Numerical Development - From cognitive functions to neural underpinnings

Numerical Development - From cognitive functions to neural underpinnings

Author: Korbinian Moeller

Publisher: Frontiers Media SA

Published: 2015-02-24

Total Pages: 282

ISBN-13: 2889194248

DOWNLOAD EBOOK

Living at the beginning of the 21st century requires being numerate, because numerical abilities are not only essential for life prospects of individuals but also for economic interests of post-industrial knowledge societies. Thus, numerical development is at the core of both individual as well as societal interests. There is the notion that we are already born with a very basic ability to deal with small numerosities. Yet, this often called “number sense” seems to be very restricted, approximate, and driven by perceptual constraints. During our numerical development in formal (e.g., school) but also informal contexts (e.g., family, street) we acquire culturally developed abstract symbol systems to represent exact numerosities – in particular number words and Arabic digits – refining our numerical capabilities. In recent years, numerical development has gained increasing research interest documented in a growing number of behavioural, neuro-scientific, educational, cross-cultural, and neuropsychological studies addressing this issue. Additionally, our understanding of how numerical competencies develop has also benefitted considerably from the advent of different neuro-imaging techniques allowing for an evaluation of developmental changes in the human brain. In sum, we are now starting to put together a more and more coherent picture of how numerical competencies develop and how this development is associated with neural changes as well. In the end, this knowledge might also lead to a better understanding of the reasons for atypical numerical development which often has grieve consequences for those who suffer from developmental dyscalculia or mathematics learning disabilities. Therefore, this Research Topic deals with all aspects of numerical development: findings from behavioural performance to underlying neural substrates, from cross-sectional to longitudinal evaluations, from healthy to clinical populations. To this end, we included empirical contributions using different experimental methodologies, but also theoretical contributions, review articles, or opinion papers.


Mathematical Cognition

Mathematical Cognition

Author: Brian Butterworth

Publisher: Psychology Press

Published: 1996

Total Pages: 272

ISBN-13: 9780863774188

DOWNLOAD EBOOK

This volume is a collection of all papers published in Volume One of the journal "Mathematical Cognition". The aim of the journal is to provide a forum for explorations of how we understand mathematics and how we acquire and use mathematical concepts. The journal encourages an interdisciplinary approach to the field, and publishes advances in the study of the mental representation and use of mathematical concepts from a range of disciplines.; This first volume features contributions from cognitive psychology, developmental psychology, philosophy, neuroscience, education, computational modelling, and neuropsychology.


Numerical Cognition

Numerical Cognition

Author: Andre Knops

Publisher: Routledge

Published: 2019-12-10

Total Pages: 215

ISBN-13: 1000766454

DOWNLOAD EBOOK

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.


Linguistic Influences on Mathematical Cognition

Linguistic Influences on Mathematical Cognition

Author: Ann Dowker

Publisher: Frontiers Media SA

Published: 2017-06-16

Total Pages: 175

ISBN-13: 288945200X

DOWNLOAD EBOOK

For many years, an abstract, amodal semantic magnitude representation, largely independent of verbal linguistic representations, has been viewed as the core numerical or mathematical representation This assumption has been substantially challenged in recent years. Linguistic properties affect not only verbal representations of numbers,but also numerical magnitude representation, spatial magnitude representations, calculation, parity representation, place-value representation and even early number acquisition. Thus, we postulate that numerical and arithmetic processing are not fully independent of linguistic processing. This is not to say, that in patients, magnitude processing cannot function independently of linguistic processing we just suppose, these functions are connected in the functioning brain. So far, much research about linguistic influences on numerical cognition has simply demonstrated that language influences number without investigating the level at which a particular language influence operates. After an overview, we present new findings on language influences on seven language levels: - Conceptual: Conceptual properties of language - Syntactic: The grammatical structure of languages beyond the word level influences - Semantic: The semantic meaning or existence of words - Lexical: The lexical composition of words, in particular number words - Visuo-spatial-orthographic: Orthographic properties, such as the writing/reading direction of a language. - Phonological: Phonological/phonetic properties of languages - Other language-related skills: Verbal working memory and other cognitive skills related to language representations We hope that this book provides a new and structured overview on the exciting influences of linguistic processing on numerical cognition at almost all levels of language processing.


