Numerical Cognition Book

Numerical Cognition


  • Author : Andre Knops
  • Publisher : Routledge
  • Release Date : 2019-12-19
  • Genre: Psychology
  • Pages : 180
  • ISBN 10 : 9781000766455

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Numerical Cognition Excerpt :

Numerical Cognition: The Basics provides an understanding of the neural and cognitive mechanisms that enable us to perceive, process, and memorize numerical information. Starting from basic numerical competencies that humans share with other species, the book explores the mental coding of numbers and their neural representation. It explains the strategies of mental calculation, their pitfalls and their development, as well as the developmental steps children make while learning about numbers. The book gradually builds our understanding of the underlying mental processes of numeracy and concludes with an insightful examination of the diagnosis, etiology and treatment of dyscalculia. Written in an accessible manner, the book summarizes and critically evaluates the major psychological explanations for various empirical phenomena in numerical cognition. Containing a wealth of student-friendly features including end of chapter summaries, informative figures, further reading lists, and links to relevant websites, Numerical Cognition: The Basics is an essential starting point for anybody new to the field.

Heterogeneous Contributions to Numerical Cognition Book

Heterogeneous Contributions to Numerical Cognition


  • Author : Wim Fias
  • Publisher : Academic Press
  • Release Date : 2021-05-28
  • Genre: Medical
  • Pages : 422
  • ISBN 10 : 9780128174159

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Heterogeneous Contributions to Numerical Cognition Excerpt :

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

The Oxford Handbook of Numerical Cognition Book

The Oxford Handbook of Numerical Cognition


  • Author : Roi Kadosh
  • Publisher : OUP Oxford
  • Release Date : 2015-07-30
  • Genre: Psychology
  • Pages : 1144
  • ISBN 10 : 9780191036002

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The Oxford Handbook of Numerical Cognition Excerpt :

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 neuroscien

Understanding Emotions in Mathematical Thinking and Learning Book

Understanding Emotions in Mathematical Thinking and Learning


  • Author : Ulises Xolocotzin
  • Publisher : Academic Press
  • Release Date : 2017-05-12
  • Genre: Psychology
  • Pages : 474
  • ISBN 10 : 9780128024898

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Understanding Emotions in Mathematical Thinking and Learning Excerpt :

Emotions play a critical role in mathematical cognition and learning. Understanding Emotions in Mathematical Thinking and Learning offers a multidisciplinary approach to the role of emotions in numerical cognition, mathematics education, learning sciences, and affective sciences. It addresses ways in which emotions relate to cognitive processes involved in learning and doing mathematics, including processing of numerical and physical magnitudes (e.g. time and space), performance in arithmetic and algebra, problem solving and reasoning attitudes, learning technologies, and mathematics achievement. Additionally, it covers social and affective issues such as identity and attitudes toward mathematics. Covers methodologies in studying emotion in mathematical knowledge Reflects the diverse and innovative nature of the methodological approaches and theoretical frameworks proposed by current investigations of emotions and mathematical cognition Includes perspectives from cognitive experimental psychology, neuroscience, and from sociocultural, semiotic, and discursive approaches Explores the role of anxiety in mathematical learning Synthesizes unifies the work of multiple sub-disciplines in one place

Cognitive Foundations for Improving Mathematical Learning Book

Cognitive Foundations for Improving Mathematical Learning


  • Author : David C. Geary
  • Publisher : Academic Press
  • Release Date : 2019-01-30
  • Genre: Psychology
  • Pages : 378
  • ISBN 10 : 9780128159521

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Cognitive Foundations for Improving Mathematical Learning 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

Constructing Number Book

Constructing Number


  • Author : Anderson Norton
  • Publisher : Springer
  • Release Date : 2018-12-17
  • Genre: Education
  • Pages : 377
  • ISBN 10 : 9783030004910

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Constructing Number Excerpt :

