Language and Culture in Mathematical Cognition

Language and Culture in Mathematical Cognition
Author: Daniel B. Berch,David C. Geary,Kathleen Mann Koepke
Publsiher: Academic Press
Total Pages: 364
Release: 2018-07-27
Genre: Psychology
ISBN: 9780128125755

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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,Hans-Christoph Nuerk
Publsiher: Frontiers Media SA
Total Pages: 135
Release: 2017-06-16
Genre: Electronic Book
ISBN: 9782889452002

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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.

On the Development of Space Number Relations Linguistic and Cognitive Determinants Influences and Associations

On the Development of Space Number Relations  Linguistic and Cognitive Determinants  Influences  and Associations
Author: Hans-Christoph Nuerk,Krzysztof Cipora,Frank Domahs,Maciej Haman
Publsiher: Frontiers Media SA
Total Pages: 135
Release: 2020-03-30
Genre: Electronic Book
ISBN: 9782889635887

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Pre or Post School Influences on Learning Adaptations Risks and Disabilities in Children and Adolescents Overlapping Challenges for Public Health Education and Development

Pre  or Post  School Influences on Learning Adaptations  Risks and Disabilities in Children and Adolescents  Overlapping Challenges for Public Health  Education and Development
Author: Amedeo D’Angiulli,Kimberly Schonert-Reichl,Nicole Letourneau,Eric R. Hamilton,Gerry Leisman
Publsiher: Frontiers Media SA
Total Pages: 135
Release: 2021-05-31
Genre: Science
ISBN: 9782889668281

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The First Sourcebook on Asian Research in Mathematics Education 2 Volumes

The First Sourcebook on Asian Research in Mathematics Education   2 Volumes
Author: Bharath Sriraman,Jinfa Cai,Kyeonghwa Lee,Lianghuo Fan,Yoshinori Shimizu,Chap Sam Lim,K. Subramaniam
Publsiher: IAP
Total Pages: 1798
Release: 2015-08-01
Genre: Education
ISBN: 9781681232799

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Mathematics and Science education have both grown in fertile directions in different geographic regions. Yet, the mainstream discourse in international handbooks does not lend voice to developments in cognition, curriculum, teacher development, assessment, policy and implementation of mathematics and science in many countries. Paradoxically, in spite of advances in information technology and the “flat earth” syndrome, old distinctions and biases between different groups of researcher’s persist. In addition limited accessibility to conferences and journals also contribute to this problem. The International Sourcebooks in Mathematics and Science Education focus on under-represented regions of the world and provides a platform for researchers to showcase their research and development in areas within mathematics and science education. The First Sourcebook on Asian Research in Mathematics Education: China, Korea, Singapore, Japan, Malaysia and India provides the first synthesized treatment of mathematics education that has both developed and is now prominently emerging in the Asian and South Asian world. The book is organized in sections coordinated by leaders in mathematics education in these countries and editorial teams for each country affiliated with them. The purpose of unique sourcebook is to both consolidate and survey the established body of research in these countries with findings that have influenced ongoing research agendas and informed practices in Europe, North America (and other countries) in addition to serving as a platform to showcase existing research that has shaped teacher education, curricula and policy in these Asian countries. The book will serve as a standard reference for mathematics education researchers, policy makers, practitioners and students both in and outside Asia, and complement the Nordic and NCTM perspectives.

Handbook of Mathematical Cognition

Handbook of Mathematical Cognition
Author: Jamie I. D. Campbell
Publsiher: Psychology Press
Total Pages: 508
Release: 2005
Genre: Mathematics
ISBN: 9781841694115

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Forlagsomtale: This collection of 27 chapters by leading researchers provides a state-of-the-art reference for mathematical cognition research

Individual Differences in Arithmetical Development

Individual Differences in Arithmetical Development
Author: Ann Dowker,Bert De Smedt,Annemie Desoete
Publsiher: Frontiers Media SA
Total Pages: 135
Release: 2020-01-03
Genre: Electronic Book
ISBN: 9782889633760

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Using Mathematics to Understand the World

Using Mathematics to Understand the World
Author: Terezinha Nunes,Peter Bryant
Publsiher: Routledge
Total Pages: 186
Release: 2021-08-06
Genre: Psychology
ISBN: 9780429560804

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Using Mathematics to Understand the World: How Culture Promotes Children's Mathematics offers fundamental insight into how mathematics permeates our lives as a way of representing and thinking about the world. Internationally renowned experts Terezinha Nunes and Peter Bryant examine research into children’s mathematical development to show why it is important to distinguish between quantities, relations and numbers. Using Mathematics to Understand the World presents a theory about the development of children’s quantitative reasoning and reveals why and how teaching about quantitative reasoning can be used to improve children’s mathematical attainment in school. It describes how learning about the analytical meaning of numbers is established as part of mathematics at school but quantitative reasoning is emphasized less even though it is increasingly acclaimed as essential for thinking mathematically and for using mathematics to understand the world. This essential text is for all students of mathematics education, developmental psychology and cognitive psychology. By including activities for parents and professionals to try themselves, it may help you to recognize your own quantitative reasoning.

