Processing Symbolic Numerical Information And Its Implications For Mathematics Learning

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Processing Symbolic Numerical Information and its Implications for Mathematics Learning

Author : Ricardo Moura,Julia Bahnmueller,Vitor Geraldi Haase,Júlia Beatriz Lopes-Silva,Korbinian Moeller
Publisher : Frontiers Media SA
Page : 230 pages
File Size : 48,9 Mb
Release : 2022-06-21
Category : Science
ISBN : 9782889761586

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Processing Symbolic Numerical Information and its Implications for Mathematics Learning by Ricardo Moura,Julia Bahnmueller,Vitor Geraldi Haase,Júlia Beatriz Lopes-Silva,Korbinian Moeller Pdf

Approximate Number System and Mathematics

Author : Jingguang Li,Xinlin Zhou,Marcus Lindskog
Publisher : Frontiers Media SA
Page : 176 pages
File Size : 41,9 Mb
Release : 2019-11-25
Category : Electronic
ISBN : 9782889632084

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Approximate Number System and Mathematics by Jingguang Li,Xinlin Zhou,Marcus Lindskog Pdf

Humans process quantity information without the aid of language or symbols to guide a variety of everyday life decisions. The cognitive system that supports this intuitive skill is often referred to as the approximate number system (ANS). It has been argued that the ANS serves as the foundation of the formal symbolic number system—mathematics. Abundant empirical evidence is supportive of this view: acuity of the ANS is positively correlated with symbolic math performance, training of the ANS may cause improvements in symbolic math performance, and the ANS and symbolic number processing may share a common neural underpinning. However, recently several theories and empirical data cast doubt on the role of the ANS in symbolic math processing. This e-book aims to advance our understanding of the underlying mechanisms of the overlap between the ANS and mathematics.

Mathematics Anxiety

Author : Irene C. Mammarella,Sara Caviola,Ann Dowker
Publisher : Routledge
Page : 228 pages
File Size : 42,7 Mb
Release : 2019-02-18
Category : Psychology
ISBN : 9780429578236

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Mathematics Anxiety by Irene C. Mammarella,Sara Caviola,Ann Dowker Pdf

Feelings of apprehension and fear brought on by mathematical performance can affect correct mathematical application and can influence the achievement and future paths of individuals affected by it. In recent years, mathematics anxiety has become a subject of increasing interest both in educational and clinical settings. This ground-breaking collection presents theoretical, educational and psychophysiological perspectives on the widespread phenomenon of mathematics anxiety. Featuring contributions from leading international researchers, Mathematics Anxiety challenges preconceptions and clarifies several crucial areas of research, such as the distinction between mathematics anxiety from other forms of anxiety (i.e., general or test anxiety); the ways in which mathematics anxiety has been assessed (e.g. throughout self-report questionnaires or psychophysiological measures); the need to clarify the direction of the relationship between math anxiety and mathematics achievement (which causes which). Offering a revaluation of the negative connotations usually associated with mathematics anxiety and prompting avenues for future research, this book will be invaluable to academics and students in the field psychological and educational sciences, as well as teachers working with students who are struggling with mathematics anxiety

Advances in Cognitive Neuroscience of Numerical and Mathematical Processing

Author : Filip Van Opstal,Seppe Santens,Daniel Ansari
Publisher : Frontiers Media SA
Page : 124 pages
File Size : 40,6 Mb
Release : 2012-09-12
Category : Electronic
ISBN : 9782889190461

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Advances in Cognitive Neuroscience of Numerical and Mathematical Processing by Filip Van Opstal,Seppe Santens,Daniel Ansari Pdf

In this special issue, the most recent advances in the domain of numerical cognition will be presented. During the last decades, our understanding of how numbers are processed increased dramatically with the arrival of different imaging techniques and neurophysiological experiments in humans and monkeys. We are now starting to build up a clearer picture of how numbers are represented in the brain, how this representation develops in the course of a lifetime, how numbers are embedded in other cognitive features like attention, spatial memory, etc., and how this eventually leads to our capability to perform complex mathematics. Ultimately, this accumulation of knowledge might provide us with an understanding of why numbers are problematic for some people. This special issue deals with all aspects of numerical cognition: findings on the basic neural responses to magnitudes, the link between numbers, space, time, attention, action, etc., mathematical processing, numerical development, in healthy and clinical populations. This special issue solicits contributions from the field of neurobiology, neuropsychology, and behavioral and computational neuroscience that will increase our understanding of the neural mechanisms underlying numerical cognition

Handbook of Cognitive Mathematics

Author : Marcel Danesi
Publisher : Springer Nature
Page : 1392 pages
File Size : 41,5 Mb
Release : 2022-10-31
Category : Mathematics
ISBN : 9783031039454

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Handbook of Cognitive Mathematics by Marcel Danesi Pdf

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.

