[PDF] The Roles Of The Approximate Number System And Number Numerosity Mapping On The Mathematics Achievement In Normally And Low Achieving Children And Children With Mathematics Learning Disability - eBooks Review

The Roles Of The Approximate Number System And Number Numerosity Mapping On The Mathematics Achievement In Normally And Low Achieving Children And Children With Mathematics Learning Disability


The Roles Of The Approximate Number System And Number Numerosity Mapping On The Mathematics Achievement In Normally And Low Achieving Children And Children With Mathematics Learning Disability
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The Roles Of The Approximate Number System And Number Numerosity Mapping On The Mathematics Achievement In Normally And Low Achieving Children And Children With Mathematics Learning Disability


The Roles Of The Approximate Number System And Number Numerosity Mapping On The Mathematics Achievement In Normally And Low Achieving Children And Children With Mathematics Learning Disability
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Author : Tin-Yau Wong
language : en
Publisher:
Release Date : 2017-01-27

The Roles Of The Approximate Number System And Number Numerosity Mapping On The Mathematics Achievement In Normally And Low Achieving Children And Children With Mathematics Learning Disability written by Tin-Yau Wong and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-27 with categories.


This dissertation, "The Roles of the Approximate Number System and Number-numerosity Mapping on the Mathematics Achievement in Normally- and Low-achieving Children and Children With Mathematics Learning Disability" by Tin-yau, Wong, 王天佑, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. Abstract: Humans are born with a basic sense of number. This number sense, which is now called the Approximate Number System (ANS), allows us to represent numerosity without the use of symbols. There has been a debate on whether this nonsymbolic ANS contributes to our symbolic mathematics skills, and the recent findings are inclined to support the link between the two. However, what remains unclear is the mechanism underlying the relationship between the ANS and our mathematics skills, and whether children with Mathematics Learning Disabilities (MLD) suffer from a defective ANS. The present thesis aimed at addressing the above issues in two studies. Study 1 aimed at identifying the mechanism of how the ANS contributes to children's mathematics skills. A group of 210 kindergarteners were tested on their ANS acuity, number-numerosity mapping skills (measured by counting and estimation tasks), and their arithmetic skills. They were then re-tested twice when they were in Grade 1.Using Structural Equation Modeling, it was found that children's ANS acuity in kindergarten predicted their arithmetic skills one year later, and the relationship was mediated by their number-numerosity mapping skills. This suggested that ANS may contribute to mathematics learning by enabling more precise mapping between number symbols and the corresponding numerosity representation, hence making numbers meaningful. Studies 2A and 2B aimed at verifying whether children with MLD suffered from deficits in their ANS as well as their number-numerosity mapping skills. The same group of participants was followed one more time in Grade 2. Using the standard low-achievement method (Study 2A) and a more data-driven method known as the latent class growth analysis(Study 2B), two groups of children with MLD were identified. Both groups of children had deficits in both the ANS and their number-numerosity mapping skills as compared with their normally-achieving peers. Other groups of low-achieving children were also identified, and their difficulties seemed to be contributed by factors other than their ANS. While one of the low-achieving groups seemed to have deficit lying mainly on the number-numerosity mapping skills, the other low-achieving group did not show any cognitive deficits but had much lower SES compared to other groups. The relationship between the ANS and children's mathematics achievement was supported and elaborated in the present study. The findings not only articulated a potential mechanism of how children learned about mathematics, but they also allowed educators to have better understanding of the cognitive profiles of children with MLD, thus facilitating early identification and intervention. The different profiles of the low-achieving groups also highlighted the need for differential intervention for different groups of low-achieving children. DOI: 10.5353/th_b5334868 Subjects: Mathematics - Study and teaching - Psychological aspects Number concept Mathematical ability



The Roles Of The Approximate Number System And Number Numerosity Mapping On The Mathematics Achievement In Normally And Low Achieving Children And Children With Mathematics Learning Disability


The Roles Of The Approximate Number System And Number Numerosity Mapping On The Mathematics Achievement In Normally And Low Achieving Children And Children With Mathematics Learning Disability
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Author : 王天佑
language : en
Publisher:
Release Date : 2014

The Roles Of The Approximate Number System And Number Numerosity Mapping On The Mathematics Achievement In Normally And Low Achieving Children And Children With Mathematics Learning Disability written by 王天佑 and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Mathematical ability categories.




Math Instruction For Students With Learning Difficulties


Math Instruction For Students With Learning Difficulties
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Author : Susan Perry Gurganus
language : en
Publisher: Routledge
Release Date : 2021-11-30

Math Instruction For Students With Learning Difficulties written by Susan Perry Gurganus and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-30 with Education categories.


This richly updated third edition of Math Instruction for Students with Learning Difficulties presents a research-based approach to mathematics instruction designed to build confidence and competence in preservice and inservice PreK- 12 teachers. Referencing benchmarks of both the National Council of Teachers of Mathematics and Common Core State Standards for Mathematics, this essential text addresses teacher and student attitudes towards mathematics as well as language issues, specific mathematics disabilities, prior experiences, and cognitive and metacognitive factors. Chapters on assessment and instruction precede strands that focus on critical concepts. Replete with suggestions for class activities and field extensions, the new edition features current research across topics and an innovative thread throughout chapters and strands: multi-tiered systems of support as they apply to mathematics instruction.