Development of Mathematical Cognition

Development of Mathematical Cognition

Author: Daniel B. Berch

Publisher: Academic Press

Published: 2015-10-03

Total Pages: 418

ISBN-13: 0128019093

DOWNLOAD EBOOK

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


Mathematical Difficulties

Mathematical Difficulties

Author:

Publisher: Elsevier

Published: 2008-07-25

Total Pages: 273

ISBN-13: 0080559778

DOWNLOAD EBOOK

This book examines the mathematical difficulties in typical and atypical populations. It discusses the behavioural, educational and neuropsychological characteristics of people with mathematical difficulties, and educational interventions to prevent, diagnose, treat or ameliorate such difficulties. The book brings together studies from different disciplines, including developmental psychology, neuroscience and education, and includes perspectives from practicing teachers.The book is divided into three major sections. The first includes chapters about the nature and characteristics of mathematical difficulties in the population as a whole, in relation to both psychology and education. The second deals with mathematical difficulties in children with other problems such as specific language impairment and dyslexia. The third discusses methods of interventions aimed at preventing, treating or ameliorating mathematical difficulties, and will include discussions of assessment and diagnosis.


Mathematical Cognition and Understanding

Mathematical Cognition and Understanding

Author: Katherine M. Robinson

Publisher: Springer Nature

Published: 2023-05-31

Total Pages: 285

ISBN-13: 3031291956

DOWNLOAD EBOOK

This book focuses on elementary and middle school children’s understanding of mathematics as well as the cognitive aspects involved in the development of mathematical knowledge, skills, and understanding. Children’s success in and understanding of mathematics stem from factors beyond the mathematics curriculum. Researchers are increasingly becoming aware of the necessity to consider a complex set of variables when accounting for large individual differences in mathematics achievement. These chapters contribute to how both researchers and educators can consider the multidimensionality of skills involved in developing mathematical knowledge in the middle school years as well as to how this knowledge can be used to enhance practices in the mathematics classroom. Topics include the cognitive and spatial skills involved in mathematics knowledge, the role of motivation in mathematics learning, the neurological processes and development of children’s mathematics skills, the development of understanding of arithmetic and fraction concepts, the factors relating to children’s word problem success, and techniques to promote mathematics understanding. This book and its companion, Mathematical Teaching and Learning, take an interdisciplinary perspective to mathematical learning and development in the elementary and middle school years. The authors and perspectives in this book draw from education, neuroscience, developmental psychology, and cognitive psychology. The book will be relevant to scholars/educators in the field of mathematics education and also those in childhood development and cognition. Each chapter also includes practical tips and implications for parents as well as for educators and researchers.


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

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

Author: Zvia Breznitz

Publisher: Springer Science & Business Media

Published: 2012-06-01

Total Pages: 333

ISBN-13: 9400740867

DOWNLOAD EBOOK

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.


Neuroscience of Cognitive Development

Neuroscience of Cognitive Development

Author: Charles A. Nelson

Publisher: John Wiley & Sons

Published: 2012-06-26

Total Pages: 192

ISBN-13: 0471785105

DOWNLOAD EBOOK

A new understanding of cognitive development from the perspective of neuroscience This book provides a state-of-the-art understanding of the neural bases of cognitive development. Although the field of developmental cognitive neuroscience is still in its infancy, the authors effectively demonstrate that our understanding of cognitive development is and will be vastly improved as the mechanisms underlying development are elucidated. The authors begin by establishing the value of considering neuroscience in order to understand child development and then provide an overview of brain development. They include a critical discussion of experience-dependent changes in the brain. The authors explore whether the mechanisms underlying developmental plasticity differ from those underlying adult plasticity, and more fundamentally, what distinguishes plasticity from development. Having armed the reader with key neuroscience basics, the book begins its examination of the neural bases of cognitive development by examining the methods employed by professionals in developmental cognitive neuroscience. Following a brief historical overview, the authors discuss behavioral, anatomic, metabolic, and electrophysiological methods. Finally, the book explores specific content areas, focusing on those areas where there is a significant body of knowledge on the neural underpinnings of cognitive development, including: * Declarative and non-declarative memory and learning * Spatial cognition * Object recognition * Social cognition * Speech and language development * Attention development For cognitive and developmental psychologists, as well as students in developmental psychology, neuroscience, and cognitive development, the authors' view of behavioral development from the perspective of neuroscience sheds new light on the mechanisms that underlie how the brain functions and how a child learns and behaves.