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Development of Mathematical Cognition

Development of Mathematical Cognition
  • Author : Daniel B. Berch,David C. Geary,Kathleen Mann Koepke
  • Publisher :Unknown
  • Release Date :2015-10-03
  • Total pages :414
  • ISBN : 9780128019092
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Summary : 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

Handbook of Mathematical Cognition

Handbook of Mathematical Cognition
  • Author : Jamie I. D. Campbell
  • Publisher :Unknown
  • Release Date :2005
  • Total pages :508
  • ISBN : 9781841694115
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Summary : Forlagsomtale: This collection of 27 chapters by leading researchers provides a state-of-the-art reference for mathematical cognition research

Development of Mathematical Cognition

Development of Mathematical Cognition
  • Author : Daniel B. Berch,David C. Geary,Kathleen Mann Koepke
  • Publisher :Unknown
  • Release Date :2015-10-03
  • Total pages :414
  • ISBN : 9780128019092
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Summary : 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
  • Author : Camilla Gilmore,Silke M. Göbel,Matthew Inglis
  • Publisher :Unknown
  • Release Date :2018-06-13
  • Total pages :248
  • ISBN : 9781317410102
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Summary : 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.

Language and Culture in Mathematical Cognition

Language and Culture in Mathematical Cognition
  • Author : Daniel B. Berch,David C. Geary,Kathleen Mann Koepke
  • Publisher :Unknown
  • Release Date :2018
  • Total pages :364
  • ISBN : 0128125748
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Summary : The fourth volume in the Mathematical and Cognition and Learning series 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 as contrasted with reading direction, the influence of Head Start programs on the learning on symbolic numerical skills in preschool dual-language learners, mathematical skills of children with specific language impairments, the role of culture and language in creating associations between number and space, electrophysiological studies of linguistic traces in core knowledge at the neural level, and how studying an indigenous body counting system can reveal the interplay between cultural and linguistic processes in children's mathematical development. Includes cutting-edge findings, innovative measures, recent methodological advances, and ground-breaking theoretical developments Synthesizes research from various sub-domains of math cognition research Covers the full complement of research in mathematical thinking and learning Informs researchers, scholars, educators, students, and policymakers

Cognitive Foundations for Improving Mathematical Learning

Cognitive Foundations for Improving Mathematical Learning
  • Author : David C. Geary,Daniel B. Berch,Kathleen Mann Koepke
  • Publisher :Unknown
  • Release Date :2019-01-30
  • Total pages :378
  • ISBN : 9780128159521
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Summary : 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

Mathematical Learning and Cognition in Early Childhood

Mathematical Learning and Cognition in Early Childhood
  • Author : Katherine M. Robinson,Helena P. Osana,Donna Kotsopoulos
  • Publisher :Unknown
  • Release Date :2019
  • Total pages :229
  • ISBN : 3030128970
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Summary : 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.

Abstract Mathematical Cognition

Abstract Mathematical Cognition
  • Author : Wolfgang Grodd,Philippe Chassy
  • Publisher :Unknown
  • Release Date :2016-08-09
  • Total pages :229
  • ISBN : 9782889198160
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Summary : 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.

Exam Prep for: Development of Mathematical Cognition

Exam Prep for: Development of Mathematical Cognition
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :2021
  • Total pages :229
  • ISBN : 1230987654XX
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Summary :

The Nature and Development of Mathematics

The Nature and Development of Mathematics
  • Author : John Adams,Patrick Barmby,Alex Mesoudi
  • Publisher :Unknown
  • Release Date :2017-04-21
  • Total pages :244
  • ISBN : 9781317300199
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Summary : 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.

Mathematical Cognition

Mathematical Cognition
  • Author : James M. Royer
  • Publisher :Unknown
  • Release Date :2003-01-01
  • Total pages :273
  • ISBN : 9781607527961
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Summary :

Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts

Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts
  • Author : David C. Geary,Daniel B. Berch,Robert Ochsendorf,Kathleen Mann Koepke
  • Publisher :Unknown
  • Release Date :2017-02-08
  • Total pages :360
  • ISBN : 9780128133682
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Summary : 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

Heterogeneity of Function in Numerical Cognition

Heterogeneity of Function in Numerical Cognition
  • Author : Avishai Henik,Wim Fias
  • Publisher :Unknown
  • Release Date :2018-05-17
  • Total pages :480
  • ISBN : 9780128115305
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Summary : 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

Evolutionary Origins and Early Development of Number Processing

Evolutionary Origins and Early Development of Number Processing
  • Author : David C. Geary,Daniel B. Berch,Kathleen Mann Koepke
  • Publisher :Unknown
  • Release Date :2014-11-04
  • Total pages :400
  • ISBN : 9780128008881
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Summary : 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.

