The Cognitive Neuroscience Of Mathematics
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An Introduction To Mathematical Cognition
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Author : Camilla Gilmore
language : en
Publisher: Routledge
Release Date : 2018-06-13
An Introduction To Mathematical Cognition written by Camilla Gilmore and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-13 with Psychology categories.
The last decade has seen a rapid growth in our understanding of the cognitive systems that underlie mathematical learning and performance, and an increased recognition of the importance of this topic. This book showcases international research on the most important cognitive issues that affect mathematical performance across a wide age range, from early childhood to adulthood. The book considers the foundational competencies of nonsymbolic and symbolic number processing before discussing arithmetic, conceptual understanding, individual differences and dyscalculia, algebra, number systems, reasoning and higher-level mathematics such as formal proof. Drawing on diverse methodology from behavioural experiments to brain imaging, each chapter discusses key theories and empirical findings and introduces key tasks used by researchers. The final chapter discusses challenges facing the future development of the field of mathematical cognition and reviews a set of open questions that mathematical cognition researchers should address to move the field forward. This book is ideal for undergraduate or graduate students of psychology, education, cognitive sciences, cognitive neuroscience and other academic and clinical audiences including mathematics educators and educational psychologists.
Heterogeneous Contributions To Numerical Cognition
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Author : Wim Fias
language : en
Publisher: Academic Press
Release Date : 2021-05-28
Heterogeneous Contributions To Numerical Cognition written by Wim Fias and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-28 with Medical categories.
Arithmetic disability stems from deficits in neurodevelopment, with great individual differences in development or function of an individual at neuroanatomical, neuropsychological, behavioral, and interactional levels. Heterogeneous Contributions to Numerical Cognition: Learning and Education in Mathematical Cognition examines research in mathematical education methods and their neurodevelopmental basis, focusing on the underlying neurodevelopmental features that must be taken into account when teaching and learning mathematics. Cognitive domains and functions such as executive functions, memory, attention, and language contribute to numerical cognition and are essential for its proper development. These lines of research and thinking in neuroscience are discussed in this book to further the understanding of the neurodevelopmental and cognitive basis of more complex forms of mathematics – and how to best teach them. By unravelling the basic building blocks of numerical thinking and the developmental basis of human capacity for arithmetic, this book and the discussions within are important for the achievement of a comprehensive understanding of numerical cognition, its brain basis, development, breakdown in brain-injured individuals, and failures to master mathematical skills. A novel innovative reference on the emerging field of numerical cognition and neurodevelopment underlying mathematical education Includes an overview of the multiple disciplines that comprise numerical cognition written by world-leading researchers in the numerical cognition and neurodevelopment fields Features an innovative organization with each section providing a general overview, developmental research, neurocognitive mechanisms, and discussion about relevant studies
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
Neuroscience Of Mathematical Cognitive Development
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Author : Rhonda Douglas Brown
language : en
Publisher: Springer
Release Date : 2018-04-13
Neuroscience Of Mathematical Cognitive Development written by Rhonda Douglas Brown and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-13 with Psychology categories.
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.
The Cognitive Neuroscience Of Mathematics
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Author : Robert Emerson
language : en
Publisher:
Release Date : 2014
The Cognitive Neuroscience Of Mathematics written by Robert Emerson 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.
