Number without language: comparative psychology and the evolution of numerical cognition

Number without language: comparative psychology and the evolution of numerical cognition
Author: Christian Agrillo
Publisher: Frontiers E-books
Total Pages: 135
Release: 2013-07-09
Genre:
ISBN: 2889191435

Despite once being reserved as perhaps a unique human ability, and one reliant on language, comparative and developmental research has shown that numerical abilities predate verbal language. Human infants and several non-human species have been shown to represent numerical information in varied contexts, and the capacity to discriminate both small and large numerosities has been reported in mammals, birds, amphibians, and fish. The similar performances often observed across such diverse species have led to the hypothesis that there may be shared core systems underlying number abilities of non-human species and human non-verbal numerical abilities. Thus, animal models could provide useful insight on our comprehension of numerical cognition, and in particular the evolution of non-verbal numerical abilities. Several aspects need be clarified. For instance the ontogeny of numerical competence in animals has been rarely investigated. It is unclear whether all species can represent numerical information or, on the contrary, use non-numerical continuous quantities that co-vary with number (such as cumulative surface area, density and space). In addition, the existence of a specific mechanism to process small numbers (<4), traditionally called ‘subitizing’, is highly debated. Neuro-anatomical correlates of numerical competence need also to be clarified, as well as brain lateralization of non-verbal numerical abilities. We solicit contributions in a variety of formats, from empirical research reports, to methodological, review and opinion papers that can advance our understanding on the topic. We particularly invite papers exploring the following issues: 1. Do non-human numerical abilities improve in precision across development as observed in human infants? 2. Can animals discriminate between quantities by using numerical information only? Is number a ‘last resort’ strategy adopted when no other continuous quantity is available? 3. To what extent do animals show similar numerical abilities? Do they show evidence of a subitizing-like process? 4. What kinds of things can be represented numerically by animals? What evidence is there for cross-modal numerical judgments, or judgments of sub-sets of stimuli, or perhaps even counting-like behavior in non-human species? 5. Do comparative studies help us to shed light on the neuro-anatomical correlates of number? By bringing together different studies on these issues we aim to contribute to a more complete picture of numerical competence in the absence of language.

The Oxford Handbook of Numerical Cognition

The Oxford Handbook of Numerical Cognition
Author: Roi Cohen Kadosh
Publisher: Oxford Library of Psychology
Total Pages: 1217
Release: 2015
Genre: Medical
ISBN: 0199642346

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.

Development of Mathematical Cognition

Development of Mathematical Cognition
Author: Daniel B. Berch
Publisher: Academic Press
Total Pages: 418
Release: 2015-10-03
Genre: Psychology
ISBN: 0128019093

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

Dyscalculia: from Science to Education

Dyscalculia: from Science to Education
Author: Brian Butterworth
Publisher: Routledge
Total Pages: 221
Release: 2018-12-07
Genre: Education
ISBN: 1134969457

Dyscalulia is caused by developmental differences in the structures and patterns of activation in the brain. Affected learners require timely and tailored interventions, informed and shaped by neurological findings. In this ground-breaking text, Professor Butterworth explains the latest research in the science of dyscalculia in a clear non-technical way. Crucially, he shows that dyscalculia is caused by a core deficit in the ability to accurately and swiflty represent the number of objects in a set, an ability that underpins learning arithmetic, and clearly differentiates dyscalculia from other forms of early maths learning difficulties. Butterworth uniquely links research to pedagogical practice, to explain how science can be used for the identification of dyscalculia, and for the development of strategies to best help affected learners acquire arithmetical competence. The text provides robust interventions that focus on helping pupils to strengthen their ability to process numerosities and link them to the familiar number symbols, counting words and digits. It shows that science has clear and specific implications both for assessment and intervention. A landmark publication for the dyscalculia community, Dyscalculia: From Science to Education will become an essential resource for teachers, professionals, parents and sufferers, as well as for university courses that include specific learning disabilities.

Studying Animal Languages Without Translation: An Insight from Ants

Studying Animal Languages Without Translation: An Insight from Ants
Author: Zhanna Reznikova
Publisher: Springer
Total Pages: 96
Release: 2016-12-14
Genre: Science
ISBN: 3319449184

The Author of this new volume on ant communication demonstrates that information theory is a valuable tool for studying the natural communication of animals. To do so, she pursues a fundamentally new approach to studying animal communication and “linguistic” capacities on the basis of measuring the rate of information transmission and the complexity of transmitted messages. Animals’ communication systems and cognitive abilities have long-since been a topic of particular interest to biologists, psychologists, linguists, and many others, including researchers in the fields of robotics and artificial intelligence. The main difficulties in the analysis of animal language have to date been predominantly methodological in nature. Addressing this perennial problem, the elaborated experimental paradigm presented here has been applied to ants, and can be extended to other social species of animals that have the need to memorize and relay complex “messages”. Accordingly, the method opens exciting new dimensions in the study of natural communications in the wild.

