An Introduction To Mathematical Cognition

Author : Camilla Gilmore,Silke M. Göbel,Matthew Inglis
Publisher : Routledge
Page : 248 pages
File Size : 41,8 Mb
Release : 2018-06-13
Category : Psychology
ISBN : 9781317410102

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An Introduction to Mathematical Cognition by Camilla Gilmore,Silke M. Göbel,Matthew Inglis Pdf

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.

Author : Jamie I.D. Campbell
Publisher : Psychology Press
Page : 527 pages
File Size : 51,6 Mb
Release : 2005-08-15
Category : Psychology
ISBN : 9781135423667

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The Handbook of Mathematical Cognition by Jamie I.D. Campbell Pdf

How does the brain represent number and make mathematical calculations? What underlies the development of numerical and mathematical abilities? What factors affect the learning of numerical concepts and skills? What are the biological bases of number knowledge? Do humans and other animals share similar numerical representations and processes? What underlies numerical and mathematical disabilities and disorders, and what is the prognosis for rehabilitation? These questions are the domain of mathematical cognition, the field of research concerned with the cognitive and neurological processes that underlie numerical and mathematical abilities. TheHandbook of Mathematical Cognition is a collection of 27 essays by leading researchers that provides a comprehensive review of this important research field.

Author : James M. Royer
Publisher : IAP
Page : 273 pages
File Size : 50,8 Mb
Release : 2003-01-01
Category : Education
ISBN : 9781607527961

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Mathematical Cognition by James M. Royer Pdf

Author : Daniel B. Berch,David C. Geary,Kathleen Mann Koepke
Publisher : Academic Press
Page : 414 pages
File Size : 53,7 Mb
Release : 2015-10-03
Category : Psychology
ISBN : 9780128019092

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Development of Mathematical Cognition by Daniel B. Berch,David C. Geary,Kathleen Mann Koepke Pdf

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

Author : Camilla Gilmore,Silke M. Göbel,Matthew Inglis
Publisher : Taylor & Francis
Page : 265 pages
File Size : 42,8 Mb
Release : 2018-06-13
Category : Psychology
ISBN : 9781317410119

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An Introduction to Mathematical Cognition by Camilla Gilmore,Silke M. Göbel,Matthew Inglis Pdf

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.

Author : James M. Royer
Publisher : Information Age Pub Incorporated
Page : 259 pages
File Size : 50,7 Mb
Release : 2003
Category : Education
ISBN : 1930608349

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Mathematical Cognition by James M. Royer Pdf

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).

Author : Marcel Danesi
Publisher : Springer Nature
Page : 344 pages
File Size : 48,6 Mb
Release : 2019-09-14
Category : Mathematics
ISBN : 9783030225377

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Interdisciplinary Perspectives on Math Cognition by Marcel Danesi Pdf

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.

Author : Wim Fias,Avishai Henik
Publisher : Academic Press
Page : 422 pages
File Size : 45,8 Mb
Release : 2021-05-28
Category : Medical
ISBN : 9780128174159

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Heterogeneous Contributions to Numerical Cognition by Wim Fias,Avishai Henik Pdf

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

Author : David C. Geary,Daniel B. Berch,Kathleen Mann Koepke
Publisher : Academic Press
Page : 377 pages
File Size : 52,7 Mb
Release : 2019-01-03
Category : Psychology
ISBN : 9780128159538

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Cognitive Foundations for Improving Mathematical Learning by David C. Geary,Daniel B. Berch,Kathleen Mann Koepke Pdf

The fifth volume 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. The chapters cover the use of numerical play and games for improving foundational number knowledge as well as 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. The book goes on to examine 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 addresses issues associated with intervention fadeout. 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

Author : Sung Je Cho
Publisher : Springer
Page : 617 pages
File Size : 42,9 Mb
Release : 2015-02-10
Category : Education
ISBN : 9783319126883

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The Proceedings of the 12th International Congress on Mathematical Education by Sung Je Cho Pdf

This book comprises the Proceedings of the 12th International Congress on Mathematical Education (ICME-12), which was held at COEX in Seoul, Korea, from July 8th to 15th, 2012. ICME-12 brought together 3500 experts from 92 countries, working to understand all of the intellectual and attitudinal challenges in the subject of mathematics education as a multidisciplinary research and practice. This work aims to serve as a platform for deeper, more sensitive and more collaborative involvement of all major contributors towards educational improvement and in research on the nature of teaching and learning in mathematics education. It introduces the major activities of ICME-12 which have successfully contributed to the sustainable development of mathematics education across the world. The program provides food for thought and inspiration for practice for everyone with an interest in mathematics education and makes an essential reference for teacher educators, curriculum developers and researchers in mathematics education. The work includes the texts of the four plenary lectures and three plenary panels and reports of three survey groups, five National presentations, the abstracts of fifty one Regular lectures, reports of thirty seven Topic Study Groups and seventeen Discussion Groups.

Author : Daniel B. Berch,David C. Geary,Kathleen Mann Koepke
Publisher : Academic Press
Page : 366 pages
File Size : 55,6 Mb
Release : 2018-07-27
Category : Psychology
ISBN : 9780128125755

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Language and Culture in Mathematical Cognition by Daniel B. Berch,David C. Geary,Kathleen Mann Koepke Pdf

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

Author : Joseph W. Houpt,Leslie M. Blaha
Publisher : Routledge
Page : 288 pages
File Size : 41,9 Mb
Release : 2016-05-20
Category : Psychology
ISBN : 9781317297482

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Mathematical Models of Perception and Cognition Volume II by Joseph W. Houpt,Leslie M. Blaha Pdf

In this two volume festschrift, contributors explore the theoretical developments (Volume I) and applications (Volume II) in traditional cognitive psychology domains, and model other areas of human performance that benefit from rigorous mathematical approaches. It brings together former classmates, students and colleagues of Dr. James T. Townsend, a pioneering researcher in the field since the early 1960s, to provide a current overview of mathematical modeling in psychology. Townsend’s research critically emphasized a need for rigor in the practice of cognitive modeling, and for providing mathematical definition and structure to ill-defined psychological topics. The research captured demonstrates how the interplay of theory and application, bridged by rigorous mathematics, can move cognitive modeling forward.

Author : Katherine M. Robinson,Helena P. Osana,Donna Kotsopoulos
Publisher : Springer
Page : 274 pages
File Size : 41,8 Mb
Release : 2019-05-07
Category : Psychology
ISBN : 9783030128951

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Mathematical Learning and Cognition in Early Childhood by Katherine M. Robinson,Helena P. Osana,Donna Kotsopoulos Pdf

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.

Author : Pearla Nesher,Jeremy Kilpatrick
Publisher : CUP Archive
Page : 234 pages
File Size : 54,7 Mb
Release : 1990-02-23
Category : Education
ISBN : 0521367875

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Mathematics and Cognition by Pearla Nesher,Jeremy Kilpatrick Pdf

This 1990 book is aimed at teachers, mathematics educators and general readers who are interested in mathematics education from a psychological point of view.

Author : Daniel Sutherland
Publisher : Cambridge University Press
Page : 317 pages
File Size : 43,9 Mb
Release : 2021-10-28
Category : Mathematics
ISBN : 9781108429962

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Kant's Mathematical World by Daniel Sutherland Pdf

An explanation of the foundations of Kant's philosophy of mathematics and its connection to his account of human experience.