Interdisciplinary Perspectives On Math Cognition
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Interdisciplinary Perspectives On Math Cognition
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Author : Marcel Danesi
language : en
Publisher: Springer Nature
Release Date : 2019-09-14
Interdisciplinary Perspectives On Math Cognition written by Marcel Danesi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-14 with Mathematics categories.
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.
Handbook Of Cognitive Mathematics
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Author : Marcel Danesi
language : en
Publisher: Springer Nature
Release Date : 2022-10-31
Handbook Of Cognitive Mathematics written by Marcel Danesi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-31 with Mathematics categories.
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.
Image Schema Theory And Mathematical Cognition
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Author : Marcel Danesi
language : en
Publisher: Springer Nature
Release Date : 2025-04-10
Image Schema Theory And Mathematical Cognition written by Marcel Danesi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-10 with Mathematics categories.
This book uses blending theory in math cognition, and assesses the main aspect of this theory, called image schema theory. Applied work in math pedagogy has used this theory, but no work has assessed its validity. This book provides an overall assessment of the theory with regard to its validity in the study of math cognition. Overall, this book presents image schema theory as it has evolved today to mathematicians, cognitive scientists, and math educators, deriving from it any concrete implications for modeling math in computer science and, on the other side, for making math pedagogy more effective.
Open Quantum Systems In Biology Cognitive And Social Sciences
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Author : Andrei Y. Khrennikov
language : en
Publisher: Springer Nature
Release Date : 2023-06-03
Open Quantum Systems In Biology Cognitive And Social Sciences written by Andrei Y. Khrennikov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-03 with Science categories.
This book mathematically analyzes the basic problems of biology, decision making and psychology within the framework of the theory of open quantum systems. In recent years there has been an explosion of interest in applications of quantum theory in fields beyond physics. The main areas include psychology, decision-making, economics, finance, social science as well as genetics and molecular biology. The corresponding models are referred to as quantum-like; they don’t concern any genuine physical processes in the human brain. Quantum-like models reflect the special features of information processing in biological, cognitive, and social systems which match well with the quantum formalism. This formalism gives rise to the quantum probability model (QP) which differs essentially from Kolmogorov's classical probability model. QP also serves as the basis for quantum information theory. Recently QP has been widely applied to the resolution of the basic paradoxes of decision making theory and to modeling experimental data stemming from cognition, psychology, economics, and finance thereby shedding light on probability fallacies and irrational behavior. In this book, the theory of quantum instruments and the quantum master equation are applied to the modeling of biological and cognitive processes, in particular, to the stability of complex biological and social systems interacting with their environment. An essential part of the book is devoted to the theory of the social laser and the Fröhlich condensate.
Home Literacy Environment And Literacy Acquisition
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Author : George Georgiou
language : en
Publisher: Springer Nature
Release Date : 2025-06-14
Home Literacy Environment And Literacy Acquisition written by George Georgiou and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-14 with Education categories.
!-- [if !supportLists]--This book provides a comprehensive and up-to-date overview of the literature on home literacy environment and its association with literacy skills in different languages and contexts. Home literacy environment (HLE), an umbrella term that encompasses various activities parents engage in with their children, has been studied extensively by psychologists, linguists, behavioral geneticists, and educators. However, no systematic effort has been put into synthesizing this growing body of research in a coherent manner, making it difficult for researchers and various stakeholders to understand the key points of past research while keeping up with the latest research findings. To address this need, the first part of the book provides an overview of the current literature on conceptualizations of HLE, covering prominent theoretical models, the measurement of HLE, the potential extension and generalizability of models across contexts, the intersections between home learning environment in literacy, numeracy, and other domains, and the genetic and environmental etiology of literacy development The second section of the book hosts a wide variety of studies from all over the world, conducted in English-speaking countries (UK, U.S., Canada), Finland, Greece, Turkey, China, Japan, the Philippines and other Southeast Asian countries, and Chile and other Latin American and Caribbean countries, while it includes chapters with both typically-developing children and children at familial risk of dyslexia. The third section of this book offers a comprehensive collection of chapters on intervention studies examining the role of family literacy programs, dialogic reading, and onscreen digital access. Together, the 22 chapters of this book elucidate the complex nature of HLE and provide future research directions and instructional recommendations on how parents and policymakers can improve home literacy practices around the world. As such, this book is valuable for researchers, educators, and other professionals, and the readership ranges from graduate students and scholars to parents and policymakers.
