Mathematical Cognition
Author : James M. Royer
Publisher : IAP
Page : 271 pages
File Size : 28,47 MB
Release : 2003-01-01
Category : Education
ISBN : 1607527960
The Handbook of Mathematical Cognition
Author : Jamie I.D. Campbell
Publisher : Psychology Press
Page : 527 pages
File Size : 18,30 MB
Release : 2005-08-15
Category : Psychology
ISBN : 1135423660
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. TheHandbook of Mathematical Cognition is a collection of 27 essays by leading researchers that provides a comprehensive review of this important research field.
An Introduction to Mathematical Cognition
Author : Camilla Gilmore
Publisher : Routledge
Page : 406 pages
File Size : 15,15 MB
Release : 2018-06-13
Category : Psychology
ISBN : 1317410106
Book Description
The last decade has seen a rapid growth in our understanding of the cognitive systems that underlie mathematical learning and performance, and an increased recognition of the importance of this topic. This book showcases international research on the most important cognitive issues that affect mathematical performance across a wide age range, from early childhood to adulthood. The book considers the foundational competencies of nonsymbolic and symbolic number processing before discussing arithmetic, conceptual understanding, individual differences and dyscalculia, algebra, number systems, reasoning and higher-level mathematics such as formal proof. Drawing on diverse methodology from behavioural experiments to brain imaging, each chapter discusses key theories and empirical findings and introduces key tasks used by researchers. The final chapter discusses challenges facing the future development of the field of mathematical cognition and reviews a set of open questions that mathematical cognition researchers should address to move the field forward. This book is ideal for undergraduate or graduate students of psychology, education, cognitive sciences, cognitive neuroscience and other academic and clinical audiences including mathematics educators and educational psychologists.
Development of Mathematical Cognition
Author : Daniel B. Berch
Publisher : Academic Press
Page : 418 pages
File Size : 36,46 MB
Release : 2015-10-03
Category : Psychology
ISBN : 0128019093
Book Description
Development of Mathematical Cognition: Neural Substrates and Genetic Influences reviews advances in extant imaging modalities and the application of brain stimulation techniques for improving mathematical learning. It goes on to explore the role genetics and environmental influences have in the development of math abilities and disabilities. Focusing on the neural substrates and genetic factors associated with both the typical and atypical development of mathematical thinking and learning, this second volume in the Mathematical Cognition and Learning series integrates the latest in innovative measures and methodological advances from the top researchers in the field. - Provides details about new progress made in the study of neural correlates of numerical and arithmetic cognition - Addresses recent work in quantitative and molecular genetics - Works to improve instruction in numerical, arithmetical, and algebraic thinking and learning - Informs policy to help increase the level of mathematical proficiency among the general public
Interdisciplinary Perspectives on Math Cognition
Author : Marcel Danesi
Publisher : Springer Nature
Page : 343 pages
File Size : 24,35 MB
Release : 2019-09-14
Category : Mathematics
ISBN : 3030225372
Book Description
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.
Cognitive Foundations for Improving Mathematical Learning
Author : David C. Geary
Publisher : Academic Press
Page : 380 pages
File Size : 18,20 MB
Release : 2019-01-03
Category : Psychology
ISBN : 0128159537
Book Description
The fifth volume in the Mathematical Cognition and Learning series focuses on informal learning environments and other parental influences on numerical cognitive development and formal instructional interventions for improving mathematics learning and performance. The chapters cover the use of numerical play and games for improving foundational number knowledge as well as school math performance, the link between early math abilities and the approximate number system, and how families can help improve the early development of math skills. The book goes on to examine learning trajectories in early mathematics, the role of mathematical language in acquiring numeracy skills, evidence-based assessments of early math skills, approaches for intensifying early mathematics interventions, the use of analogies in mathematics instruction, schema-based diagrams for teaching ratios and proportions, the role of cognitive processes in treating mathematical learning difficulties, and addresses issues associated with intervention fadeout. - Identifies the relative influence of school and family on math learning - Discusses the efficacy of numerical play for improvement in math - Features learning trajectories in math - Examines the role of math language in numeracy skills - Includes assessments of math skills - Explores the role of cognition in treating math-based learning difficulties
Numerical Cognition
Author : Andre Knops
Publisher : Routledge
Page : 215 pages
File Size : 33,18 MB
Release : 2019-12-10
Category : Psychology
ISBN : 1000766454
Book Description
Numerical Cognition: The Basics provides an understanding of the neural and cognitive mechanisms that enable us to perceive, process, and memorize numerical information. Starting from basic numerical competencies that humans share with other species, the book explores the mental coding of numbers and their neural representation. It explains the strategies of mental calculation, their pitfalls and their development, as well as the developmental steps children make while learning about numbers. The book gradually builds our understanding of the underlying mental processes of numeracy and concludes with an insightful examination of the diagnosis, etiology and treatment of dyscalculia. Written in an accessible manner, the book summarizes and critically evaluates the major psychological explanations for various empirical phenomena in numerical cognition. Containing a wealth of student-friendly features including end of chapter summaries, informative figures, further reading lists, and links to relevant websites, Numerical Cognition: The Basics is an essential starting point for anybody new to the field.
Handbook of Mathematical Cognition
Author : Jamie I. D. Campbell
Publisher : Psychology Press
Page : 528 pages
File Size : 45,9 MB
Release : 2005
Category : Mathematics
ISBN : 1841694118
Book Description
First Published in 2005. Routledge is an imprint of Taylor & Francis, an informa company.
Kant's Mathematical World
Author : Daniel Sutherland
Publisher : Cambridge University Press
Page : 317 pages
File Size : 41,44 MB
Release : 2021-10-28
Category : Mathematics
ISBN : 1108429963
Book Description
An explanation of the foundations of Kant's philosophy of mathematics and its connection to his account of human experience.
An Introduction to Mathematical Cognition
Author : Camilla Gilmore
Publisher : Taylor & Francis
Page : 265 pages
File Size : 42,14 MB
Release : 2018-06-13
Category : Psychology
ISBN : 1317410114
Book Description
The last decade has seen a rapid growth in our understanding of the cognitive systems that underlie mathematical learning and performance, and an increased recognition of the importance of this topic. This book showcases international research on the most important cognitive issues that affect mathematical performance across a wide age range, from early childhood to adulthood. The book considers the foundational competencies of nonsymbolic and symbolic number processing before discussing arithmetic, conceptual understanding, individual differences and dyscalculia, algebra, number systems, reasoning and higher-level mathematics such as formal proof. Drawing on diverse methodology from behavioural experiments to brain imaging, each chapter discusses key theories and empirical findings and introduces key tasks used by researchers. The final chapter discusses challenges facing the future development of the field of mathematical cognition and reviews a set of open questions that mathematical cognition researchers should address to move the field forward. This book is ideal for undergraduate or graduate students of psychology, education, cognitive sciences, cognitive neuroscience and other academic and clinical audiences including mathematics educators and educational psychologists.