"Living in today's society demands a functional control of math. Recent research suggests that adult mathematical skill is founded on an ontogenetically early emerging number sense, or ability to approximately estimate quantities. This ability is shared with many species, suggesting it represents a core and primitive approximate number system (ANS). Neuroimaging research in both monkeys and humans has linked the ANS to the to the neural responses of the intraparietal sulcus (IPS). As children mature, learn to count and calculate, the BOLD responses of the IPS bear the ratio-dependent signature of the approximate number system. These neural responses show longitudinal profiles that suggest the ANS is relatively stable and sharpens its numerical representations across development in a way that predict their behavioral performance (Emerson & Cantlon, 2014). Children also show math-specific functional connections between the IPS and areas of frontal cortex (Emerson & Cantlon, 2012). This suggests that the IPS plays a role in fine-tuning number and math skills during development. In adults, we have observed a segregation of number-related processes vs other quantitative processes (size/brightness) in the IPS. Regions of the IPS that show a selective response to number overlap with regions that show a ratio-dependent response profile, defining the right IPS as an area of the brain that supports non-verbal numerical skill. Furthermore, we find that cortical thickness correlates with scores on standardized math assessments (SAT) in an area of the right IPS, overlapping regions that are functionally related to number skill. In other words, anatomical and functional variability in the IPS is related to both the ANS and math skill in typical adults. When we tested this region in people with advanced math training, we observed both a heightened neural response to numerical ratio as well as significantly thinner cortex in the depth of the IPS. Compared to typical adults, experts are showing a stronger response of the ANS as well as thinner cortex in a region that correlates with math skills in non-experts (Emerson, Vo, Lussier, Kurtz, & Cantlon, submitted). Taken together, these data converge on the conclusion that our uniquely human ability to use symbolic arithmetic is critically linked to our primitive approximate number skill through a shared neural substrate in the intraparietal sulcus"--Pages v-vi.
Space Time And Number In The Brain
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Author : Stanislas Dehaene
language : en
Publisher: Academic Press
Release Date : 2011-07-13
Space Time And Number In The Brain written by Stanislas Dehaene and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-13 with Psychology 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
The Mathematical Brain Across The Lifespan
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Author :
language : en
Publisher: Elsevier
Release Date : 2016-06-20
The Mathematical Brain Across The Lifespan written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-20 with Science categories.
The Mathematical Brain Across the Lifespan is the latest volume in the Progress in Brain Research series that focuses on new trends and developments. This established international series examines major areas of basic and clinical research within the neurosciences, as well as popular and emerging subfields. Provides a comprehensive review of the most recent progress in the mathematical brain across the lifespan Explores new trends and developments in the field Enhances the literature of neuroscience by further expanding the established, ongoing international series Progress in Brain Research
Cognitive Neuroscience And Mathematics Learning
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Author : Roland H. Grabner
language : en
Publisher:
Release Date : 2010
Cognitive Neuroscience And Mathematics Learning written by Roland H. Grabner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
Cognitive Science And Mathematics Education
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Author : Alan H. Schoenfeld
language : en
Publisher: Routledge
Release Date : 2013-04-03
Cognitive Science And Mathematics Education written by Alan H. Schoenfeld 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.
This volume is a result of mathematicians, cognitive scientists, mathematics educators, and classroom teachers combining their efforts to help address issues of importance to classroom instruction in mathematics. In so doing, the contributors provide a general introduction to fundamental ideas in cognitive science, plus an overview of cognitive theory and its direct implications for mathematics education. A practical, no-nonsense attempt to bring recent research within reach for practicing teachers, this book also raises many issues for cognitive researchers to consider.
Advances In Cognitive Neuroscience Of Numerical And Mathematical Processing
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Author : Filip Van Opstal
language : en
Publisher: Frontiers Media SA
Release Date : 2012-09-12
Advances In Cognitive Neuroscience Of Numerical And Mathematical Processing written by Filip Van Opstal 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 2012-09-12 with categories.
In this special issue, the most recent advances in the domain of numerical cognition will be presented. During the last decades, our understanding of how numbers are processed increased dramatically with the arrival of different imaging techniques and neurophysiological experiments in humans and monkeys. We are now starting to build up a clearer picture of how numbers are represented in the brain, how this representation develops in the course of a lifetime, how numbers are embedded in other cognitive features like attention, spatial memory, etc., and how this eventually leads to our capability to perform complex mathematics. Ultimately, this accumulation of knowledge might provide us with an understanding of why numbers are problematic for some people. This special issue deals with all aspects of numerical cognition: findings on the basic neural responses to magnitudes, the link between numbers, space, time, attention, action, etc., mathematical processing, numerical development, in healthy and clinical populations. This special issue solicits contributions from the field of neurobiology, neuropsychology, and behavioral and computational neuroscience that will increase our understanding of the neural mechanisms underlying numerical cognition