The Measure of All Minds

The Measure of All Minds
Author: José Hernández-Orallo
Publisher: Cambridge University Press
Total Pages: 632
Release: 2017-01-11
Genre: Computers
ISBN: 1316943208

Are psychometric tests valid for a new reality of artificial intelligence systems, technology-enhanced humans, and hybrids yet to come? Are the Turing Test, the ubiquitous CAPTCHAs, and the various animal cognition tests the best alternatives? In this fascinating and provocative book, José Hernández-Orallo formulates major scientific questions, integrates the most significant research developments, and offers a vision of the universal evaluation of cognition. By replacing the dominant anthropocentric stance with a universal perspective where living organisms are considered as a special case, long-standing questions in the evaluation of behavior can be addressed in a wider landscape. Can we derive task difficulty intrinsically? Is a universal g factor - a common general component for all abilities - theoretically possible? Using algorithmic information theory as a foundation, the book elaborates on the evaluation of perceptual, developmental, social, verbal and collective features and critically analyzes what the future of intelligence might look like.

Cognition, Evolution, and Behavior

Cognition, Evolution, and Behavior
Author: Sara J. Shettleworth
Publisher: Oxford University Press
Total Pages: 715
Release: 2010-04-10
Genre: Psychology
ISBN: 0199717818

How do animals perceive the world, learn, remember, search for food or mates, communicate, and find their way around? Do any nonhuman animals count, imitate one another, use a language, or have a culture? What are the uses of cognition in nature and how might it have evolved? What is the current status of Darwin's claim that other species share the same "mental powers" as humans, but to different degrees? In this completely revised second edition of Cognition, Evolution, and Behavior, Sara Shettleworth addresses these questions, among others, by integrating findings from psychology, behavioral ecology, and ethology in a unique and wide-ranging synthesis of theory and research on animal cognition, in the broadest sense--from species-specific adaptations of vision in fish and associative learning in rats to discussions of theory of mind in chimpanzees, dogs, and ravens. She reviews the latest research on topics such as episodic memory, metacognition, and cooperation and other-regarding behavior in animals, as well as recent theories about what makes human cognition unique. In every part of this new edition, Shettleworth incorporates findings and theoretical approaches that have emerged since the first edition was published in 1998. The chapters are now organized into three sections: Fundamental Mechanisms (perception, learning, categorization, memory), Physical Cognition (space, time, number, physical causation), and Social Cognition (social knowledge, social learning, communication). Shettleworth has also added new chapters on evolution and the brain and on numerical cognition, and a new chapter on physical causation that integrates theories of instrumental behavior with discussions of foraging, planning, and tool using.

Cognition, Evolution, and Behavior

Cognition, Evolution, and Behavior
Author: Sara J. Shettleworth
Publisher: Oxford University Press
Total Pages: 715
Release: 2009-12-30
Genre: Psychology
ISBN: 0199886385

How do animals perceive the world, learn, remember, search for food or mates, communicate, and find their way around? Do any nonhuman animals count, imitate one another, use a language, or have a culture? What are the uses of cognition in nature and how might it have evolved? What is the current status of Darwin's claim that other species share the same "mental powers" as humans, but to different degrees? In this completely revised second edition of Cognition, Evolution, and Behavior, Sara Shettleworth addresses these questions, among others, by integrating findings from psychology, behavioral ecology, and ethology in a unique and wide-ranging synthesis of theory and research on animal cognition, in the broadest sense--from species-specific adaptations of vision in fish and associative learning in rats to discussions of theory of mind in chimpanzees, dogs, and ravens. She reviews the latest research on topics such as episodic memory, metacognition, and cooperation and other-regarding behavior in animals, as well as recent theories about what makes human cognition unique. In every part of this new edition, Shettleworth incorporates findings and theoretical approaches that have emerged since the first edition was published in 1998. The chapters are now organized into three sections: Fundamental Mechanisms (perception, learning, categorization, memory), Physical Cognition (space, time, number, physical causation), and Social Cognition (social knowledge, social learning, communication). Shettleworth has also added new chapters on evolution and the brain and on numerical cognition, and a new chapter on physical causation that integrates theories of instrumental behavior with discussions of foraging, planning, and tool using.

Reckonings

Reckonings
Author: Stephen Chrisomalis
Publisher: MIT Press
Total Pages: 265
Release: 2020-12-15
Genre: Mathematics
ISBN: 026236087X

Insights from the history of numerical notation suggest that how humans write numbers is an active choice involving cognitive and social factors. Over the past 5,000 years, more than 100 methods of numerical notation--distinct ways of writing numbers--have been developed and used by specific communities. Most of these are barely known today; where they are known, they are often derided as cognitively cumbersome and outdated. In Reckonings, Stephen Chrisomalis considers how humans past and present use numerals, reinterpreting historical and archaeological representations of numerical notation and exploring the implications of why we write numbers with figures rather than words.

Oxford Handbook of Numerical Cognition

Oxford Handbook of Numerical Cognition
Author: Roi Cohen Kadosh
Publisher: Oxford University Press
Total Pages: 1515
Release: 2015-07-30
Genre: Psychology
ISBN: 0191036013

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.