Abstract Mathematical Cognition
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Abstract Mathematical Cognition
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Author : Wolfgang Grodd
language : en
Publisher: Frontiers Media SA
Release Date : 2016-08-09
Abstract Mathematical Cognition written by Wolfgang Grodd and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-09 with Mathematics categories.
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.
Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being
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Author : George Lakoff
language : en
Publisher:
Release Date : 2000-11-02
Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being written by George Lakoff and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-11-02 with Mathematics categories.
A study of the cognitive science of mathematical ideas.
Mathematical Cognition
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Author : James M. Royer
language : en
Publisher: IAP
Release Date : 2003-01-01
Mathematical Cognition written by James M. Royer and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-01 with Education categories.
Mathematical Cognition And Understanding
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Author : Katherine M. Robinson
language : en
Publisher: Springer Nature
Release Date : 2023-05-31
Mathematical Cognition And Understanding written by Katherine M. Robinson and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-31 with Education categories.
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.
Handbook Of Mathematical Cognition
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Author : Jamie I. D. Campbell
language : en
Publisher: Psychology Press
Release Date : 2005
Handbook Of Mathematical Cognition written by Jamie I. D. Campbell and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
First Published in 2005. Routledge is an imprint of Taylor & Francis, an informa company.
Cognitive Analytics Concepts Methodologies Tools And Applications
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Author : Management Association, Information Resources
language : en
Publisher: IGI Global
Release Date : 2020-03-06
Cognitive Analytics Concepts Methodologies Tools And Applications written by Management Association, Information Resources and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-06 with Science categories.
Due to the growing use of web applications and communication devices, the use of data has increased throughout various industries, including business and healthcare. It is necessary to develop specific software programs that can analyze and interpret large amounts of data quickly in order to ensure adequate usage and predictive results. Cognitive Analytics: Concepts, Methodologies, Tools, and Applications provides emerging perspectives on the theoretical and practical aspects of data analysis tools and techniques. It also examines the incorporation of pattern management as well as decision-making and prediction processes through the use of data management and analysis. Highlighting a range of topics such as natural language processing, big data, and pattern recognition, this multi-volume book is ideally designed for information technology professionals, software developers, data analysts, graduate-level students, researchers, computer engineers, software engineers, IT specialists, and academicians.
Kant S Mathematical World
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Author : Daniel Sutherland
language : en
Publisher: Cambridge University Press
Release Date : 2021-10-28
Kant S Mathematical World written by Daniel Sutherland and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-28 with Mathematics categories.
An explanation of the foundations of Kant's philosophy of mathematics and its connection to his account of human experience.
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.
Brain And Mathematical Cognition
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Author : Xinlin Zhou
language : en
Publisher: Springer Nature
Release Date : 2024-08-01
Brain And Mathematical Cognition written by Xinlin Zhou and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-01 with Science categories.
This book intends to present a series of insights coming from in-depth investigation of brain and mathematical cognition in Chinese population. Specifically, the book introduces research on the associations among number sense, visual form perception and mathematical fluency; symbolic and non-symbolic mental number line; and the role of spatial modeling and logical inference in mathematical problem solving. The book summarizes author's previous studies on the involvement of semantic network other than visuospatial network in mathematical cognition. The three-component mathematical model that comes out of more than 10 years of research on mathematical cognition is introduced. The book presents the effect of learning experience on arithmetic-related brain system. Chinese abacus that can be used to eradicate developmental dyscalculia in classroom is briefly discussed. Special attention in this book is paid to mathematical anxiety and mathematical learning disorders in Chinese schoolchildren. Finally, gender differences in mathematical cognition are also reviewed.
Cognitive Science And Mathematics Education
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Author : Alan H. Schoenfeld
language : en
Publisher: Routledge
Release Date : 2013-04-03
Cognitive Science And Mathematics Education written by Alan H. Schoenfeld and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-03 with Education categories.
This volume is a result of mathematicians, cognitive scientists, mathematics educators, and classroom teachers combining their efforts to help address issues of importance to classroom instruction in mathematics. In so doing, the contributors provide a general introduction to fundamental ideas in cognitive science, plus an overview of cognitive theory and its direct implications for mathematics education. A practical, no-nonsense attempt to bring recent research within reach for practicing teachers, this book also raises many issues for cognitive researchers to consider.