Language And Mathematics Education
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Author : Judit N. Moschkovich
language : en
Publisher: IAP
Release Date : 2010-11-01
Language And Mathematics Education written by Judit N. Moschkovich and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-01 with Education categories.
Issues of language in mathematics learning and teaching are important for both practical and theoretical reasons. Addressing issues of language is crucial for improving mathematics learning and teaching for students who are bilingual, multilingual, or learning English. These issues are also relevant to theory: studies that make language visible provide a complex perspective of the role of language in reasoning and learning mathematics. What is the relevant knowledge base to consider when designing research studies that address issues of language in the learning and teaching of mathematics? What scholarly literature is relevant and can contribute to research? In order to address issues of language in mathematics education, researchers need to use theoretical perspectives that integrate current views of mathematics learning and teaching with current views on language, discourse, bilingualism, and second language acquisition. This volume contributes to the development of such integrated approaches to research on language issues in mathematics education by describing theoretical perspectives for framing the study of language issues and methodological issues to consider when designing research studies. The volume provides interdisciplinary reviews of the research literature from four very different perspectives: mathematics education (Moschkovich), Cultural-Historical-Activity Theory (Gutiérrez, Sengupta-Irving, & Dieckmann), systemic functional linguistics (Schleppegrell), and assessment (Solano-Flores). This volume offers graduate students and researchers new to the study of language in mathematics education an introduction to resources for conceptualizing, framing, and designing research studies. For those already involved in examining language issues, the volume provides useful and critical reviews of the literature as well as recommendations for moving forward in designing research. Lastly, the volume provides a basis for dialogue across multiple research communities engaged in collaborative work to address these pressing issues.
Mathematics Education In The Information Age
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Author : Stacy A. Costa
language : en
Publisher: Springer Nature
Release Date : 2020-12-10
Mathematics Education In The Information Age written by Stacy A. Costa and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-10 with Mathematics categories.
This book brings together ideas from experts in cognitive science, mathematics, and mathematics education to discuss these issues and to present research on how mathematics and its learning and teaching are evolving in the Information Age. Given the ever-broadening trends in Artificial Intelligence and the processing of information generally, the aim is to assess their implications for how math is evolving and how math should now be taught to a generation that has been reared in the Information Age. It will also look at the ever-spreading assumption that human intelligence may not be unique—an idea that dovetails with current philosophies of mind such as posthumanism and transhumanism. The role of technology in human evolution has become critical in the contemporary world. Therefore, a subgoal of this book is to illuminate how humans now use their sophisticated technologies to chart cognitive and social progress. Given the interdisciplinary nature of the chapters, this will be of interest to all kinds of readers, from mathematicians themselves working increasingly with computer scientists, to cognitive scientists who carry out research on mathematics cognition and teachers of mathematics in a classroom.
Cognitive Development In Museum Settings
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Author : David M. Sobel
language : en
Publisher: Routledge
Release Date : 2015-10-30
Cognitive Development In Museum Settings written by David M. Sobel and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-30 with Psychology categories.
