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Author : Jamie I. D. Campbell
Publisher : Psychology Press
Page : 528 pages
File Size : 54,6 Mb
Release : 2005
Category : Mathematics
ISBN : 9781841694115
First Published in 2005. Routledge is an imprint of Taylor & Francis, an informa company.
Author : Jamie I.D. Campbell
Publisher : Psychology Press
Page : 528 pages
File Size : 52,8 Mb
Release : 2005-08-15
Category : Psychology
ISBN : 9781135423650
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. The Handbook of Mathematical Cognition is a collection of 27 essays by leading researchers that provides a comprehensive review of this important research field.
Author : Marcel Danesi
Publisher : Springer Nature
Page : 1392 pages
File Size : 50,5 Mb
Release : 2022-10-31
Category : Mathematics
ISBN : 9783031039454
Cognitive mathematics provides insights into how mathematics works inside the brain and how it is interconnected with other faculties through so-called blending and other associative processes. This handbook is the first large collection of various aspects of cognitive mathematics to be amassed into a single title, covering decades of connection between mathematics and other figurative processes as they manifest themselves in language, art, and even algorithms. It will be of use to anyone working in math cognition and education, with each section of the handbook edited by an international leader in that field.
Author : Daniel B. Berch,David C. Geary,Kathleen Mann Koepke
Publisher : Academic Press
Page : 414 pages
File Size : 50,9 Mb
Release : 2015-10-03
Category : Psychology
ISBN : 9780128019092
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 : Roi Cohen Kadosh,Ann Dowker
Publisher : Oxford Library of Psychology
Page : 1217 pages
File Size : 52,7 Mb
Release : 2015
Category : Medical
ISBN : 9780199642342
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 neuroscience, computational modeling, education and individual differences, and philosophy. Containing more than 60 chapters by leading specialists in their fields, the Oxford Handbook of Numerical Cognition is a state-of-the-art review of the current literature.
Author : Camilla Gilmore,Silke M. Göbel,Matthew Inglis
Publisher : Routledge
Page : 248 pages
File Size : 49,8 Mb
Release : 2018-06-13
Category : Psychology
ISBN : 9781317410102
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 : Marcel Danesi
Publisher : Unknown
Page : 128 pages
File Size : 41,9 Mb
Release : 2021
Category : Mathematics
ISBN : 3030449823
Cognitive mathematics provides insights into how mathematics works inside the brain and how it is interconnected with other faculties through so-called blending and other associative processes. This handbook is the first large collection of various aspects of cognitive mathematics to be amassed into a single title, covering decades of connection between mathematics and other figurative processes as they manifest themselves in language, art, and even algorithms. It will be of use to anyone working in math cognition and education, with each section of the handbook edited by an international leader in that field.
Author : James M. Royer
Publisher : IAP
Page : 273 pages
File Size : 48,6 Mb
Release : 2003-01-01
Category : Education
ISBN : 9781607527961
Author : Jerome R. Busemeyer,Zheng Wang,James T. Townsend,Ami Eidels
Publisher : Oxford University Press
Page : 528 pages
File Size : 48,8 Mb
Release : 2015-03-20
Category : Psychology
ISBN : 9780199958009
This Oxford Handbook offers a comprehensive and authoritative review of important developments in computational and mathematical psychology. With chapters written by leading scientists across a variety of subdisciplines, it examines the field's influence on related research areas such as cognitive psychology, developmental psychology, clinical psychology, and neuroscience. The Handbook emphasizes examples and applications of the latest research, and will appeal to readers possessing various levels of modeling experience. The Oxford Handbook of Computational and mathematical Psychology covers the key developments in elementary cognitive mechanisms (signal detection, information processing, reinforcement learning), basic cognitive skills (perceptual judgment, categorization, episodic memory), higher-level cognition (Bayesian cognition, decision making, semantic memory, shape perception), modeling tools (Bayesian estimation and other new model comparison methods), and emerging new directions in computation and mathematical psychology (neurocognitive modeling, applications to clinical psychology, quantum cognition). The Handbook would make an ideal graduate-level textbook for courses in computational and mathematical psychology. Readers ranging from advanced undergraduates to experienced faculty members and researchers in virtually any area of psychology--including cognitive science and related social and behavioral sciences such as consumer behavior and communication--will find the text useful.
Author : James M. Royer
Publisher : Information Age Pub Incorporated
Page : 259 pages
File Size : 53,7 Mb
Release : 2003
Category : Education
ISBN : 1930608349
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 : David C. Geary,Daniel B. Berch,Kathleen Mann Koepke
Publisher : Academic Press
Page : 377 pages
File Size : 52,8 Mb
Release : 2019-01-03
Category : Psychology
ISBN : 9780128159538
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 : Koen Lamberts,Robert L. Goldstone
Publisher : SAGE
Page : 488 pages
File Size : 47,9 Mb
Release : 2005
Category : Psychology
ISBN : 0761972773
The Handbook of Cognition provides a definitive synthesis of the most up-to-date and advanced work in cognitive psychology in a single volume. The editors have gathered together a team of world-leading researchers in specialist areas of the field, both traditional and `hot' new areas, to present a benchmark - in terms of theoretical insight and advances in methodology - of the discipline. This book contains a thorough overview of the most significant and current research in cognitive psychology that will serve this academic community like no other volume.
Author : William H. Batchelder,Hans Colonius,Ehtibar N. Dzhafarov,Jay Myung
Publisher : Cambridge University Press
Page : 128 pages
File Size : 42,8 Mb
Release : 2016-12-15
Category : Psychology
ISBN : 9781316586266
The field of mathematical psychology began in the 1950s and includes both psychological theorizing, in which mathematics plays a key role, and applied mathematics, motivated by substantive problems in psychology. Central to its success was the publication of the first 'Handbook of Mathematical Psychology' in the 1960s. The psychological sciences have since expanded to include new areas of research, and significant advances have been made in both traditional psychological domains and in the applications of the computational sciences to psychology. Upholding the rigor of the first title in this field to be published, the New Handbook of Mathematical Psychology reflects the current state of the field by exploring the mathematical and computational foundations of new developments over the last half-century. This first volume focuses on select mathematical ideas, theories, and modeling approaches to form a foundational treatment of mathematical psychology.
Author : Daniel B. Berch,David C. Geary,Kathleen Mann Koepke
Publisher : Academic Press
Page : 366 pages
File Size : 48,6 Mb
Release : 2018-07-27
Category : Psychology
ISBN : 9780128125755
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 : Camilla Gilmore,Silke M. Göbel,Matthew Inglis
Publisher : Routledge
Page : 0 pages
File Size : 41,9 Mb
Release : 2018
Category : Cognition
ISBN : 1138923958
The book traces the development of mathematical skills from basic number concepts to mathematical proofs, emphasising the hierarchical nature of mathematical development from early childhood to research-level mathematics.