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Development Of Mathematical Cognition

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Development of Mathematical Cognition

Development of Mathematical Cognition Book
Author : Daniel B. Berch,David C. Geary,Kathleen Mann Koepke
Publisher : Academic Press
Release : 2015-10-03
ISBN : 0128019093
Language : En, Es, Fr & De

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Book Description :

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

An Introduction to Mathematical Cognition

An Introduction to Mathematical Cognition Book
Author : Camilla Gilmore,Silke M. Göbel,Matthew Inglis
Publisher : Routledge
Release : 2018-06-13
ISBN : 1317410106
Language : En, Es, Fr & De

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Book Description :

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.

Cultural Development of Mathematical Ideas

Cultural Development of Mathematical Ideas Book
Author : Geoffrey B. Saxe
Publisher : Cambridge University Press
Release : 2012-09-28
ISBN : 1139560239
Language : En, Es, Fr & De

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Book Description :

Drawing upon field studies conducted in 1978, 1980 and 2001 with the Oksapmin, a remote Papua New Guinea group, Geoffrey B. Saxe traces the emergence of new forms of numerical representations and ideas in the social history of the community. In traditional life, the Oksapmin used a counting system that makes use of twenty-seven parts of the body; there is no evidence that the group used arithmetic in prehistory. As practices of economic exchange and schooling have shifted, children and adults unwittingly reproduced and altered the system in order to solve new kinds of numerical and arithmetical problems, a process that has led to new forms of collective representations in the community. While Dr Saxe's focus is on the Oksapmin, the insights and general framework he provides are useful for understanding shifting representational forms and emerging cognitive functions in any human community.

Children s Logical and Mathematical Cognition

Children   s Logical and Mathematical Cognition Book
Author : C.J. Brainerd
Publisher : Springer Science & Business Media
Release : 2012-12-06
ISBN : 146139466X
Language : En, Es, Fr & De

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Book Description :

For some time now, the study of cognitive development has been far and away the most active discipline within developmental psychology. Although there would be much disagreement as to the exact proportion of papers published in developmen tal journals that could be considered cognitive, 50% seems like a conservative estimate. Hence, a series of scholarly books to be devoted to work in cognitive development is especially appropriate at this time. The Springer Series in Cognitive Development contains two basic types of books, namely, edited collections of original chapters by several authors, and original volumes written by one author or a small group of authors. The flagship for the Springer Series will be a serial publication of the "advances" type, carrying the subtitle Progress in Cognitive Development Research. Each volume in the Progress sequence will be strongly thematic, in that it will be limited to some well-defined domain of cognitive-developmental research (e. g. , logical and mathematical de velopment, semantic development). All Progress volumes will be edited collec tions. Editors of such collections, upon consultation with the Series Editor, may elect to have their books published either as contributions to the Progress sequence or as separate volumes. All books written by one author or a small group of authors will be published as separate volumes within the series. A fairly broad definition of cognitive development is being used in the selection of books for this series.

Cognitive Foundations for Improving Mathematical Learning

Cognitive Foundations for Improving Mathematical Learning Book
Author : David C. Geary,Daniel B. Berch,Kathleen Mann Koepke
Publisher : Academic Press
Release : 2019-01-30
ISBN : 0128159529
Language : En, Es, Fr & De

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Book Description :

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

Language and Culture in Mathematical Cognition

Language and Culture in Mathematical Cognition Book
Author : Daniel B. Berch,David C. Geary,Kathleen Mann Koepke
Publisher : Academic Press
Release : 2018-07-27
ISBN : 0128125756
Language : En, Es, Fr & De

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Book Description :

Language and Culture in Mathematical Cognition, First Edition focuses on the role of linguistic and cultural factors in math cognition and development. It covers a wide range of topics, including analogical mapping in numerical development, arithmetic fact retrieval in the bilingual brain, cross-cultural comparisons of mathematics achievement, the shaping of numerical processing by number word construction, the influence of Head Start programs, the mathematical skills of children with specific language impairments, the role of culture and language in creating associations between number and space, and electrophysiological studies of linguistic traces in core knowledge at the neural level. Includes cutting-edge findings, innovative measures, recent methodological advances and groundbreaking theoretical developments Synthesizes research from various subdomains of math cognition research Covers the full complement of research in mathematical thinking and learning Informs researchers, scholars, educators, students and policymakers