Researchers in cognitive development are gaining new insights into the ways in which children learn about the world. At the same time, there has been increased recognition of the important role that visits to informal learning institutions plays in supporting learning. Research and practice pursuits typically unfold independently and often with different goals and methods, making it difficult to make meaningful connections between laboratory research in cognitive development and practices in informal education. Recently, groundbreaking partnerships between researchers and practitioners have resulted in innovative strategies for linking findings in cognitive development together with goals critical to museum practitioners, such as exhibit evaluation and design. Cognitive Development in Museum Settings offers an account of ways in which researchers in cognitive development partner with museum practitioners. Each chapter describes a partnership between academic researchers and museum practitioners and details their collaboration, the important research that has resulted from their partnership, and the benefits and challenges of maintaining their relationship. This approach illustrates cutting-edge developmental science, but also considers how researcher-practitioner interactions affect research outcomes and provide insight to questions common to practitioners. In addition, each set of researchers and practitioners discusses issues brought up by the partnership by posing questions concerning research-practice partnerships and research evidence, considering whether and how cognitive development research conducted in museum settings aligns with larger disciplinary interests in that field, and examining to what extent museum practitioners benefit from applying research on the development of cognitive processes to their educational practices.
Mathematical Learning And Cognition In Early Childhood
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Author : Katherine M. Robinson
language : en
Publisher: Springer
Release Date : 2019-05-07
Mathematical Learning And Cognition In Early Childhood written by Katherine M. Robinson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-07 with Psychology categories.
This book explores mathematical learning and cognition in early childhood from interdisciplinary perspectives, including developmental psychology, neuroscience, cognitive psychology, and education. It examines how infants and young children develop numerical and mathematical skills, why some children struggle to acquire basic abilities, and how parents, caregivers, and early childhood educators can promote early mathematical development. The first section of the book focuses on infancy and toddlerhood with a particular emphasis on the home environment and how parents can foster early mathematical skills to prepare their children for formal schooling. The second section examines topics in preschool and kindergarten, such as the development of counting procedures and principles, the use of mathematics manipulatives in instruction, and the impacts of early intervention. The final part of the book focuses on particular instructional approaches in the elementary school years, such as different additive concepts, schema-based instruction, and methods of division. Chapters analyze the ways children learn to think about, work with, and master the language of mathematical concepts, as well as provide effective approaches to screening and intervention. Included among the topics: The relationship between early gender differences and future mathematical learning and participation. The connection between mathematical and computational thinking. Patterning abilities in young children. Supporting children with learning difficulties and intellectual disabilities. The effectiveness of tablets as elementary mathematics education tools. Mathematical Learning and Cognition in Early Childhood is an essential resource for researchers, graduate students, and professionals in infancy and early childhood development, child and school psychology, neuroscience, mathematics education, educational psychology, and social work.
Critical Mathematics Education
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Author : Paul Ernest
language : en
Publisher: IAP
Release Date : 2016-01-01
Critical Mathematics Education written by Paul Ernest and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-01 with Education categories.
Mathematics is traditionally seen as the most neutral of disciplines, the furthest removed from the arguments and controversy of politics and social life. However, critical mathematics challenges these assumptions and actively attacks the idea that mathematics is pure, objective, and value?neutral. It argues that history, society, and politics have shaped mathematics—not only through its applications and uses but also through molding its concepts, methods, and even mathematical truth and proof, the very means of establishing truth. Critical mathematics education also attacks the neutrality of the teaching and learning of mathematics, showing how these are value?laden activities indissolubly linked to social and political life. Instead, it argues that the values of openness, dialogicality, criticality towards received opinion, empowerment of the learner, and social/political engagement and citizenship are necessary dimensions of the teaching and learning of mathematics, if it is to contribute towards democracy and social justice. This book draws together critical theoretic contributions on mathematics and mathematics education from leading researchers in the field. Recurring themes include: The natures of mathematics and critical mathematics education, issues of epistemology and ethics; Ideology, the hegemony of mathematics, ethnomathematics, and real?life education; Capitalism, globalization, politics, social class, habitus, citizenship and equity. The book demonstrates the links between these themes and the discipline of mathematics, and its critical teaching and learning. The outcome is a groundbreaking collection unified by a shared concern with critical perspectives of mathematics and education, and of the ways they impact on practice.