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.

Development of Mathematical Cognition Book

Development of Mathematical Cognition


  • Author : Daniel Berch
  • Publisher : Academic Press
  • Release Date : 2015-11-01
  • Genre: Uncategoriezed
  • Pages : 414
  • ISBN 10 : 0128018712

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Development of Mathematical Cognition Excerpt :

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

The Handbook of Mathematical Cognition Book

The Handbook of Mathematical Cognition


  • Author : Jamie I.D. Campbell
  • Publisher : Psychology Press
  • Release Date : 2005-08-15
  • Genre: Psychology
  • Pages : 528
  • ISBN 10 : 9781135423650

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The Handbook of Mathematical Cognition Excerpt :

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.

Interdisciplinary Perspectives on Math Cognition Book

Interdisciplinary Perspectives on Math Cognition


  • Author : Marcel Danesi
  • Publisher : Springer Nature
  • Release Date : 2019-09-14
  • Genre: Mathematics
  • Pages : 344
  • ISBN 10 : 9783030225377

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Interdisciplinary Perspectives on Math Cognition Excerpt :

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.

Cognitive Foundations for Improving Mathematical Learning Book

Cognitive Foundations for Improving Mathematical Learning


  • Author : David C. Geary
  • Publisher : Academic Press
  • Release Date : 2019-01-03
  • Genre: Psychology
  • Pages : 377
  • ISBN 10 : 9780128159538

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Cognitive Foundations for Improving Mathematical Learning Excerpt :

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

Mathematical Cognition Book
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Mathematical Cognition


  • Author : James M. Royer
  • Publisher : IAP
  • Release Date : 2003-01-01
  • Genre: Education
  • Pages : 273
  • ISBN 10 : 9781607527961

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Mathematical Cognition Excerpt :

Development of Mathematical Cognition Book

Development of Mathematical Cognition


  • Author : Daniel B. Berch
  • Publisher : Academic Press
  • Release Date : 2015-10-03
  • Genre: Psychology
  • Pages : 414
  • ISBN 10 : 9780128019092

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Development of Mathematical Cognition Excerpt :

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

Language and Culture in Mathematical Cognition Book

Language and Culture in Mathematical Cognition


  • Author : Daniel B. Berch
  • Publisher : Academic Press
  • Release Date : 2018-07-27
  • Genre: Psychology
  • Pages : 364
  • ISBN 10 : 9780128125755

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Language and Culture in Mathematical Cognition Excerpt :

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 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.

Cultural Development of Mathematical Ideas Book

Cultural Development of Mathematical Ideas


  • Author : Geoffrey B. Saxe
  • Publisher : Cambridge University Press
  • Release Date : 2012-09-28
  • Genre: Psychology
  • Pages : null
  • ISBN 10 : 9781139560238

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Cultural Development of Mathematical Ideas Excerpt :

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.

Mathematics and Cognition Book

Mathematics and Cognition


  • Author : Pearla Nesher
  • Publisher : CUP Archive
  • Release Date : 1990-02-23
  • Genre: Mathematics
  • Pages : 234
  • ISBN 10 : 0521367875

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Mathematics and Cognition Excerpt :

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

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

Culture and Cognitive Development Book

Culture and Cognitive Development


  • Author : Geoffrey B. Saxe
  • Publisher : Psychology Press
  • Release Date : 2015-01-28
  • Genre: Psychology
  • Pages : 222
  • ISBN 10 : 9781317728085

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Culture and Cognitive Development Excerpt :

Researchers examining children's mathematics acquisition are now questioning the belief that children learn mathematics principally through formalized, in-school mathematics education. There is increasing evidence that children gain mathematical understanding through their participation in out-of-school cultural practices and that their mathematics only occasionally resembles what they learn in the classroom. Culture and Cognitive Development presents the latest research by Dr. Geoffrey Saxe on this issue. In examinations of the mathematical understandings of child candy sellers in an urban center in northeastern Brazil, Dr. Saxe finds sharp contrasts between mathematics as practiced in school and in real-world settings. In this unique research project he presents a penetrating conceptual treatment of the interplay between culture and cognitive development, filling a void in current research literature. Subjects examined include: the interplay between sociocultural and cognitive developmental processes the differences between math knowledge learned in and out of the classroom the ways math learning in the classroom is modified by children's out-of-school mathematics and, correspondingly, how practical out-of-school mathematics use is modified by formal education

Handbook of Mathematical Cognition Book

Handbook of Mathematical Cognition


  • Author : Jamie I. D. Campbell
  • Publisher : Psychology Press
  • Release Date : 2005
  • Genre: Mathematics
  • Pages : 528
  • ISBN 10 : 9781841694115

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Handbook of Mathematical Cognition Excerpt :

First Published in 2005. Routledge is an imprint of Taylor & Francis, an informa company.

The Development of Arithmetic Concepts and Skills Book

The Development of Arithmetic Concepts and Skills


  • Author : Arthur J. Baroody
  • Publisher : Routledge
  • Release Date : 2013-06-17
  • Genre: Education
  • Pages : 520
  • ISBN 10 : 9781135672225

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The Development of Arithmetic Concepts and Skills Excerpt :

This volume focuses on two related questions that are central to both the psychology of mathematical thinking and learning and to the improvement of mathematics education: What is the nature of arithmetic expertise? How can instruction best promote it? Contributors from a variety of specialities, including cognitive, developmental, educational, and neurological psychology; mathematics education; and special education offer theoretical perspectives and much needed empirical evidence about these issues. As reported in this volume, both theory and research indicate that the nature of arithmetic expertise and how to best promote it are far more complex than conventional wisdom and many scholars, past and present, have suggested. The results of psychological, educational, and clinical studies using a wide range of arithmetic tasks and populations (including "normally" and atypically developing children, non-injured and brain-injured adults, and savants) all point to the same conclusion: The heart of arithmetic fluency, in general, and the flexible and creative use of strategies, in particular, is what is termed "adaptive expertise" (meaningful or conceptually based knowledge). The construction of adaptive expertise in mathematics is, for the first time, examined across various arithmetic topics and age groups. This book will be an invaluable resource for researchers and graduate students interested in mathematical cognition and learning (including mathematics educators, developmental and educational psychologists, and neuropsychologists), educators (including teachers, curriculum supervisors, and school administrators), and others interested in improving arithmetic instruction (including officials in national and local education departments, the media, and parents).