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Learning And Education In Numerical Cognition

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Heterogeneous Contributions to Numerical Cognition

Heterogeneous Contributions to Numerical Cognition Book
Author : Wim Fias,Avishai Henik
Publisher : Elsevier
Release : 2021-06-10
ISBN : 0128174145
Language : En, Es, Fr & De

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Book Description :

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

Cognitive Foundations for Improving Mathematical Learning

Cognitive Foundations for Improving Mathematical Learning Book
Author : David C. Geary,Daniel B. Berch,Kathleen Mann Koepke
Publisher : Academic Press
Release : 2019-01-30
ISBN : 0128159529
Language : En, Es, Fr & De

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Book Description :

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

Heterogeneous Contributions to Numerical Cognition

Heterogeneous Contributions to Numerical Cognition Book
Author : Wim Fias,Avishai Henik
Publisher : Academic Press
Release : 2021-05-28
ISBN : 0128174153
Language : En, Es, Fr & De

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Book Description :

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

Development of Mathematical Cognition

Development of Mathematical Cognition Book
Author : Daniel B. Berch,David C. Geary,Kathleen Mann Koepke
Publisher : Academic Press
Release : 2015-10-03
ISBN : 0128019093
Language : En, Es, Fr & De

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Book Description :

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 Oxford Handbook of Numerical Cognition

The Oxford Handbook of Numerical Cognition Book
Author : Roi Kadosh,Ann Dowker
Publisher : Oxford University Press
Release : 2015-07-30
ISBN : 0191036013
Language : En, Es, Fr & De

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Book Description :

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.

Evolutionary Origins and Early Development of Number Processing

Evolutionary Origins and Early Development of Number Processing Book
Author : David C. Geary,Daniel B. Berch,Kathleen Mann Koepke
Publisher : Academic Press
Release : 2014-11-04
ISBN : 0128008881
Language : En, Es, Fr & De

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Book Description :

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.

Understanding Emotions in Mathematical Thinking and Learning

Understanding Emotions in Mathematical Thinking and Learning Book
Author : Ulises Xolocotzin
Publisher : Academic Press
Release : 2017-05-12
ISBN : 0128024895
Language : En, Es, Fr & De

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Book Description :

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

The Oxford Handbook of Numerical Cognition

The Oxford Handbook of Numerical Cognition Book
Author : Roi Cohen Kadosh,Ann Dowker
Publisher : Oxford University Press, USA
Release : 2015
ISBN : 0199642346
Language : En, Es, Fr & De

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Book Description :

Numbers are vital to so many areas of life: in science, economics, sports, education, and many aspects of everyday life from infancy onwards. This handbook brings together the different research areas that make up the vibrant field of numerical cognition in one comprehensive and authoritative volume.

Language and Culture in Mathematical Cognition

Language and Culture in Mathematical Cognition Book
Author : Daniel B. Berch,David C. Geary,Kathleen Mann Koepke
Publisher : Academic Press
Release : 2018
ISBN : 9780128125748
Language : En, Es, Fr & De

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Book Description :

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

The Oxford Handbook of Numerical Cognition

The Oxford Handbook of Numerical Cognition Book
Author : Roi Kadosh,Ann Dowker
Publisher : OUP Oxford
Release : 2015-07-30
ISBN : 0191036005
Language : En, Es, Fr & De

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Book Description :

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.

Acquisition of Complex Arithmetic Skills and Higher Order Mathematics Concepts

Acquisition of Complex Arithmetic Skills and Higher Order Mathematics Concepts Book
Author : David C. Geary,Daniel B. Berch,Robert Ochsendorf,Kathleen Mann Koepke
Publisher : Academic Press
Release : 2017-02-08
ISBN : 0128133686
Language : En, Es, Fr & De

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Book Description :

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

International Handbook of Mathematical Learning Difficulties

International Handbook of Mathematical Learning Difficulties Book
Author : Annemarie Fritz,Vitor Geraldi Haase,Pekka Räsänen
Publisher : Springer
Release : 2019-01-30
ISBN : 3319971484
Language : En, Es, Fr & De

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Book Description :

This comprehensive volume provides teachers, researchers and education professionals with cutting edge knowledge developed in the last decades by the educational, behavioural and neurosciences, integrating cognitive, developmental and socioeconomic approaches to deal with the problems children face in learning mathematics. The neurocognitive mechanisms and the cognitive processes underlying acquisition of arithmetic abilities and their significance for education have been the subject of intense research in the last few decades, but the most part of this research has been conducted in non-applied settings and there’s still a deep discrepancy between the level of scientific knowledge and its implementation into actual educational settings. Now it’s time to bring the results from the laboratory to the classroom. Apart from bringing the theoretical discussions to educational settings, the volume presents a wide range of methods for early detection of children with risks in mathematics learning and strategies to develop effective interventions based on innovative cognitive test instruments. It also provides insights to translate research knowledge into public policies in order to address socioeconomic issues. And it does so from an international perspective, dedicating a whole section to the cultural diversity of mathematics learning difficulties in different parts of the world. All of this makes the International Handbook of Mathematical Learning Difficulties an essential tool for those involved in the daily struggle to prepare the future generations to succeed in the global knowledge society.

