Image Schema Theory And Mathematical Cognition

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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.

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.

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.

Conceptual Spaces

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Author : Peter Gardenfors
language : en
Publisher: MIT Press
Release Date : 2004-01-30

Conceptual Spaces written by Peter Gardenfors and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-30 with Psychology categories.

Within cognitive science, two approaches currently dominate the problem of modeling representations. The symbolic approach views cognition as computation involving symbolic manipulation. Connectionism, a special case of associationism, models associations using artificial neuron networks. Peter Gärdenfors offers his theory of conceptual representations as a bridge between the symbolic and connectionist approaches. Symbolic representation is particularly weak at modeling concept learning, which is paramount for understanding many cognitive phenomena. Concept learning is closely tied to the notion of similarity, which is also poorly served by the symbolic approach. Gärdenfors's theory of conceptual spaces presents a framework for representing information on the conceptual level. A conceptual space is built up from geometrical structures based on a number of quality dimensions. The main applications of the theory are on the constructive side of cognitive science: as a constructive model the theory can be applied to the development of artificial systems capable of solving cognitive tasks. Gärdenfors also shows how conceptual spaces can serve as an explanatory framework for a number of empirical theories, in particular those concerning concept formation, induction, and semantics. His aim is to present a coherent research program that can be used as a basis for more detailed investigations.

Embodiment In Cognition And Culture

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Author : John Michael Krois
language : en
Publisher: John Benjamins Publishing
Release Date : 2007-08-08

Embodiment In Cognition And Culture written by John Michael Krois and has been published by John Benjamins Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-08 with Psychology categories.

This volume shows that the notions of embodied or situated cognition, which have transformed the scientific study of intelligence have the potential to reorient cultural studies as well. The essays adapt and amplify embodied cognition in such different fields as art history, literature, history of science, religious studies, philosophy, biology, and cognitive science. The topics include the biological genesis of teleology, the dependence of meaning in signs upon biological embodiment, the notion of image schema and the concept of force in cognitive semantics, pictorial self-portraiture as a means to study self-perception, the difference between reading aloud and silent reading as a way to make sense of literary texts, intermodal (kinesthetic) understanding of art, psychosomatic medicine, laughter as a medical and ethical phenomenon, the valuation of laughter and the body in religion, and how embodied cognition revives and extends earlier attempts to develop a philosophical anthropology. (Series A)

The Body In Mathematics

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Author :
language : en
Publisher: BRILL
Release Date : 2024-12-30

The Body In Mathematics written by and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-30 with Education categories.

An embodied perspective on mathematical thinking, teaching and learning has grown from early theoretical and empirical work in the 90’s to a diverse and productive collection of approaches today. The aim of this book is to survey the landscape of these approaches and to provide empirical examples of research and an in-depth analysis of the most influential perspectives on embodiment and mathematics. More particularly, the book clarifies differences and points of contact among several theoretical and methodological frameworks that all take embodiment as a core construct in understanding mathematical thinking, and illustrates in a concrete way the affordances of each of these frameworks. Contributors are: Dor Abrahamson, Martha W. Alibali, Corey Brady, James A. Dixon, Laurie Edwards, Virginia J. Flood, Susan Gerofsky, Christina Krause, Ricardo Nemirovsky, Matthew Petersen, Luis Radford, Wolff-Michael Roth, Anna Shvarts, and Ashwin Vaidya.

The Contents Of Perceptual Experience A Kantian Perspective

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Author : Anna Tomaszewska
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2014-10-08

The Contents Of Perceptual Experience A Kantian Perspective written by Anna Tomaszewska and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-08 with Philosophy categories.

