Approximate Number System and Mathematics

Approximate Number System and Mathematics PDF Author: Jingguang Li
Publisher: Frontiers Media SA
ISBN: 2889632083
Category :
Languages : en
Pages : 176

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Book Description
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.

Approximate Number System and Mathematics

Approximate Number System and Mathematics PDF Author: Jingguang Li
Publisher: Frontiers Media SA
ISBN: 2889632083
Category :
Languages : en
Pages : 176

Get Book

Book Description
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.

The Functional and Neural Mechanisms of Numerosity Processing: From Perception to Cognition

The Functional and Neural Mechanisms of Numerosity Processing: From Perception to Cognition PDF Author: Michele Fornaciai
Publisher: Frontiers Media SA
ISBN: 2889760464
Category : Science
Languages : en
Pages : 123

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Book Description


Simulation Fidelity and Numerosity Effects in CDTI Experimentation

Simulation Fidelity and Numerosity Effects in CDTI Experimentation PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 22

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Book Description


Processing Symbolic Numerical Information and its Implications for Mathematics Learning

Processing Symbolic Numerical Information and its Implications for Mathematics Learning PDF Author: Ricardo Moura
Publisher: Frontiers Media SA
ISBN: 2889761584
Category : Science
Languages : en
Pages : 230

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Book Description


Space, Time and Number in the Brain

Space, Time and Number in the Brain PDF Author: Elizabeth Brannon
Publisher: Academic Press
ISBN: 0123859484
Category : Mathematics
Languages : en
Pages : 375

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Book Description
The study of mathematical cognition and the ways in which the ideas of space, time and number are encoded in brain circuitry has become a fundamental issue for neuroscience. How such encoding differs across cultures and educational level is of further interest in education and neuropsychology. This rapidly expanding field of research is overdue for an interdisciplinary volume such as this, which deals with the neurological and psychological foundations of human numeric capacity. A uniquely integrative work, this volume provides a much needed compilation of primary source material to researchers from basic neuroscience, psychology, developmental science, neuroimaging, neuropsychology and theoretical biology. The first comprehensive and authoritative volume dealing with neurological and psychological foundations of mathematical cognition Uniquely integrative volume at the frontier of a rapidly expanding interdisciplinary field Features outstanding and truly international scholarship, with chapters written by leading experts in a variety of fields

Evolutionary Origins and Early Development of Number Processing

Evolutionary Origins and Early Development of Number Processing PDF Author: David C. Geary
Publisher: Academic Press
ISBN: 0128008881
Category : Psychology
Languages : en
Pages : 400

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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.

The Oxford Handbook of Grammatical Number

The Oxford Handbook of Grammatical Number PDF Author: Patricia Cabredo Hofherr
Publisher: Oxford University Press
ISBN: 0198795858
Category : Language Arts & Disciplines
Languages : en
Pages : 793

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Book Description
This volume offers detailed accounts of current research in grammatical number in language. Following a detailed introduction, the chapters in the first three parts of the book explore the multiple research questions in the field and the complex problems surrounding the analysis of grammatical number: Part I presents the background and foundational notions, Part II the morphological, semantic, and syntactic aspects, and Part III the different means of expressing plurality in the event domain. The final part offers fifteen case studies that include in-depth discussion of grammatical number phenomena in a range of typologically diverse languages, written by - or in collaboration with - native speakers linguists or based on extensive fieldwork. The volume draws on work from a range of subdisciplines - including morphology, syntax, semantics, and psycholinguistics - and will be a valuable resource for students and scholars in all areas of theoretical, descriptive, and experimental linguistics.

The Paradox of Points

The Paradox of Points PDF Author: Sören Köcher
Publisher: Springer
ISBN: 3658095431
Category : Business & Economics
Languages : en
Pages : 163

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Book Description
In his research, Sören Köcher provides valuable insights on the paradoxical effects of the magnitude of a loyalty program medium—i.e. the sheer number of points, miles, or stamps credited for every purchase and required for reward redemption—on the central consumer decisions in loyalty program memberships. In sum, the results of twelve empirical studies reveal that high magnitude currencies improve the attractiveness of medium collection but entail reluctant medium spending behavior. These findings provide important implications for a more efficient usage of loyalty programs in business practices. In addition, this dissertation discovers a violation of one of the most fundamental assumptions of rational choice theory and thus contributes to a better understanding of when and why people deviate from rational decision-making.

The Border Between Seeing and Thinking

The Border Between Seeing and Thinking PDF Author: Ned Block
Publisher: Oxford University Press
ISBN: 0197622224
Category : Philosophy
Languages : en
Pages : 561

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Book Description
"What is the difference between seeing and thinking? Is the border between seeing and thinking a joint in nature in the sense of a fundamental explanatory difference? Is it a difference of degree? Does thinking affect seeing, i.e. is seeing "cognitively penetrable"? Are we aware of faces, causation, numerosity and other "high-level" properties or only of the colors, shapes and textures that-according to the advocate of high level perception--are the basis on which we see them? Is perception conceptual and propositional? Is perception iconic or more akin to language in being discursive? Is seeing singular? Which is more fundamental, visual attribution or visual discrimination? Is all seeing seeing-as? What is the difference between the format and content of perception and do perception and cognition have different formats? Is perception probabilistic and if so, why are we not normally aware of this probabilistic nature of perception? Are the basic features of mind known as "core cognition" a third category in between perception and cognition? Are there perceptual categories that are not concepts? Where does consciousness fit in with regard to the difference between seeing and thinking? Do the lessons from seeing apply to other senses? These are the questions I will be exploring in this book. I will be exploring them not mainly by appeals to "intuitions" as is common in philosophy of perception but by appeal to empirical evidence, including experiments in neuroscience and psychology"--

The Handbook of Mathematical Cognition

The Handbook of Mathematical Cognition PDF Author: Jamie I.D. Campbell
Publisher: Psychology Press
ISBN: 1135423652
Category : Psychology
Languages : en
Pages : 528

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Book Description
How does the brain represent number and make mathematical calculations? What underlies the development of numerical and mathematical abilities? What factors affect the learning of numerical concepts and skills? What are the biological bases of number knowledge? Do humans and other animals share similar numerical representations and processes? What underlies numerical and mathematical disabilities and disorders, and what is the prognosis for rehabilitation? These questions are the domain of mathematical cognition, the field of research concerned with the cognitive and neurological processes that underlie numerical and mathematical abilities. The Handbook of Mathematical Cognition is a collection of 27 essays by leading researchers that provides a comprehensive review of this important research field.