Children s Logical and Mathematical Cognition

Children s Logical and Mathematical Cognition Book
Author : Charles J. Brainerd
Publisher : Unknown
Release : 1982
ISBN : 9783540906353
Language : En, Es, Fr & De

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Book Description :

Download Children s Logical and Mathematical Cognition book written by Charles J. Brainerd, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Neuroscience of Mathematical Cognitive Development

Neuroscience of Mathematical Cognitive Development Book
Author : Rhonda Douglas Brown
Publisher : Springer
Release : 2018-04-13
ISBN : 3319764098
Language : En, Es, Fr & De

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Book Description :

​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.

Interdisciplinary Perspectives on Math Cognition

Interdisciplinary Perspectives on Math Cognition Book
Author : Marcel Danesi
Publisher : Springer Nature
Release : 2019-09-14
ISBN : 3030225372
Language : En, Es, Fr & De

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Book Description :

This is an anthology of contemporary studies from various disciplinary perspectives written by some of the world's most renowned experts in each of the areas of mathematics, neuroscience, psychology, linguistics, semiotics, education, and more. Its purpose is not to add merely to the accumulation of studies, but to show that math cognition is best approached from various disciplinary angles, with the goal of broadening the general understanding of mathematical cognition through the different theoretical threads that can be woven into an overall understanding. This volume will be of interest to mathematicians, cognitive scientists, educators of mathematics, philosophers of mathematics, semioticians, psychologists, linguists, anthropologists, and all other kinds of scholars who are interested in the nature, origin, and development of mathematical cognition.

Constructing Dynamic Triangles Together

Constructing Dynamic Triangles Together Book
Author : Anonim
Publisher : Unknown
Release : 2021-10-21
ISBN : 1107127912
Language : En, Es, Fr & De

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Book Description :

Download Constructing Dynamic Triangles Together book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Evolutionary Origins and Early Development of Number Processing

Evolutionary Origins and Early Development of Number Processing Book
Author : David C. Geary,Daniel B. Berch,Kathleen Mann Koepke
Publisher : Academic Press
Release : 2014-11-04
ISBN : 0128008881
Language : En, Es, Fr & De

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Book Description :

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.

Mathematical Cognition

Mathematical Cognition Book
Author : James M. Royer
Publisher : Information Age Pub Incorporated
Release : 2003
ISBN : 9781930608344
Language : En, Es, Fr & De

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Book Description :

This book deals addresses how the development of the human capacity for mathematical cognition occurs through educational experience. Chapters include: (1) "The Development of Math Competence in the Preschool and Early School Years: Cognitive Foundations and Instructional Strategies " (Sharon Griffin); (2) "Perspectives on Mathematics Strategy Development" (Martha Carr and Hillary Hettinger); (3) "Mathematical Problem Solving" (Richard E. Mayer); (4) "Learning Disabilities in Basic Mathematics: Deficits in Memory and Cognition" (David C. Geary and Mary K. Hoard); (5) "Relationships among Basic Computational Automaticity, Working Memory and Complex Mathematical Problem Solving: What We Know and What We Need to Know" (Loel T. Tronsky and James M. Royer); (6) "Mathematics Instruction: Cognitive, Affective and Existential Perspectives" (Allan Feldman); (7) "A Brief History of American K-12 Mathematics Education in the 20th Century" (David Klein); and (8) "Assessment in Mathematics: A Developmental Approach" (John Pegg). (Author/KHR).

Cognitive Development from a Strategy Perspective

Cognitive Development from a Strategy Perspective Book
Author : Patrick Lemaire
Publisher : Routledge
Release : 2017-09-21
ISBN : 1351779087
Language : En, Es, Fr & De

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Book Description :

Cognitive Development from a Strategy Perspective recognises the outstanding scientific legacy of Robert S. Siegler as a pioneer of modern research on cognitive development throughout the lifespan. This volume presents a collection of essays written by leading scholars in the field, using cutting-edge research to illustrate how Siegler’s work and ideas lay the groundwork for much of the modern studies on cognitive development. The collection includes chapters which examine strategic aspects of lifespan cognitive development, change mechanisms underlying cognitive development, and numeracy acquisition with emphasis given to the application of new strategies for education. It explores conceptual and methodological frameworks to best study and understand development during childhood and adulthood, and the role of foundational core knowledge on development and acquisition. These foundational issues are examined from various angles and finally integrated in a concluding panoramic chapter written by Siegler himself. Cognitive Development from a Strategy Perspective offers valuable reading for graduates and researchers in cognitive development and mathematical cognition, as well as those at the interface of psychology and education.

