Handy Numbers Finger Counting And Numerical Cognition
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Handy Numbers Finger Counting And Numerical Cognition
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Author : Frank Domahs
language : en
Publisher: Frontiers E-books
Release Date :
Handy Numbers Finger Counting And Numerical Cognition written by Frank Domahs and has been published by Frontiers E-books this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
We are born with a “number sense” - the ability to respond to numerosity, which we share with other vertebrates. This inherited numerosity representation is approximate and follows the Weber-Fechner law that governs sensory perception. As educated adults we can also use culturally developed abstract symbol systems to represent exact numerosities – in particular number words and Arabic numbers. This developmental stage is preceded by an apparently transient phase of finger counting and finger calculation. In fact, the use of fingers to represent number is ubiquitous across ages and cultures. Children use finger counting even if they are discouraged to do so, sometimes even before they are able to utter the number word sequence. Furthermore, finger counting strategies may also be used by adults diagnosed with dyscalculia to make up for a deficient or absent mental number representation. The advantages of finger counting are evident: Fingers are readily available and perceptually salient, finger-numerical representations support short term memory and they provide a transparent one-to-one relationship between to-be-counted objects and their representation. Obviously, however, these advantages only hold for small numbers. Fully transparent finger counting systems are limited to the number range between zero and ten. Larger numbers can only be represented in perceptually less salient or symbolic ways. In recent years, a growing body of evidence has suggested that finger-based representations of number do not form an arbitrary and transient stage of cognitive development. Rather, they seem to provide a good example of embodied cognition. According to this influential viewpoint, all of our knowledge is represented together with the sensory and motor activity that was present during its acquisition. As a consequence, even a supposedly abstract cognitive ability such as numerical cognition reuses the neural substrate and inherits functional properties of more basic perceptual and/or motor processes. Consistent with this assumption, finger counting habits and numerical processing do interact even in educated adults, casting doubts on purely abstract accounts of mental number representations. The objective of this Research Topic is to document embodiment signatures in number processing and calculation – a domain of cognition that was long considered to epitomize the abstract symbol manipulation approach to human cognition. To this end, we invite empirical contributions using different methodologies including behavioural, developmental, neuroscientific, educational, cross-cultural, and neuropsychological studies. Moreover, we also seek theoretical contributions, review articles, or opinion papers. Questions to be tackled may include, but are not restricted to the following: Is finger counting only a useful or even a necessary step towards the acquisition of symbolic number representations? What are the neural correlates of the finger-number relationship? Which features of finger counting influence adult number processing – both approximate and exact? How can finger counting systems be classified typologically and how do different finger counting systems influence numerical cognition across cultures and populations? Should finger counting and finger calculation be promoted or discouraged in maths education? How are disturbances of finger gnosis and numerical abilities linked? We hope that this Research Topic will bring together researchers from different backgrounds to fruitfully discuss a topic which has both scientific and every-day relevance.
Neuro Cognitive Architecture Of Numerical Cognition And Its Development
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Author : Elise Klein
language : en
Publisher: Frontiers Media SA
Release Date : 2021-06-29
Neuro Cognitive Architecture Of Numerical Cognition And Its Development written by Elise Klein 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 2021-06-29 with Science categories.
Enabling Mathematics Learning Of Struggling Students
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Author : Yan Ping Xin
language : en
Publisher: Springer Nature
Release Date : 2022-07-11
Enabling Mathematics Learning Of Struggling Students written by Yan Ping Xin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-11 with Education categories.
This book provides prospective and practicing teachers with research insights into the mathematical difficulties of students with learning disabilities and classroom practices that address these difficulties. This linkage between research and practice celebrates teachers as learners of their own students’ mathematical thinking, thus contributing an alternative view of mathematical progression in which students are taught conceptually. The research-based volume presents a unique collaboration among researchers in special education, psychology, and mathematics education from around the world. It reflects an ongoing work by members of the International Group for the Psychology of Mathematics Education (PME) and the North American Chapter of the PME Working Groups. The authors of chapters in this book, who have been collaborating extensively over the past 7 years, are from Australia, Canada, the United Kingdom, and the United States.
Conceptual And Interactive Embodiment
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Author : Martin H. Fischer
language : en
Publisher: Routledge
Release Date : 2015-12-22
Conceptual And Interactive Embodiment written by Martin H. Fischer and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-22 with Psychology categories.
This two-volume set provides a comprehensive overview of the multidisciplinary field of Embodied Cognition. With contributions from internationally acknowledged researchers from a variety of fields, Foundations of Embodied Cognition reveals how intelligent behaviour emerges from the interplay between brain, body and environment. Drawing on the most recent theoretical and empirical findings in embodied cognition, Volume 2 Conceptual and Interactive Embodiment is divided into four distinct parts, bringing together a number of influential perspectives and new ideas. Part one introduces the field of embodied language processing, before part two presents recent developments in our understanding of embodied conceptual understanding. The final two parts look at the applied nature of embodied cognition, exploring the embodied nature of social co-ordination as well as the emerging field of artificial embodiment. Building on the idea that knowledge acquisition, retention and retrieval are intimately interconnected with sensory and motor processes, Foundations of Embodied Cognition is a landmark publication in the field. It will be of great interest to researchers and advanced students from across the cognitive sciences, including those specialising in psychology, neuroscience, intelligent systems and robotics, philosophy, linguistics and anthropology.
The Neurobiology Of Brain And Behavioral Development
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Author : Robbin Gibb
language : en
Publisher: Academic Press
Release Date : 2017-11-02
The Neurobiology Of Brain And Behavioral Development written by Robbin Gibb and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-02 with Science categories.