Continuous Issues in Numerical Cognition

Continuous Issues in Numerical Cognition Book
Author : Avishai Henik
Publisher : Academic Press
Release : 2016-05-18
ISBN : 0128017937
Language : En, Es, Fr & De

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Book Description :

Continuous Issues in Numerical Cognition: How Many or How Much re-examines the widely accepted view that there exists a core numerical system within human beings and an innate ability to perceive and count discrete quantities. This core knowledge involves the brain’s intraparietal sulcus, and a deficiency in this region has traditionally been thought to be the basis for arithmetic disability. However, new research findings suggest this wide agreement needs to be examined carefully and that perception of sizes and other non-countable amounts may be the true precursors of numerical ability. This cutting-edge book examines the possibility that perception and evaluation of non-countable dimensions may be involved in the development of numerical cognition. Discussions of the above and related issues 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. Serves as an innovative reference on the emerging field of numerical cognition and the branches that converge on this diverse topic Features chapters from leading researchers in the field Includes an overview of the multiple disciplines that comprise numerical cognition and discusses the measures that can be used in analysis Introduces novel ideas that connect non-countable continuous variables to numerical cognition

The Nature and Development of Mathematics

The Nature and Development of Mathematics Book
Author : John Adams,Patrick Barmby,Alex Mesoudi
Publisher : Routledge
Release : 2017-04-21
ISBN : 1317300181
Language : En, Es, Fr & De

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Book Description :

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 Technologies and the Body

Learning Technologies and the Body Book
Author : Victor R. Lee
Publisher : Routledge
Release : 2014-11-27
ISBN : 1317679016
Language : En, Es, Fr & De

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Book Description :

This volume explores how technology-supported learning environments can incorporate physical activity and interactive experiences in formal education. It presents cutting-edge research and design work on a new generation of "body-centric" technologies such as wearable body sensors, GPS tracking devices, interactive display surfaces, video game controller devices, and humanlike avatars. Contributors discuss how and why each of these technologies can be used in service of learning within K-12 classrooms and at home, in museums and online. Citing examples of empirical evidence and specific implementation, this timely and critical volume examines how body responsive technologies are being used within the educational community to advance the next generation of educational technology.

Mathematical Learning and Cognition in Early Childhood

Mathematical Learning and Cognition in Early Childhood Book
Author : Katherine M. Robinson,Helena P. Osana,Donna Kotsopoulos
Publisher : Springer
Release : 2019-05-07
ISBN : 3030128954
Language : En, Es, Fr & De

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Book Description :

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.

Cognitive Science in Education and Alternative Teaching Strategies

Cognitive Science in Education and Alternative Teaching Strategies Book
Author : Boris Aberšek
Publisher : Cambridge Scholars Publishing
Release : 2017-06-20
ISBN : 1443896233
Language : En, Es, Fr & De

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Book Description :

Cognitive science deals with such questions as 'How do we think?' and 'How do we learn, memorize, dream?'. It tackles the subject of human mentality by connecting discoveries from a range of disciplines that shed light on cognitive occurrences and the learning process. Cognitive science unites the fields of neuroscience, psychology, philosophy, linguistics, artificial intelligence, and social sciences. This book, aimed mostly at teachers, will provoke cognitive dissonance and intellectual unease, as it explores cognitive theories and allows teachers to update and internalise their ‘in-head theories’, embedded from their own school years. In order for this to happen, this volume provides information on new experiences of alternative teaching practices. Creating conditions for gaining these teaching experiences is the primary function and fundamental mission of politics in the field of education.

Dual Process Theories of Numerical Cognition

Dual Process Theories of Numerical Cognition Book
Author : Mario Graziano
Publisher : Springer
Release : 2018-08-12
ISBN : 3319967975
Language : En, Es, Fr & De

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Book Description :

This book presents a philosophical interpretation to numerical cognition based on dual process theories and heuristics. It shows how investigations in cognitive science can shed light on issues traditionally raised by philosophers of mathematics. The analysis will also help readers to better understand the relationship between current neuroscientific research and the philosophical reflection on mathematics. The author seeks to explain the acquisition of mathematical concepts. To accomplish this, he needs to answer two questions. How can the concepts of approximate numerosity become an object of thought that is so accessible to our consciousness? How are these concepts refined and specified in such a way as to become numbers? Unfortunately, there is currently no model that can truly demonstrate the role of language in the development of numerical skills starting from approximate pre-verbal skills. However, the author details a solution to this problem: dual process theories. It is an approach widely used by theorists focusing on reasoning, decision making, social cognition, and consciousness. Here, he applies this approach to the studies on mathematical knowledge. He details the results brought about by psychological and neuroscientific studies conducted on numerical cognition by key neuroscientists. In the process, he develops the foundations of a new, potential philosophical explanation on mathematical knowledge.

Towards a Meaningful Instrumental Music Education Methods Perspectives and Challenges

Towards a Meaningful Instrumental Music Education  Methods  Perspectives  and Challenges Book
Author : Andrea Schiavio,Luc Nijs,Dylan van der Schyff,Marja-Leena Juntunen
Publisher : Frontiers Media SA
Release : 2021-01-18
ISBN : 2889663957
Language : En, Es, Fr & De

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Book Description :

Download Towards a Meaningful Instrumental Music Education Methods Perspectives and Challenges book written by Andrea Schiavio,Luc Nijs,Dylan van der Schyff,Marja-Leena Juntunen, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Neuro cognitive Architecture of Numerical Cognition and Its Development

Neuro cognitive Architecture of Numerical Cognition and Its Development Book
Author : Elise Klein,Korbinian Moeller,Reuven Babai,Anja Ischebeck
Publisher : Frontiers Media SA
Release : 2021-06-29
ISBN : 2889669203
Language : En, Es, Fr & De

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Book Description :

Download Neuro cognitive Architecture of Numerical Cognition and Its Development book written by Elise Klein,Korbinian Moeller,Reuven Babai,Anja Ischebeck, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.