this area and includes a wide spectrum of viewpoints and schools of thought. It also introduces several new authors from Europe, including students of Piaget, to the American academic community.
Pathways To Number Children S Developing Numerical Abilities
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Author : Jacqueline Bideaud
language : en
Publisher:
Release Date : 1992
Pathways To Number Children S Developing Numerical Abilities written by Jacqueline Bideaud and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.
Individual Differences In Arithmetic
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Author : Ann Dowker
language : en
Publisher: Routledge
Release Date : 2019-03-27
Individual Differences In Arithmetic written by Ann Dowker and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-27 with Psychology categories.
Arithmetic is still hugely important in many aspects of modern life, but our personal attitudes to it differ greatly. Many people struggle with the basic principles of arithmetic, whilst others love it and feel confident in their arithmetical abilities. Why are there so many individual differences in people’s performance in, and feelings about, arithmetic? Individual Differences in Arithmetic explores the idea that there is no such thing as arithmetical ability, only arithmetical abilities. The book discusses several important components of arithmetic, from counting principles and procedures to arithmetical estimation, alongside emotional and cognitive components of arithmetical performance. This edition has been extensively revised to include the latest research, including recent cross-cultural and cross-linguistic research, the development of new interventions for children with difficulties and studies of early foundations of mathematical abilities. Drawing on developmental, educational, cognitive and neuropsychological studies, this book will be essential reading for all researchers of mathematical cognition. It will also be of interest to educators and other professionals working within individuals with arithmetic deficits.
Forging Connections In Early Mathematics Teaching And Learning
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Author : Virginia Kinnear
language : en
Publisher: Springer
Release Date : 2017-12-12
Forging Connections In Early Mathematics Teaching And Learning written by Virginia Kinnear and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-12 with Education categories.
This edited book promotes thinking, dialogue, research and theorisation on multiple ways of making connections in mathematics teaching and learning in early childhood education. The book addresses some key challenges in research, policy and practice in early childhood mathematics education. It examines diverse ways for learning experiences to connect young children to mathematics, and the importance of forging connections between mathematics and young children’s lives as key elements in their engagement with mathematics. Each chapter provides research or theoretical provocations and pedagogical implications for connecting children’s lived experiences and ways of learning in mathematics teaching. The chapters are drawn from a range of international authors who raise important ideas within the overall context of current research and consider the theoretical and practical implications of their research. As such, the book advances current thinking on mathematics teaching and learning for children in the early years from birth to eight years with an emphasis on children aged birth to 5 years. It considers the purpose and value in connecting mathematics teaching and learning to children’s lives, and provides provocations for both educators and researchers on the many under-researched and under-represented aspects of early years mathematics teaching and learning.
Mathematical Reasoning
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Author : Lyn D. English
language : en
Publisher: Routledge
Release Date : 2013-04-03
Mathematical Reasoning written by Lyn D. English and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-03 with Education categories.
How we reason with mathematical ideas continues to be a fascinating and challenging topic of research--particularly with the rapid and diverse developments in the field of cognitive science that have taken place in recent years. Because it draws on multiple disciplines, including psychology, philosophy, computer science, linguistics, and anthropology, cognitive science provides rich scope for addressing issues that are at the core of mathematical learning. Drawing upon the interdisciplinary nature of cognitive science, this book presents a broadened perspective on mathematics and mathematical reasoning. It represents a move away from the traditional notion of reasoning as "abstract" and "disembodied", to the contemporary view that it is "embodied" and "imaginative." From this perspective, mathematical reasoning involves reasoning with structures that emerge from our bodily experiences as we interact with the environment; these structures extend beyond finitary propositional representations. Mathematical reasoning is imaginative in the sense that it utilizes a number of powerful, illuminating devices that structure these concrete experiences and transform them into models for abstract thought. These "thinking tools"--analogy, metaphor, metonymy, and imagery--play an important role in mathematical reasoning, as the chapters in this book demonstrate, yet their potential for enhancing learning in the domain has received little recognition. This book is an attempt to fill this void. Drawing upon backgrounds in mathematics education, educational psychology, philosophy, linguistics, and cognitive science, the chapter authors provide a rich and comprehensive analysis of mathematical reasoning. New and exciting perspectives are presented on the nature of mathematics (e.g., "mind-based mathematics"), on the array of powerful cognitive tools for reasoning (e.g., "analogy and metaphor"), and on the different ways these tools can facilitate mathematical reasoning. Examples are drawn from the reasoning of the preschool child to that of the adult learner.
Perceptual And Cognitive Development
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Author : Rochel Gelman
language : en
Publisher: Academic Press
Release Date : 1996-06-17
Perceptual And Cognitive Development written by Rochel Gelman and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-06-17 with Psychology categories.
Perceptual and Cognitive Development illustrates how the developmental approach yields fundamental contributions to our understanding of perception and cognition as a whole. The book discusses how to relate developmental, comparative, and neurological considerations to early learning and development, and it presents fundamental problems in cognition and language, such as the acquisition of a coherent, organized, and shared understanding of concepts and language. Discussions of learning, memory, attention, and problem solving are embedded within specific accounts of the neurological status of developing minds and the nature of knowledge. Research advances and theoretical reorientations are updated in the Second Edition; the revision focuses more attention on the cognitive and biological sciences and neuroscience Illustrates how the developmental approach can yield fundamental contributions to our understanding of perception and cognition as a whole Discussions of learning, memory, and attention permeate individual chapters
Expanding The Numerical Central Conceptual Structure
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Author : Laura Christine Bofferding
language : en
Publisher: Stanford University
Release Date : 2011
Expanding The Numerical Central Conceptual Structure written by Laura Christine Bofferding and has been published by Stanford University this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.
