Language and Culture in Mathematical Cognition

Language and Culture in Mathematical Cognition

Author: Daniel B. Berch

Publisher: Academic Press

Published: 2018-07-27

Total Pages: 366

ISBN-13: 0128125756

DOWNLOAD EBOOK

Language and Culture in Mathematical Cognition, First Edition 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, the influence of Head Start programs, the mathematical skills of children with specific language impairments, the role of culture and language in creating associations between number and space, and electrophysiological studies of linguistic traces in core knowledge at the neural level. Includes cutting-edge findings, innovative measures, recent methodological advances and groundbreaking theoretical developments Synthesizes research from various subdomains of math cognition research Covers the full complement of research in mathematical thinking and learning Informs researchers, scholars, educators, students and policymakers


Book Synopsis Language and Culture in Mathematical Cognition by : Daniel B. Berch

Download or read book Language and Culture in Mathematical Cognition written by Daniel B. Berch and published by Academic Press. This book was released on 2018-07-27 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Language and Culture in Mathematical Cognition, First Edition 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, the influence of Head Start programs, the mathematical skills of children with specific language impairments, the role of culture and language in creating associations between number and space, and electrophysiological studies of linguistic traces in core knowledge at the neural level. Includes cutting-edge findings, innovative measures, recent methodological advances and groundbreaking theoretical developments Synthesizes research from various subdomains of math cognition research Covers the full complement of research in mathematical thinking and learning Informs researchers, scholars, educators, students and policymakers

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.


Book Synopsis Linguistic Influences on Mathematical Cognition by : Ann Dowker

Download or read book Linguistic Influences on Mathematical Cognition written by Ann Dowker and published by Frontiers Media SA. This book was released on 2017-06-16 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Linguistic and Cultural Influences on Learning Mathematics

Linguistic and Cultural Influences on Learning Mathematics

Author: Rodney R. Cocking

Publisher: Routledge

Published: 2013-03-07

Total Pages: 329

ISBN-13: 1136562567

DOWNLOAD EBOOK

The combined impact of linguistic, cultural, educational and cognitive factors on mathematics learning is considered in this unique book. By uniting the diverse research models and perspectives of these fields, the contributors describe how language and cognitive factors can influence mathematical learning, thinking and problem solving. The authors contend that cognitive skills are heavily dependent upon linguistic skills and both are critical to the representational knowledge intimately linked to school achievement in mathematics.


Book Synopsis Linguistic and Cultural Influences on Learning Mathematics by : Rodney R. Cocking

Download or read book Linguistic and Cultural Influences on Learning Mathematics written by Rodney R. Cocking and published by Routledge. This book was released on 2013-03-07 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: The combined impact of linguistic, cultural, educational and cognitive factors on mathematics learning is considered in this unique book. By uniting the diverse research models and perspectives of these fields, the contributors describe how language and cognitive factors can influence mathematical learning, thinking and problem solving. The authors contend that cognitive skills are heavily dependent upon linguistic skills and both are critical to the representational knowledge intimately linked to school achievement in mathematics.

Cultural Development of Mathematical Ideas

Cultural Development of Mathematical Ideas

Author: Geoffrey B. Saxe

Publisher: Cambridge University Press

Published: 2012-09-28

Total Pages: 399

ISBN-13: 1139560239

DOWNLOAD EBOOK

Drawing upon field studies conducted in 1978, 1980 and 2001 with the Oksapmin, a remote Papua New Guinea group, Geoffrey B. Saxe traces the emergence of new forms of numerical representations and ideas in the social history of the community. In traditional life, the Oksapmin used a counting system that makes use of twenty-seven parts of the body; there is no evidence that the group used arithmetic in prehistory. As practices of economic exchange and schooling have shifted, children and adults unwittingly reproduced and altered the system in order to solve new kinds of numerical and arithmetical problems, a process that has led to new forms of collective representations in the community. While Dr Saxe's focus is on the Oksapmin, the insights and general framework he provides are useful for understanding shifting representational forms and emerging cognitive functions in any human community.


Book Synopsis Cultural Development of Mathematical Ideas by : Geoffrey B. Saxe

Download or read book Cultural Development of Mathematical Ideas written by Geoffrey B. Saxe and published by Cambridge University Press. This book was released on 2012-09-28 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing upon field studies conducted in 1978, 1980 and 2001 with the Oksapmin, a remote Papua New Guinea group, Geoffrey B. Saxe traces the emergence of new forms of numerical representations and ideas in the social history of the community. In traditional life, the Oksapmin used a counting system that makes use of twenty-seven parts of the body; there is no evidence that the group used arithmetic in prehistory. As practices of economic exchange and schooling have shifted, children and adults unwittingly reproduced and altered the system in order to solve new kinds of numerical and arithmetical problems, a process that has led to new forms of collective representations in the community. While Dr Saxe's focus is on the Oksapmin, the insights and general framework he provides are useful for understanding shifting representational forms and emerging cognitive functions in any human community.

