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.

How do we understand numbers? Do animals and babies have numerical abilities? Why do some people fail to grasp numbers, and how we can improve numerical understanding? Numbers are vital to so many areas of life: in science, economics, sports, education, and many aspects of everyday life from infancy onwards. Numerical cognition is a vibrant area that brings together scientists from different and diverse research areas (e.g., neuropsychology, cognitive psychology, developmental psychology, comparative psychology, anthropology, education, and neuroscience) using different methodological approaches (e.g., behavioral studies of healthy children and adults and of patients; electrophysiology and brain imaging studies in humans; single-cell neurophysiology in non-human primates, habituation studies in human infants and animals, and computer modeling). While the study of numerical cognition had been relatively neglected for a long time, during the last decade there has been an explosion of studies and new findings. This has resulted in an enormous advance in our understanding of the neural and cognitive mechanisms of numerical cognition. In addition, there has recently been increasing interest and concern about pupils' mathematical achievement in many countries, resulting in attempts to use research to guide mathematics instruction in schools, and to develop interventions for children with mathematical difficulties. This handbook brings together the different research areas that make up the field of numerical cognition in one comprehensive and authoritative volume. The chapters provide a broad and extensive review that is written in an accessible form for scholars and students, as well as educationalists, clinicians, and policy makers. The book covers the most important aspects of research on numerical cognition from the areas of development psychology, cognitive psychology, neuropsychology and rehabilitation, learning disabilities, human and animal cognition and neuroscience, computational modeling, education and individual differences, and philosophy. Containing more than 60 chapters by leading specialists in their fields, the Oxford Handbook of Numerical Cognition is a state-of-the-art review of the current literature.

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.

First Published in 2005. Routledge is an imprint of Taylor & Francis, an informa company.

The Handbook of Cognition provides a definitive synthesis of the most up-to-date and advanced work in cognitive psychology in a single volume. The editors have gathered together a team of world-leading researchers in specialist areas of the field, both traditional and `hot' new areas, to present a benchmark - in terms of theoretical insight and advances in methodology - of the discipline. This book contains a thorough overview of the most significant and current research in cognitive psychology that will serve this academic community like no other volume.

This Oxford Handbook offers a comprehensive and authoritative review of important developments in computational and mathematical psychology. With chapters written by leading scientists across a variety of subdisciplines, it examines the field's influence on related research areas such as cognitive psychology, developmental psychology, clinical psychology, and neuroscience. The Handbook emphasizes examples and applications of the latest research, and will appeal to readers possessing various levels of modeling experience. The Oxford Handbook of Computational and mathematical Psychology covers the key developments in elementary cognitive mechanisms (signal detection, information processing, reinforcement learning), basic cognitive skills (perceptual judgment, categorization, episodic memory), higher-level cognition (Bayesian cognition, decision making, semantic memory, shape perception), modeling tools (Bayesian estimation and other new model comparison methods), and emerging new directions in computation and mathematical psychology (neurocognitive modeling, applications to clinical psychology, quantum cognition). The Handbook would make an ideal graduate-level textbook for courses in computational and mathematical psychology. Readers ranging from advanced undergraduates to experienced faculty members and researchers in virtually any area of psychology--including cognitive science and related social and behavioral sciences such as consumer behavior and communication--will find the text useful.

Emotions play a critical role in mathematical cognition and learning. Understanding Emotions in Mathematical Thinking and Learning offers a multidisciplinary approach to the role of emotions in numerical cognition, mathematics education, learning sciences, and affective sciences. It addresses ways in which emotions relate to cognitive processes involved in learning and doing mathematics, including processing of numerical and physical magnitudes (e.g. time and space), performance in arithmetic and algebra, problem solving and reasoning attitudes, learning technologies, and mathematics achievement. Additionally, it covers social and affective issues such as identity and attitudes toward mathematics. - Covers methodologies in studying emotion in mathematical knowledge - Reflects the diverse and innovative nature of the methodological approaches and theoretical frameworks proposed by current investigations of emotions and mathematical cognition - Includes perspectives from cognitive experimental psychology, neuroscience, and from sociocultural, semiotic, and discursive approaches - Explores the role of anxiety in mathematical learning - Synthesizes unifies the work of multiple sub-disciplines in one place

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

The first systematic collaboration between cognitive scientists and sports psychologists considers the mind–body relationship from the perspective of athletic skill and sports practice. This landmark work is the first systematic collaboration between cognitive scientists and sports psychologists that considers the mind–body relationship from the perspective of athletic skill and sports practice. With twenty-six chapters by leading researchers, the book connects and integrates findings from fields that range from philosophy of mind to sociology of sports. The chapters show not only that sports can tell scientists how the human mind works but also that the scientific study of the human mind can help athletes succeed. Sports psychology research has always focused on the themes, notions, and models of embodied cognition; embodied cognition, in turn, has found striking confirmation of its theoretical claims in the psychological accounts of sports performance and athletic skill. Athletic skill is a legitimate form of intelligence, involving cognitive faculties no less sophisticated and complex than those required by mathematical problem solving. After presenting the key concepts necessary for applying embodied cognition to sports psychology, the book discusses skill disruption (the tendency to “choke” under pressure); sensorimotor skill acquisition and how training correlates to the development of cognitive faculties; the intersubjective and social dimension of sports skills, seen in team sports; sports practice in cultural and societal contexts; the notion of “affordance” and its significance for ecological psychology and embodied cognition theory; and the mind's predictive capabilities, which enable anticipation, creativity, improvisation, and imagination in sports performance. Contributors Ana Maria Abreu, Kenneth Aggerholm, Salvatore Maria Aglioti, Jesús Ilundáin-Agurruza, Duarte Araújo, Jürgen Beckmann, Kath Bicknell, Geoffrey P. Bingham, Jens E. Birch, Gunnar Breivik, Noel E. Brick, Massimiliano L. Cappuccio, Thomas H. Carr, Alberto Cei, Anthony Chemero, Wayne Christensen, Lincoln J. Colling, Cassie Comley, Keith Davids, Matt Dicks, Caren Diehl, Karl Erickson, Anna Esposito, Pedro Tiago Esteves, Mirko Farina, Giolo Fele, Denis Francesconi, Shaun Gallagher, Gowrishankar Ganesh, Raúl Sánchez-García, Rob Gray, Denise M. Hill, Daniel D. Hutto, Tsuyoshi Ikegami, Geir Jordet, Adam Kiefer, Michael Kirchhoff, Kevin Krein, Kenneth Liberman, Tadhg E. MacIntyre, Nelson Mauro Maldonato, David L. Mann, Richard S. W. Masters, Patrick McGivern, Doris McIlwain, Michele Merritt, Christopher Mesagno, Vegard Fusche Moe, Barbara Gail Montero, Aidan P. Moran, David Moreau, Hiroki Nakamoto, Alberto Oliverio, David Papineau, Gert-Jan Pepping, Miriam Reiner, Ian Renshaw, Michael A. Riley, Zuzanna Rucinska, Lawrence Shapiro, Paula Silva, Shannon Spaulding, John Sutton, Phillip D. Tomporowski, John Toner, Andrew D. Wilson, Audrey Yap, Qin Zhu, Christopher Madan