Acquisition of Complex Arithmetic Skills and Higher Order Mathematics Concepts

Acquisition of Complex Arithmetic Skills and Higher Order Mathematics Concepts Book
Author : David C. Geary,Daniel B. Berch,Robert Ochsendorf,Kathleen Mann Koepke
Publisher : Academic Press
Release : 2017-02-08
ISBN : 0128133686
Language : En, Es, Fr & De

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Book Description :

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

Heterogeneous Contributions to Numerical Cognition

Heterogeneous Contributions to Numerical Cognition Book
Author : Wim Fias,Avishai Henik
Publisher : Academic Press
Release : 2021-05-28
ISBN : 0128174153
Language : En, Es, Fr & De

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Book Description :

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 Nature and Development of Mathematics

The Nature and Development of Mathematics Book
Author : John Adams,Patrick Barmby,Alex Mesoudi
Publisher : Taylor & Francis
Release : 2017-04-21
ISBN : 131730019X
Language : En, Es, Fr & De

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Book Description :

From an infant’s first grasp of quantity to Einstein’s theory of relativity, the human experience of number has intrigued researchers for centuries. Numeracy and mathematics have played fundamental roles in the development of societies and civilisations, and yet there is an essential mystery to these concepts, evidenced by the fear many people still feel when confronted by apparently simple sums. Including perspectives from anthropology, education and psychology, The Nature and Development of Mathematics addresses three core questions: Is maths natural? What is the impact of our culture and environment on mathematical thinking? And how can we improve our mathematical ability? Examining the cognitive processes that we use, the origins of these skills and their cultural context, and how learning and teaching can be supported in the classroom, the book contextualises each issue within the wider field, arguing that only by taking a cross-disciplinary perspective can we fully understand what it means to be numerate, as well as how we become numerate in our modern world. This is a unique collection including contributions from a range of renowned international researchers. It will be of interest to students and researchers across cognitive psychology, cultural anthropology and educational research.

Abstract Mathematical Cognition

Abstract Mathematical Cognition Book
Author : Wolfgang Grodd,Philippe Chassy
Publisher : Frontiers Media SA
Release : 2016-08-09
ISBN : 2889198162
Language : En, Es, Fr & De

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Book Description :

Despite the importance of mathematics in our educational systems little is known about how abstract mathematical thinking emerges. Under the uniting thread of mathematical development, we hope to connect researchers from various backgrounds to provide an integrated view of abstract mathematical cognition. Much progress has been made in the last 20 years on how numeracy is acquired. Experimental psychology has brought to light the fact that numerical cognition stems from spatial cognition. The findings from neuroimaging and single cell recording experiments converge to show that numerical representations take place in the intraparietal sulcus. Further research has demonstrated that supplementary neural networks might be recruited to carry out subtasks; for example, the retrieval of arithmetic facts is done by the angular gyrus. Now that the neural networks in charge of basic mathematical cognition are identified, we can move onto the stage where we seek to understand how these basics skills are used to support the acquisition and use of abstract mathematical concepts.

Heterogeneous Contributions to Numerical Cognition

Heterogeneous Contributions to Numerical Cognition Book
Author : Wim Fias,Avishai Henik
Publisher : Elsevier
Release : 2021-06-10
ISBN : 0128174145
Language : En, Es, Fr & De

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Book Description :

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

Mathematical Cognition

Mathematical Cognition Book
Author : James M. Royer
Publisher : IAP
Release : 2003-01-01
ISBN : 1607527960
Language : En, Es, Fr & De

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Book Description :

Download Mathematical Cognition book written by James M. Royer, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Mathematical Reasoning

Mathematical Reasoning Book
Author : Lyn D. English
Publisher : Unknown
Release : 1998
ISBN : 9780863776038
Language : En, Es, Fr & De

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Book Description :

Many disciplines have shown the importance of mathematical reasoning in human learning and development. This study examines the cognitive science of mathematics, children's abilities to reason by analogy and with conceptual representations.