The Neurobiology of Brain and Behavioral Development provides an overview of the process of brain development, including recent discoveries on how the brain develops. This book collates and integrates these findings, weaving the latest information with core information on the neurobiology of brain development. It focuses on cortical development, but also features discussions on how the other parts of the brain wire into the developing cerebral cortex. A systems approach is used to describe the anatomical underpinnings of behavioral development, connecting anatomical and molecular features of brain development with behavioral development. The disruptors of typical brain development are discussed in appropriate sections, as is the science of epigenetics that presents a novel and instructive approach on how experiences, both individual and intergenerational, can alter features of brain development. What distinguishes this book from others in the field is its focus on both molecular mechanisms and behavioral outcomes. This body of knowledge contributes to our understanding of the fundamentals of brain plasticity and metaplasticity, both of which are also showcased in this book. Provides an up-to-date overview of the process of brain development that is suitable for use as a university textbook at an early graduate or senior undergraduate level Breadth from molecular level (Chapters 5-7) to the behavioral/cognitive level (Chapters 8-12), beginning with Chapters 1-4 providing a historical context of the ideas Integrates the neurobiology of brain development and behavior, promoting the idea that animal models inform human development Presents an emphasis on the role of epigenetics and brain plasticity in brain development and behavior
Pathways To Number
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Author : Jacqueline Bideaud
language : en
Publisher: Psychology Press
Release Date : 1992
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 1992 with Number concept in children categories.
First Published in 1992. Routledge is an imprint of Taylor & Francis, an informa company.
Embodied Cognition Over The Lifespan And In Applied Settings
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Author : Annalisa Setti
language : en
Publisher: Frontiers Media SA
Release Date : 2018-06-11
Embodied Cognition Over The Lifespan And In Applied Settings written by Annalisa Setti 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 2018-06-11 with categories.
While Embodied Cognition has now been accepted as mainstream in Cognitive Science, the study of its potential contribution to understding child developemnt and ageing, as well as its potential applications, is still in its infancy. This collection of articles explores the contribution of Embodied Cognition to studying the lifespan and potential applied fields. The contributions are theoretical and empirical and offer an important framework for future research and its applications.
Embodied Numeracy
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Author : Kyle Morrissey
language : en
Publisher:
Release Date : 2019
Embodied Numeracy written by Kyle Morrissey and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.
Finger counting is a very clear example of embodied cognition, as finger-number gestures form an external symbolic representation of numbers, while simultaneously existing as a culturally acquired motor behaviour, and even a type of communicative tool. Finger counting habits typically assist in the acquisition of early number concepts and in the development of arithmetic competence. Recent research now also shows that finger-related processes are longitudinally linked to numerical performance and continue to share overlap in their neural underpinnings well into adulthood. This work suggests that the mental representation of number magnitude is not entirely abstract, and is at least partly rooted in embodied experiences and situational demands, including those posed by culturally-acquired finger counting habits. This dissertation is an investigation of individual differences in the cross-cultural, intra-cultural, and contextual effects of finger counting on mathematical cognition. These investigations each converge on the idea that finger counting habits do influence cognitive processes related to numeracy. The starting hand, or hand typically used to start counting, appears to be a particularly important correlate of numerical performance among Canadians. However, the effects of finger counting processes on adults' cognition do appear to vary as a function of participants' typical culturally-acquired finger counting habits, as well as through experimental context. The ultimate goal of this program of research is to examine how individual differences in finger counting habits and early cultural experience may be used in order to construct more detailed models of embodied numeracy, which will improve our understanding of the scope of embodied numeracy.
Numerical Development From Cognitive Functions To Neural Underpinnings
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Author : Korbinian Moeller
language : en
Publisher: Frontiers Media SA
Release Date : 2015-02-24
Numerical Development From Cognitive Functions To Neural Underpinnings written by Korbinian Moeller 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 2015-02-24 with Functions categories.
Living at the beginning of the 21st century requires being numerate, because numerical abilities are not only essential for life prospects of individuals but also for economic interests of post-industrial knowledge societies. Thus, numerical development is at the core of both individual as well as societal interests. There is the notion that we are already born with a very basic ability to deal with small numerosities. Yet, this often called “number sense” seems to be very restricted, approximate, and driven by perceptual constraints. During our numerical development in formal (e.g., school) but also informal contexts (e.g., family, street) we acquire culturally developed abstract symbol systems to represent exact numerosities – in particular number words and Arabic digits – refining our numerical capabilities. In recent years, numerical development has gained increasing research interest documented in a growing number of behavioural, neuro-scientific, educational, cross-cultural, and neuropsychological studies addressing this issue. Additionally, our understanding of how numerical competencies develop has also benefitted considerably from the advent of different neuro-imaging techniques allowing for an evaluation of developmental changes in the human brain. In sum, we are now starting to put together a more and more coherent picture of how numerical competencies develop and how this development is associated with neural changes as well. In the end, this knowledge might also lead to a better understanding of the reasons for atypical numerical development which often has grieve consequences for those who suffer from developmental dyscalculia or mathematics learning disabilities. Therefore, this Research Topic deals with all aspects of numerical development: findings from behavioural performance to underlying neural substrates, from cross-sectional to longitudinal evaluations, from healthy to clinical populations. To this end, we included empirical contributions using different experimental methodologies, but also theoretical contributions, review articles, or opinion papers.
Numerical Cognition And The Epistemology Of Arithmetic
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Author : Markus Pantsar
language : en
Publisher: Cambridge University Press
Release Date : 2024-03-31
Numerical Cognition And The Epistemology Of Arithmetic written by Markus Pantsar and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-31 with Science categories.
The first book-length philosophical account of arithmetical knowledge that is based on the state-of-the-art empirical studies of numerical cognition.