Mathematical Cognition

Mathematical Cognition

Author: James M. Royer

Publisher: IAP

Published: 2003-01-01

Total Pages: 273

ISBN-13: 1607527960

DOWNLOAD EBOOK


Book Synopsis Mathematical Cognition by : James M. Royer

Download or read book Mathematical Cognition written by James M. Royer and published by IAP. This book was released on 2003-01-01 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Reckonings

Reckonings

Author: Stephen Chrisomalis

Publisher: MIT Press

Published: 2020-12-15

Total Pages: 265

ISBN-13: 026236087X

DOWNLOAD EBOOK

Insights from the history of numerical notation suggest that how humans write numbers is an active choice involving cognitive and social factors. Over the past 5,000 years, more than 100 methods of numerical notation--distinct ways of writing numbers--have been developed and used by specific communities. Most of these are barely known today; where they are known, they are often derided as cognitively cumbersome and outdated. In Reckonings, Stephen Chrisomalis considers how humans past and present use numerals, reinterpreting historical and archaeological representations of numerical notation and exploring the implications of why we write numbers with figures rather than words.


Book Synopsis Reckonings by : Stephen Chrisomalis

Download or read book Reckonings written by Stephen Chrisomalis and published by MIT Press. This book was released on 2020-12-15 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Insights from the history of numerical notation suggest that how humans write numbers is an active choice involving cognitive and social factors. Over the past 5,000 years, more than 100 methods of numerical notation--distinct ways of writing numbers--have been developed and used by specific communities. Most of these are barely known today; where they are known, they are often derided as cognitively cumbersome and outdated. In Reckonings, Stephen Chrisomalis considers how humans past and present use numerals, reinterpreting historical and archaeological representations of numerical notation and exploring the implications of why we write numbers with figures rather than words.

Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being

Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being

Author: George Lakoff

Publisher:

Published: 2000-11-02

Total Pages: 520

ISBN-13:

DOWNLOAD EBOOK

A study of the cognitive science of mathematical ideas.


Book Synopsis Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being by : George Lakoff

Download or read book Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being written by George Lakoff and published by . This book was released on 2000-11-02 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: A study of the cognitive science of mathematical ideas.

Diversity Dimensions in Mathematics and Language Learning

Diversity Dimensions in Mathematics and Language Learning

Author: Annemarie Fritz

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2021-06-08

Total Pages: 360

ISBN-13: 3110662760

DOWNLOAD EBOOK

Extensive research is available on language acquisition and the acquisition of mathematical skills in early childhood. But more recently, research has turned to the question of the influence of specific language aspects on acquisition of mathematical skills. This anthology combines current findings and theories from various disciplines such as (neuro-)psychology, linguistics, didactics and anthropology.


Book Synopsis Diversity Dimensions in Mathematics and Language Learning by : Annemarie Fritz

Download or read book Diversity Dimensions in Mathematics and Language Learning written by Annemarie Fritz and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-06-08 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extensive research is available on language acquisition and the acquisition of mathematical skills in early childhood. But more recently, research has turned to the question of the influence of specific language aspects on acquisition of mathematical skills. This anthology combines current findings and theories from various disciplines such as (neuro-)psychology, linguistics, didactics and anthropology.

The Handbook of Mathematical Cognition

The Handbook of Mathematical Cognition

Author: Jamie I.D. Campbell

Publisher: Psychology Press

Published: 2005-08-15

Total Pages: 527

ISBN-13: 1135423660

DOWNLOAD EBOOK

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. TheHandbook of Mathematical Cognition is a collection of 27 essays by leading researchers that provides a comprehensive review of this important research field.


Book Synopsis The Handbook of Mathematical Cognition by : Jamie I.D. Campbell

Download or read book The Handbook of Mathematical Cognition written by Jamie I.D. Campbell and published by Psychology Press. This book was released on 2005-08-15 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. TheHandbook of Mathematical Cognition is a collection of 27 essays by leading researchers that provides a comprehensive review of this important research field.

Interdisciplinary Perspectives on Math Cognition

Interdisciplinary Perspectives on Math Cognition

Author: Marcel Danesi

Publisher: Springer Nature

Published: 2019-09-14

Total Pages: 344

ISBN-13: 3030225372

DOWNLOAD EBOOK

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.


Book Synopsis Interdisciplinary Perspectives on Math Cognition by : Marcel Danesi

Download or read book Interdisciplinary Perspectives on Math Cognition written by Marcel Danesi and published by Springer Nature. This book was released on 2019-09-14 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.