The book synergizes research on number across two disciplines—mathematics education and psychology. The underlying problem the book addresses is how the brain constructs number. The opening chapter frames the problem in terms of children’s activity, including mental and physical actions. Subsequent chapters are organized into sections that address specific domains of number: natural numbers, fractions, and integers. Chapters within each section address ways that children build upon biological primitives (e.g., subitizing) and prior constructs (e.g., counting sequences) to construct number. The book relies on co-authored chapters and commentaries at the end of each section to create dialogue between junior faculty and senior researchers, as well as between psychologists and mathematics educators. The final chapter brings this work together around the framework of children’s activity and additional themes that arise in the collective work. The book is aimed to appeal to mathematics educators, mathematics teacher educators, mathematics education researchers, educational psychologists, cognitive psychologists, and developmental psychologists.

An Introduction to Mathematical Cognition Book

An Introduction to Mathematical Cognition


  • Author : Camilla Gilmore
  • Publisher : Routledge
  • Release Date : 2018-06-13
  • Genre: Psychology
  • Pages : 248
  • ISBN 10 : 9781317410102

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An Introduction to Mathematical Cognition Excerpt :

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.

Continuous Issues in Numerical Cognition Book

Continuous Issues in Numerical Cognition


  • Author : Avishai Henik
  • Publisher : Academic Press
  • Release Date : 2016-05-18
  • Genre: Psychology
  • Pages : 456
  • ISBN 10 : 9780128017937

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Continuous Issues in Numerical Cognition Excerpt :

Continuous Issues in Numerical Cognition: How Many or How Much re-examines the widely accepted view that there exists a core numerical system within human beings and an innate ability to perceive and count discrete quantities. This core knowledge involves the brain’s intraparietal sulcus, and a deficiency in this region has traditionally been thought to be the basis for arithmetic disability. However, new research findings suggest this wide agreement needs to be examined carefully and that perception of sizes and other non-countable amounts may be the true precursors of numerical ability. This cutting-edge book examines the possibility that perception and evaluation of non-countable dimensions may be involved in the development of numerical cognition. Discussions of the above and related issues 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. Serves as an innovative reference on the emerging field of numerical cognition and the branches that converge on this diverse topic Features chapters from leading researchers in the field Includes an overview of the multiple disciplines that comprise numerical cognition and discusses the measures that can be used in analysis Introduces novel ideas that connect non-countable continuous variables to numerical cognition

Heterogeneity of Function in Numerical Cognition Book

Heterogeneity of Function in Numerical Cognition


  • Author : Avishai Henik
  • Publisher : Academic Press
  • Release Date : 2018-05-17
  • Genre: Science
  • Pages : 480
  • ISBN 10 : 9780128115305

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Heterogeneity of Function in Numerical Cognition Excerpt :

Heterogeneity of Function in Numerical Cognition presents the latest updates on ongoing research and discussions regarding numerical cognition. With great individual differences in the development or function of numerical cognition at neuroanatomical, neuropsychological, behavioral, and interactional levels, these issues are important for the achievement of a comprehensive understanding of numerical cognition, hence its brain basis, development, breakdown in brain-injured individuals, and failures to master mathematical skills. These functions are essential for the proper development of numerical cognition. Provides an innovative reference on the emerging field of numerical cognition and the branches that converge on this diverse cognitive domain Includes an overview of the multiple disciplines that comprise numerical cognition Focuses on factors that influence numerical cognition, such as language, executive attention, memory and spatial processing Features an innovative organization with each section providing a general overview, developmental research, and evidence from neurocognitive studies

Mathematical Learning and Cognition in Early Childhood Book

Mathematical Learning and Cognition in Early Childhood


  • Author : Katherine M. Robinson
  • Publisher : Springer
  • Release Date : 2019-05-07
  • Genre: Psychology
  • Pages : 274
  • ISBN 10 : 9783030128951

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Mathematical Learning and Cognition in Early Childhood Excerpt :