Mathematics and Cognition

Mathematics and Cognition
  • Author : Pearla Nesher,Jeremy Kilpatrick
  • Publisher :Unknown
  • Release Date :1990-02-23
  • Total pages :180
  • ISBN : 0521367875
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Summary : This 1990 book is aimed at teachers, mathematics educators and general readers who are interested in mathematics education from a psychological point of view.

Numerical Cognition

Numerical Cognition
  • Author : Andre Knops
  • Publisher :Unknown
  • Release Date :2019-12-19
  • Total pages :180
  • ISBN : 9781000766455
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Summary : 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.

The Oxford Handbook of Numerical Cognition

The Oxford Handbook of Numerical Cognition
  • Author : Roi Kadosh,Ann Dowker
  • Publisher :Unknown
  • Release Date :2015-07-30
  • Total pages :1144
  • ISBN : 9780191036002
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Summary : 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.

Mathematical and Scientific Development in Early Childhood

Mathematical and Scientific Development in Early Childhood
  • Author : National Research Council,Division of Behavioral and Social Sciences and Education,Center for Education,Board on Science Education,Mathematical Sciences Education Board
  • Publisher :Unknown
  • Release Date :2005-01-23
  • Total pages :54
  • ISBN : 9780309095037
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Summary : Expectations for early learning are very different than they were even as recently as a decade ago. With increased recognition of the intellectual capacities of young children, as well as a growing understanding of how these capacities develop and can be fostered, has come a growing recognition that early childhood education, in both formal and informal settings, may not be helping all children maximize their cognitive capacities. Mathematical and Scientific Development in Early Childhood explores the research in cognition and developmental psychology that sheds light on children's capacity to learn mathematical and scientific ideas. This summary report of the discussions and presentations at the workshop is designed to frame the issues relevant to advancing research useful to the development of research-based curricula for mathematics and science for young children.

Foundations of Geometric Cognition

Foundations of Geometric Cognition
  • Author : Mateusz Hohol
  • Publisher :Unknown
  • Release Date :2019-09-12
  • Total pages :188
  • ISBN : 9780429508592
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Summary : The cognitive foundations of geometry have puzzled academics for a long time, and even today are mostly unknown to many scholars, including mathematical cognition researchers. Foundations of Geometric Cognition shows that basic geometric skills are deeply hardwired in the visuospatial cognitive capacities of our brains, namely spatial navigation and object recognition. These capacities, shared with non-human animals and appearing in early stages of the human ontogeny, cannot, however, fully explain a uniquely human form of geometric cognition. In the book, Hohol argues that Euclidean geometry would not be possible without the human capacity to create and use abstract concepts, demonstrating how language and diagrams provide cognitive scaffolding for abstract geometric thinking, within a context of a Euclidean system of thought. Taking an interdisciplinary approach and drawing on research from diverse fields including psychology, cognitive science, and mathematics, this book is a must-read for cognitive psychologists and cognitive scientists of mathematics, alongside anyone interested in mathematical education or the philosophical and historical aspects of geometry.

Understanding Emotions in Mathematical Thinking and Learning

Understanding Emotions in Mathematical Thinking and Learning
  • Author : Ulises Xolocotzin
  • Publisher :Unknown
  • Release Date :2017-05-12
  • Total pages :474
  • ISBN : 9780128024898
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Summary : Emotions play a critical role in mathematical cognition and learning. Understanding Emotions in Mathematical Thinking and Learning offers a multidisciplinary approach to the role of emotions in numerical cognition, mathematics education, learning sciences, and affective sciences. It addresses ways in which emotions relate to cognitive processes involved in learning and doing mathematics, including processing of numerical and physical magnitudes (e.g. time and space), performance in arithmetic and algebra, problem solving and reasoning attitudes, learning technologies, and mathematics achievement. Additionally, it covers social and affective issues such as identity and attitudes toward mathematics. Covers methodologies in studying emotion in mathematical knowledge Reflects the diverse and innovative nature of the methodological approaches and theoretical frameworks proposed by current investigations of emotions and mathematical cognition Includes perspectives from cognitive experimental psychology, neuroscience, and from sociocultural, semiotic, and discursive approaches Explores the role of anxiety in mathematical learning Synthesizes unifies the work of multiple sub-disciplines in one place

Interdisciplinary Perspectives on Math Cognition

Interdisciplinary Perspectives on Math Cognition
  • Author : Marcel Danesi
  • Publisher :Unknown
  • Release Date :2019-09-14
  • Total pages :344
  • ISBN : 9783030225377
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Summary : 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.