An Introduction To Mathematical Cognition
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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.
The Handbook Of Mathematical Cognition
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Author : Jamie I.D. Campbell
language : en
Publisher: Psychology Press
Release Date : 2005-08-15
The Handbook Of Mathematical Cognition written by Jamie I.D. Campbell and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-15 with Psychology categories.
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.
Mathematical Cognition
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Author : James M. Royer
language : en
Publisher: IAP
Release Date : 2003-01-01
Mathematical Cognition written by James M. Royer and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-01 with Education categories.
Cognitive Foundations For Improving Mathematical Learning
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Author : David C. Geary
language : en
Publisher: Academic Press
Release Date : 2019-01-03
Cognitive Foundations For Improving Mathematical Learning written by David C. Geary and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-03 with Psychology categories.
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
Language And Culture In Mathematical Cognition
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Author : Daniel B. Berch
language : en
Publisher: Academic Press
Release Date : 2018-07-27
Language And Culture In 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 2018-07-27 with Psychology categories.
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
Numerical Cognition
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Author : Andre Knops
language : en
Publisher: Routledge
Release Date : 2019-12-10
Numerical Cognition written by Andre Knops and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-10 with Psychology categories.
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.
Mathematics And Cognition
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Author : Pearla Nesher
language : en
Publisher: CUP Archive
Release Date : 1990-02-23
Mathematics And Cognition written by Pearla Nesher and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-02-23 with Education categories.
This 1990 book is aimed at teachers, mathematics educators and general readers who are interested in mathematics education from a psychological point of view.
The Nature And Development Of Mathematics
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Author : John Adams
language : en
Publisher: Taylor & Francis
Release Date : 2017-04-21
The Nature And Development Of Mathematics written by John Adams and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-21 with Education categories.
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.
Learning Mathematics
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Author : Robert Benjamin Davis
language : en
Publisher:
Release Date : 1984
Learning Mathematics written by Robert Benjamin Davis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.
This book, based upon a seven-year study at the University of Illinois aims to evaluate the merits of teaching methods from classical techniques of memorisation to creative methodologies that build upon context and focus on understanding.
Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being
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Author : George Lakoff
language : en
Publisher:
Release Date : 2000-11-02
Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being written by George Lakoff and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-11-02 with Mathematics categories.
A study of the cognitive science of mathematical ideas.