This book explores mathematical learning and cognition in early childhood from interdisciplinary perspectives, including developmental psychology, neuroscience, cognitive psychology, and education. It examines how infants and young children develop numerical and mathematical skills, why some children struggle to acquire basic abilities, and how parents, caregivers, and early childhood educators can promote early mathematical development. The first section of the book focuses on infancy and toddlerhood with a particular emphasis on the home environment and how parents can foster early mathematical skills to prepare their children for formal schooling. The second section examines topics in preschool and kindergarten, such as the development of counting procedures and principles, the use of mathematics manipulatives in instruction, and the impacts of early intervention. The final part of the book focuses on particular instructional approaches in the elementary school years, such as different additive concepts, schema-based instruction, and methods of division. Chapters analyze the ways children learn to think about, work with, and master the language of mathematical concepts, as well as provide effective approaches to screening and intervention. Included among the topics: The relationship between early gender differences and future mathematical learning and participation. The connection between mathematical and computational thinking. Patterning abilities in young children. Supporting children with learning difficulties and intellectual disabilities. The effectiveness of tablets as elementary mathematics education tools. Mathematical Learning and Cognition in Early Childhood is an essential resource for researchers, graduate students, and professionals in infancy and early childhood development, child and school psychology, neuroscience, mathematics education, educational psychology, and social work.

The Oxford Handbook of Numerical Cognition Book

The Oxford Handbook of Numerical Cognition


  • Author : Roi Cohen Kadosh
  • Publisher : Oxford Library of Psychology
  • Release Date : 2015
  • Genre: Medical
  • Pages : 1217
  • ISBN 10 : 9780199642342

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The Oxford Handbook of Numerical Cognition Excerpt :

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 neuroscien

Evolutionary Origins and Early Development of Number Processing Book

Evolutionary Origins and Early Development of Number Processing


  • Author : David C. Geary
  • Publisher : Academic Press
  • Release Date : 2014-10-31
  • Genre: Education
  • Pages : 400
  • ISBN 10 : 0124201334

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Evolutionary Origins and Early Development of Number Processing Excerpt :

The first volume in this ground-breaking series focuses on the origins and early development of numerical cognition in non-human primates, lower vertebrates, human infants, and preschool children. The text will help readers understand the nature and complexity of these foundational quantitative concepts and skills along with evolutionary precursors and early developmental trajectories. Brings together and focuses the efforts and research of multiple disciplines working in math cognition. The contributors bring vast knowledge and experience to bear on resolving extant substantive and methodological challenges to help advance the field of basic number processing. Introductory sections and summaries will be included to provide background for non-specialist readers.

Handy numbers  finger counting and numerical cognition Book

Handy numbers finger counting and numerical cognition


  • Author : Frank Domahs
  • Publisher : Frontiers E-books
  • Release Date : 2023-01-31
  • Genre: Uncategoriezed
  • Pages : 106
  • ISBN 10 : 9782889190591

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Handy numbers finger counting and numerical cognition Excerpt :

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 perc

Acquisition of Complex Arithmetic Skills and Higher Order Mathematics Concepts Book

Acquisition of Complex Arithmetic Skills and Higher Order Mathematics Concepts


  • Author : David C. Geary
  • Publisher : Academic Press
  • Release Date : 2017-02-08
  • Genre: Psychology
  • Pages : 360
  • ISBN 10 : 9780128133682

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Acquisition of Complex Arithmetic Skills and Higher Order Mathematics Concepts Excerpt :

Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts focuses on typical and atypical learning of complex arithmetic skills and higher-order math concepts. As part of the series Mathematical Cognition and Learning, this volume covers recent advances in the understanding of children’s developing competencies with whole-number arithmetic, fractions, and rational numbers. Each chapter covers these topics from multiple perspectives, including genetic disorders, cognition, instruction, and neural networks. Covers innovative measures and recent methodological advances in mathematical thinking and learning Contains contributions that improve instruction and education in these domains Informs policy aimed at increasing the level of mathematical proficiency in the general public