The Oxford Handbook Of Numerical Cognition


The Oxford Handbook Of Numerical Cognition
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Author : Roi Cohen Kadosh
language : en
Publisher: Oxford Library of Psychology
Release Date : 2015

The Oxford Handbook Of Numerical Cognition written by Roi Cohen Kadosh and has been published by Oxford Library of Psychology this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Medical categories.


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.



On The Development Of Space Number Relations Linguistic And Cognitive Determinants Influences And Associations


On The Development Of Space Number Relations Linguistic And Cognitive Determinants Influences And Associations
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Author : Hans-Christoph Nuerk
language : en
Publisher: Frontiers Media SA
Release Date : 2020-03-30

On The Development Of Space Number Relations Linguistic And Cognitive Determinants Influences And Associations written by Hans-Christoph Nuerk and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-30 with categories.




Spontaneous Focusing On Numerosity In The Development Of Early Mathematical Skills


Spontaneous Focusing On Numerosity In The Development Of Early Mathematical Skills
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Author : Minna M. Hannula
language : en
Publisher:
Release Date : 2005

Spontaneous Focusing On Numerosity In The Development Of Early Mathematical Skills written by Minna M. Hannula and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.




Developmental Dyscalculia


Developmental Dyscalculia
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Author : Jörg-Tobias Kuhn
language : en
Publisher:
Release Date : 2015-07-20

Developmental Dyscalculia written by Jörg-Tobias Kuhn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-20 with categories.


This volume aims to further our understanding of developmental dyscalculia and measures that might help to redress it. In addition to recent research findings highlighting the importance of working memory facets in developmental dyscalculia and investigating the IQ-achievement discrepancy criterion in defining the disorder, a meta-analysis on the effectiveness of interventions for children with mathematical difficulties provides new directions for how affected children can best be helped.



Space Time And Number In The Brain


Space Time And Number In The Brain
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Author : Elizabeth Brannon
language : en
Publisher: Academic Press
Release Date : 2011-05-31

Space Time And Number In The Brain written by Elizabeth Brannon and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-31 with Mathematics categories.


The study of mathematical cognition and the ways in which the ideas of space, time and number are encoded in brain circuitry has become a fundamental issue for neuroscience. How such encoding differs across cultures and educational level is of further interest in education and neuropsychology. This rapidly expanding field of research is overdue for an interdisciplinary volume such as this, which deals with the neurological and psychological foundations of human numeric capacity. A uniquely integrative work, this volume provides a much needed compilation of primary source material to researchers from basic neuroscience, psychology, developmental science, neuroimaging, neuropsychology and theoretical biology. The first comprehensive and authoritative volume dealing with neurological and psychological foundations of mathematical cognition Uniquely integrative volume at the frontier of a rapidly expanding interdisciplinary field Features outstanding and truly international scholarship, with chapters written by leading experts in a variety of fields



Building The Foundation Whole Numbers In The Primary Grades


Building The Foundation Whole Numbers In The Primary Grades
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Author : Maria G. Bartolini Bussi
language : en
Publisher: Springer
Release Date : 2018-03-29

Building The Foundation Whole Numbers In The Primary Grades written by Maria G. Bartolini Bussi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-29 with Education categories.


This twenty-third ICMI Study addresses for the first time mathematics teaching and learning in the primary school (and pre-school) setting, while also taking international perspectives, socio-cultural diversity and institutional constraints into account. One of the main challenges of designing the first ICMI primary school study of this kind is the complex nature of mathematics at the early level. Accordingly, a focus area that is central to the discussion was chosen, together with a number of related questions. The broad area of Whole Number Arithmetic (WNA), including operations and relations and arithmetic word problems, forms the core content of all primary mathematics curricula. The study of this core content area is often regarded as foundational for later mathematics learning. However, the principles and main goals of instruction on the foundational concepts and skills in WNA are far from universally agreed upon, and practice varies substantially from country to country. As such, this study presents a meta-level analysis and synthesis of what is currently known about WNA, providing a useful base from which to gauge gaps and shortcomings, as well as an opportunity to learn from the practices of different countries and contexts.



Development Of Mathematical Cognition


Development Of Mathematical Cognition
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Author : Daniel B. Berch
language : en
Publisher: Academic Press
Release Date : 2015-10-03

Development Of Mathematical Cognition written by Daniel B. Berch and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-03 with Psychology categories.


Development of Mathematical Cognition: Neural Substrates and Genetic Influences reviews advances in extant imaging modalities and the application of brain stimulation techniques for improving mathematical learning. It goes on to explore the role genetics and environmental influences have in the development of math abilities and disabilities. Focusing on the neural substrates and genetic factors associated with both the typical and atypical development of mathematical thinking and learning, this second volume in the Mathematical Cognition and Learning series integrates the latest in innovative measures and methodological advances from the top researchers in the field. Provides details about new progress made in the study of neural correlates of numerical and arithmetic cognition Addresses recent work in quantitative and molecular genetics Works to improve instruction in numerical, arithmetical, and algebraic thinking and learning Informs policy to help increase the level of mathematical proficiency among the general public