The Oxford Handbook of Cultural Neuroscience and Global Mental Health

Author : Joan Y. Chiao,Shu Chen Li,Robert Turner,Su Yeon Lee-Tauler,Beverly Pringle
Publisher : Oxford University Press
Page : 673 pages
File Size : 40,6 Mb
Release : 2022-02-28
Category : Medical
ISBN : 9780190057695

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The Oxford Handbook of Cultural Neuroscience and Global Mental Health by Joan Y. Chiao,Shu Chen Li,Robert Turner,Su Yeon Lee-Tauler,Beverly Pringle Pdf

"The Oxford Handbook of Cultural Neuroscience and Global Mental Health provides a substantive and in-depth overview of the study of cultural neuroscience and global mental health. Theory, methods and evidence-based practices are reviewed and integrated across themes that identify ethical, scientific, and health care issues for distinct populations across nations. The international research collaboration in the field of cultural neuroscience and global mental health provides research and training opportunities for global mental health researchers. Future research and training in the field seeks the achievement of the amelioration of disease and fulfillment of the goal to alleviate the unmet societal needs due to the global burden of disease"--

The Routledge International Handbook of Dyscalculia and Mathematical Learning Difficulties

Author : Steve Chinn
Publisher : Routledge
Page : 488 pages
File Size : 47,9 Mb
Release : 2014-11-20
Category : Education
ISBN : 9781317581000

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The Routledge International Handbook of Dyscalculia and Mathematical Learning Difficulties by Steve Chinn Pdf

Mathematics plays an important part in every person’s life, so why isn’t everyone good at it? The Routledge International Handbook of Dyscalculia and Mathematical Learning Difficulties brings together commissioned pieces by a range of hand-picked influential, international authors from a variety of disciplines, all of whom share a high public profile. More than fifty experts write about mathematics learning difficulties and disabilities from a range of perspectives and answer questions such as: What are mathematics learning difficulties and disabilities? What are the key skills and concepts for learning mathematics? How will IT help, now and in the future? What is the role of language and vocabulary? How should we teach mathematics? By posing notoriously difficult questions such as these and studying the answers The Routledge International Handbook of Dyscalculia and Mathematical Learning Difficulties is the authoritative volume and is essential reading for academics in the field of mathematics. It is an incredibly important contribution to the study of dyscalculia and mathematical difficulties in children and young adults.

The Mathematical Brain Across the Lifespan

Author : Anonim
Publisher : Elsevier
Page : 416 pages
File Size : 49,8 Mb
Release : 2016-06-20
Category : Medical
ISBN : 9780444637024

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The Mathematical Brain Across the Lifespan by Anonim Pdf

The Mathematical Brain Across the Lifespan is the latest volume in the Progress in Brain Research series that focuses on new trends and developments. This established international series examines major areas of basic and clinical research within the neurosciences, as well as popular and emerging subfields. Provides a comprehensive review of the most recent progress in the mathematical brain across the lifespan Explores new trends and developments in the field Enhances the literature of neuroscience by further expanding the established, ongoing international series Progress in Brain Research

The Oxford Handbook of Numerical Cognition

Author : Roi Cohen Kadosh,Ann Dowker
Publisher : Oxford Library of Psychology
Page : 1217 pages
File Size : 55,9 Mb
Release : 2015
Category : Medical
ISBN : 9780199642342

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The Oxford Handbook of Numerical Cognition by Roi Cohen Kadosh,Ann Dowker Pdf

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.

International Handbook of Mathematical Learning Difficulties

Author : Annemarie Fritz,Vitor Geraldi Haase,Pekka Räsänen
Publisher : Springer
Page : 834 pages
File Size : 54,8 Mb
Release : 2019-01-30
Category : Education
ISBN : 9783319971483

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International Handbook of Mathematical Learning Difficulties by Annemarie Fritz,Vitor Geraldi Haase,Pekka Räsänen Pdf

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.

Reading, Writing, Mathematics and the Developing Brain: Listening to Many Voices

Author : Zvia Breznitz,Orly Rubinsten,Victoria J. Molfese,Dennis L. Molfese
Publisher : Springer Science & Business Media
Page : 333 pages
File Size : 43,6 Mb
Release : 2012-06-01
Category : Psychology
ISBN : 9789400740860

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Reading, Writing, Mathematics and the Developing Brain: Listening to Many Voices by Zvia Breznitz,Orly Rubinsten,Victoria J. Molfese,Dennis L. Molfese Pdf

This valuable addition to the literature offers readers a comprehensive overview of recent brain imaging research focused on reading, writing and mathematics—a research arena characterized by rapid advances that follow on the heels of fresh developments and techniques in brain imaging itself. With contributions from many of the lead scientists in this field, a number of whom have been responsible for key breakthroughs, the coverage deals with the commonalities of, as well as the differences between, brain activity related to the three core educational topics. At the same time, the volume addresses vital new information on both brain and behavior indicators of developmental problems, and points out the new directions being pursued using current advances in brain imaging technologies as well as research-based interventions. The book is also a tribute to a new Edmund, J Safra Brain center for the study of learning Disabilities at the University of Haifa-Israel.