Cultures of Mathematics and Logic

Cultures of Mathematics and Logic
Author: Shier Ju,Benedikt Löwe,Thomas Müller,Yun Xie
Publsiher: Birkhäuser
Total Pages: 123
Release: 2016-08-10
Genre: Mathematics
ISBN: 9783319315027

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This book gathers the proceedings of the conference "Cultures of Mathematics and Logic," held in Guangzhou, China. The event was the third in a series of interdisciplinary, international conferences emphasizing the cultural components of philosophy of mathematics and logic. It brought together researchers from many disciplines whose work sheds new light on the diversity of mathematical and logical cultures and practices. In this context, the cultural diversity can be diachronical (different cultures in different historical periods), geographical (different cultures in different regions), or sociological in nature.

Interdisciplinary Perspectives on Math Cognition

Interdisciplinary Perspectives on Math Cognition
Author: Marcel Danesi
Publsiher: Springer Nature
Total Pages: 344
Release: 2019-09-14
Genre: Mathematics
ISBN: 9783030225377

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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.

Linguistic and Cultural Influences on Learning Mathematics

Linguistic and Cultural Influences on Learning Mathematics
Author: Rodney R. Cocking,Jose P. Mestre
Publsiher: Routledge
Total Pages: 320
Release: 2013-03-07
Genre: Education
ISBN: 9781136562631

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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.

Numbers and the Making of Us

Numbers and the Making of Us
Author: Caleb Everett
Publsiher: Harvard University Press
Total Pages: 297
Release: 2017-03-13
Genre: Language Arts & Disciplines
ISBN: 9780674504431

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Number concepts are a human invention developed and refined over millennia. They allow us to grasp quantities precisely: recent research shows that most specific quantities are not perceived in the absence of a number system. Numbers are not innate or universal; yet without them, the world as we know it would not exist.

Diversity Dimensions in Mathematics and Language Learning

Diversity Dimensions in Mathematics and Language Learning
Author: Annemarie Fritz,Erkan Gürsoy,Moritz Herzog
Publsiher: Walter de Gruyter GmbH & Co KG
Total Pages: 432
Release: 2021-06-08
Genre: Language Arts & Disciplines
ISBN: 9783110661941

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Wie hängen sprachliche und mathematische Entwicklung zusammen? Dieser Frage wird derzeit mit großem Interesse aus unterschiedlichen Perspektiven nachgegangen. Dieser Sammelband vereint Erkenntnisse aus Psychologie, Neurowissenschaften, Mathematikdidaktik, (Psycho-)Linguistik und Mehrsprachigkeitsforschung. Der interdisziplinäre Ansatz bietet einen umfassenden Blick auf den aktuellen Forschungsstand, dargestellt von national und international renommierten Forschenden. Das Buch gliedert sich in drei Teile. Der erste Teil „Modelle und Theorien“ fasst theoretische Überlegungen zusammen und stellt Strukturen für Forschung und Praxis bereit. Dieser Teil dient dazu, den Grundstein für die anderen Teile sowie für zukünftige Forschung zu legen. Der zweite Teil „Kindergartenalter“ sowie der dritte Teil „Grundschulalter“ decken empirische Befunde über die Korrelation zwischen Sprache und mathematischem Lernen in der jeweiligen Altersgruppe ab. Ein besonderer Fokus liegt hierbei auf dem Aspekt der Mehrsprachigkeit. Damit bietet dieser Sammelband eine große Bandbreite fachspezifischen Wissens für Bildungswissenschaftler*innen, Lehramtsstudierende, Psycholog*innen und Forschende zur Mehrsprachigkeit.

Abstract Mathematical Cognition

Abstract Mathematical Cognition
Author: Wolfgang Grodd,Philippe Chassy
Publsiher: Frontiers Media SA
Total Pages: 135
Release: 2016-08-09
Genre: Electronic Book
ISBN: 9782889198160

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Despite the importance of mathematics in our educational systems little is known about how abstract mathematical thinking emerges. Under the uniting thread of mathematical development, we hope to connect researchers from various backgrounds to provide an integrated view of abstract mathematical cognition. Much progress has been made in the last 20 years on how numeracy is acquired. Experimental psychology has brought to light the fact that numerical cognition stems from spatial cognition. The findings from neuroimaging and single cell recording experiments converge to show that numerical representations take place in the intraparietal sulcus. Further research has demonstrated that supplementary neural networks might be recruited to carry out subtasks; for example, the retrieval of arithmetic facts is done by the angular gyrus. Now that the neural networks in charge of basic mathematical cognition are identified, we can move onto the stage where we seek to understand how these basics skills are used to support the acquisition and use of abstract mathematical concepts.

Cultural Development of Mathematical Ideas

Cultural Development of Mathematical Ideas
Author: Geoffrey B. Saxe
Publsiher: Cambridge University Press
Total Pages: 135
Release: 2012-09-28
Genre: Psychology
ISBN: 9781139560238

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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.