In working with integers, students have difficulties that may extend into middle school and even adulthood. However, even young children can display insights into negative numbers well before receiving formal instruction. Using a pre-test, instruction, post-test design, this study explores how 61 first graders reason about negative number properties and operations and how their understanding changes depending on the instruction they receive. Results of the study indicate that children build on their existing whole number understanding to develop a central conceptual structure for integers. Furthermore, the process by which they extend their numerical central conceptual structure differs among students; their initial schemas, together with the form of the integer instruction, influence how they reason about and solve integer addition and subtraction problems. These results highlight the need to revisit the placement, duration, and content of integer instruction in curricula.
Mathematical Cognition
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Author : James M. Royer
language : en
Publisher: IAP
Release Date : 2003-01-01
Mathematical Cognition written by James M. Royer and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-01 with Education categories.
Early Numeracy
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Author : Robert J Wright
language : en
Publisher: SAGE
Release Date : 2006-01-05
Early Numeracy written by Robert J Wright and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-05 with Education categories.
′Unlike many books based on research work this book doesn′t just let teachers know what is going wrong with children′s learning it actually gives some practical advice about what to do next. The whole book is based upon extensive observation and recording of individual children and their difficulties with mathematics. These children are the most difficult to plan for in a busy classroom and the authors appreciate the small steps and the different learning styles approaches needed for these children. This approach fits well with the NNS wave and springboard materials but takes the analysis of the individual′s difficulties to a more detailed level. The book brings together research carried out across a range of countries and therefore shows the versatility of the approaches taken. This will be a very useful book for trainee teachers as it exemplifies how to use assessment to feed into teaching. It will be helpful for class teachers and mathematics co-ordinators as well as SENCOs to assist in improving the teaching and learning for specific children in our schools′ - Mary Briggs, Primary and Early Years PGCE Co-ordinator, Institute of Education, University of Warwick ′This is a highly practical resource that will be appreciated by classroom and specialist teachers alike. It will provide teachers new to the Math Recovery program with practical help and support to diagnose errors and misconceptions in early numeracy. Practicing Math Recovery Specialists will be thrilled with the addition of four new highly focused assessments and an elaboration of the Learning Framework in Number. Early Numeracy is admirably grounded in international research and well-established theory, characteristics that are much sought after in the current data driven educational environment. Like many others, I was drawn to Math Recovery after reading the first edition of Early Numeracy. This second edition is a treasure - it is exciting to consider the impact it will have on children and teachers, and to the growth of the Math Recovery program′ - Audrey Murray, Lead Teacher, Midwest Math Recovery Training Center, Minneapolis This text has been fully updated to include developments and refinements brought about by widespread international application of the assessment tools in the Mathematics Recovery Programme. The book will help practitioners to identify and provide detailed analyses of all children but especially those who are able and those who underachieve in early numeracy. It will enable teachers, learning support personnel, numeracy consultants and educational psychologists to advise colleagues and parents on children′s number knowledge and strategies for early numeracy. The Mathematics Recovery Programme has been successfully applied in Australia, the United Kingdom and Ireland, the United States and Canada, both in specialist interventions and classroom settings. The revised version shows how familiarisation with, and understanding of, the diagnostic assessment tools has allowed teachers to become more knowledgeable in understanding children′s difficulties and misconceptions, and more skilled and confident in planning programmes of intervention and monitoring the children′s progress. This new edition includes: - Integrated frameworks of useful tasks for assessing children′s number knowledge and strategies; - Four separate and revised diagnostic assessment interviews; - Assessments for addition and subtraction strategies, Base Ten Arithmetical strategies, Early Grouping strategies, and Advanced Grouping strategies in the four operations; - How the assessment process has impacted significantly on teachers′ professional development and contributed to the raising of standards in early numeracy.
Early Childhood Assessment
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Author : National Research Council
language : en
Publisher: National Academies Press
Release Date : 2008-12-21
Early Childhood Assessment written by National Research Council and has been published by National Academies Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-21 with Social Science categories.
The assessment of young children's development and learning has recently taken on new importance. Private and government organizations are developing programs to enhance the school readiness of all young children, especially children from economically disadvantaged homes and communities and children with special needs. Well-planned and effective assessment can inform teaching and program improvement, and contribute to better outcomes for children. This book affirms that assessments can make crucial contributions to the improvement of children's well-being, but only if they are well designed, implemented effectively, developed in the context of systematic planning, and are interpreted and used appropriately. Otherwise, assessment of children and programs can have negative consequences for both. The value of assessments therefore requires fundamental attention to their purpose and the design of the larger systems in which they are used. Early Childhood Assessment addresses these issues by identifying the important outcomes for children from birth to age 5 and the quality and purposes of different techniques and instruments for developmental assessments.