Psychology and Mathematics Education

Author : Gila Hanna,Laura Macchi,Karin Binder,Laura Martignon,Katharina Loibl
Publisher : Frontiers Media SA
Page : 552 pages
File Size : 53,7 Mb
Release : 2023-09-05
Category : Science
ISBN : 9782832529997

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Psychology and Mathematics Education by Gila Hanna,Laura Macchi,Karin Binder,Laura Martignon,Katharina Loibl Pdf

Modern Mathematics is constructed rigorously through proofs, based on truths, which are either axioms or previously proven theorems. Thus, it is par excellence a model of rational inquiry. Links between Cognitive Psychology and Mathematics Education have been particularly strong during the last decades. Indeed, the Enlightenment view of the rational human mind that reasons, makes decisions and solves problems based on logic and probabilities, was shaken during the second half of the twentieth century. Cognitive psychologists discovered that humans' thoughts and actions often deviate from rules imposed by strict normative theories of inference. Yet, these deviations should not be called "errors": as Cognitive Psychologists have demonstrated, these deviations may be either valid heuristics that succeed in the environments in which humans have evolved, or biases that are caused by a lack of adaptation to abstract information formats. Humans, as the cognitive psychologist and economist Herbert Simon claimed, do not usually optimize, but rather satisfice, even when solving problem. This Research Topic aims at demonstrating that these insights have had a decisive impact on Mathematics Education. We want to stress that we are concerned with the view of bounded rationality that is different from the one espoused by the heuristics-and-biases program. In Simon’s bounded rationality and its direct descendant ecological rationality, rationality is understood in terms of cognitive success in the world (correspondence) rather than in terms of conformity to content-free norms of coherence (e.g., transitivity).

The Origins of Mathematical Knowledge in Childhood

Author : Catherine Sophian
Publisher : Routledge
Page : 219 pages
File Size : 49,7 Mb
Release : 2017-09-25
Category : Education
ISBN : 9781351541749

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The Origins of Mathematical Knowledge in Childhood by Catherine Sophian Pdf

This book examines the origins and development of children's mathematical knowledge. It contrasts the widely held view that counting is the starting point for mathematical development with an alternative comparison-of-quantities position. According to the comparison-of-quantities position, the concept of number builds upon more basic concepts of equality, inequality, and less-than and greater-than relations, which derive from comparisons between unenumerated quantities such as lengths. The concept of number combines these basic comparative concepts with the concept of a unit of measure, which allows one quantity to be described as a multiple of another. Sophian examines these alternative accounts of children's developing mathematical knowledge in the light of research: on children's counting; on their reasoning about continuous quantities such as length and area; on the development of the concept of unit; on additive and multiplicative reasoning; and on knowledge about fractions. In the closing chapters, Sophian draws out the developmental and the educational implications of the research and theory presented. Developmentally, the comparison-of-quantities position undermines the idea that numerical knowledge develops through domain-specific learning mechanisms in that it links numerical development both to physical knowledge about objects, which is the starting point for the concept of unit, and to the acquisition of linguistic number terms. Instructionally, the comparison-of-quantities perspective diverges from the counting-first perspective in that it underscores the continuity between whole-number arithmetic and fraction learning that stems from the importance of the concept of unit for both. Building on this idea, Sophian advances three instructional recommendations: First, instruction about numbers should always be grounded in thinking about quantities and how numbers represent the relations between them; second, instruction in the early years should always be guided by a long-term perspective in which current objectives are shaped by an understanding of their role in the overall course of mathematics learning; and third, instruction should be directly toward promoting the acquisition of the most general mathematical knowledge possible. The Origins of Mathematical Knowledge in Childhood is intended for researchers, professionals, and graduate students in developmental psychology, educational psychology, and mathematics education, and as a supplementary text for advanced undergraduate courses in cognitive development, educational psychology, and mathematics education.

An Introduction to Mathematical Cognition

Author : Camilla Gilmore,Silke M. Göbel,Matthew Inglis
Publisher : Taylor & Francis
Page : 265 pages
File Size : 46,6 Mb
Release : 2018-06-13
Category : Psychology
ISBN : 9781317410119

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An Introduction to Mathematical Cognition by Camilla Gilmore,Silke M. Göbel,Matthew Inglis Pdf

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.