The book addresses the debate on whether the representational content of perceptual experience is conceptual or non-conceptual, by bringing out the points of comparison between Kant’s conception of intuition and the contemporary accounts of non-conceptual content, encountered in the writings of G. Evans, Ch. Peacocke, F. Dretske, T. Crane, M. G. F. Martin, and others. Following R. Aquila’s reading of Kant’s conception of representation, the author argues that intuition (Anschauung, intuitus) provides the most basic form of intentionality – pre-conceptual reference to objects, which underlies the acts of conceptualization and judgment. The book advances an interpretation of Kant’s theory of experience in the light of such questions as: Does conscious perceptual experience of objects require that subjects possess concepts of these objects? Do the contents of experience differ from the contents of beliefs or judgments? And if they do, what accounts for this difference? These questions take us to the most puzzling philosophical topic of the relation between mind and world. Anna Tomaszewska argues that this relation does not involve conceptual capacities alone but also, on the most basic level of perceptual experience, pre-cognitive “sensible intuition,” enabling relatedness to objects that remains uninformed by concepts. In a nutshell, on her interpretation, Kant can be taken to subscribe to the view that perceptual cognition does not have rational underpinnings.

Psychological Studies In The Teaching Learning And Assessment Of Mathematics

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Author : Yiming Cao
language : en
Publisher: Frontiers Media SA
Release Date : 2024-05-31

Psychological Studies In The Teaching Learning And Assessment Of Mathematics written by Yiming Cao 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 2024-05-31 with Science categories.

There is no doubt that the onset of a new decade has brought high expectations of academic progress for scholars, especially for researchers in mathematics education. The International Group for the Psychology of Mathematics Education was born in 1976, which focused on the international exchange of knowledge in the psychology of mathematics education, the promotion of interdisciplinary research with psychologists, mathematicians and mathematics teachers, and the development of the psychological aspects of teaching and learning mathematics and its implications.

Poetic Logic And The Origins Of The Mathematical Imagination

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Author : Marcel Danesi
language : en
Publisher: Springer Nature
Release Date : 2023-09-02

Poetic Logic And The Origins Of The Mathematical Imagination 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 2023-09-02 with Mathematics categories.

This book treats eighteenth-century Italian philosopher Giambattista Vico’s theory of poetic logic for the first time as the originating force in mathematics, transforming instinctive counting and spatial perception into poetic (metaphorical) symbolism that dovetails with the origin of language. It looks at current work on mathematical cognition (from Lakoff and Núñez to Butterworth, Dehaene, and beyond), matching it against the poetic logic paradigm. In a sense, it continues from where Kasner and Newman left off, connecting contemporary research on the mathematical mind to the idea that the products of early mathematics were virtually identical to the first forms of poetic language. As such, this book informs the current research on mathematical cognition from a different angle, by looking back at a still relatively unknown philosopher within mathematics. The aim of this volume is to look broadly at what constitutes the mathematical mind through the Vichian lens of poetic logic. Vico was among the first to suggest that the essential nature of mind could be unraveled indirectly by reconstructing the sources of its “modifications” (his term for “creations”); that is, by examining the creation and function of symbols, words, and all the other uniquely human artifacts—including mathematics—the mind has allowed humans to establish “the world of civil society,” Vico’s term for culture and civilization. The book is of interest to cognitive scientists working on math cognition. It presents the theory of poetic logic as Vico articulated it in his book The New Science, examining its main premises and then applying it to an interpretation of the ongoing work in math cognition. It will also be of interest to the general public, since it presents a history of early mathematics through the lens of an idea that has borne fruit in understanding the origin of language and symbols more broadly.

New Directions In Cognitive Linguistics

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Author : Vyvyan Evans
language : en
Publisher: John Benjamins Publishing
Release Date : 2009

New Directions In Cognitive Linguistics written by Vyvyan Evans and has been published by John Benjamins Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Language Arts & Disciplines categories.

Nearly three decades since the publication of the seminal "Metaphors We Live By," Cognitive Linguistics is now a mature theoretical and empirical enterprise, with a voluminous associated literature. It is arguably the most rapidly expanding school in modern linguistics, and one of the most exciting areas of research within the interdisciplinary project known as cognitive science. As such, Cognitive Linguistics is increasingly attracting a broad readership both within linguistics as well as from neighbouring disciplines including other cognitive and social sciences, and from disciplines within the humanities. This volume contains over 20 papers by leading experts in cognitive linguistics which survey the state of the art and new directions in cognitive linguistics. The volume is divided into 5 sections covering all the traditional areas of study in cognitive linguistics, as well as newer areas, including applications and extensions. Sections include: Approaches to semantics; Approaches to metaphor and blending; Approaches to grammar; Language, embodiment and cognition; Extensions and applications of cognitive linguistics."