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Author: Francesco La Mantia
Publisher: Springer Nature
ISBN: 3031291115
Category : Technology & Engineering
Languages : en
Pages : 443
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Book Description
Drawing a line, and then another, and another. Go back from the lines to the movements they capture and see gestures in them: not spatial displacements, but modes of knowledge that pass through the exercise of the body. Discovering something new in a gesture: the line that contracts into a point or the point that expands into a zone, perhaps sinking into a hole. Thus experiencing a diagram: a becoming other inscribed in the novelty of the gesture and in the changes of the forms it shapes. This and much more is discussed in the essays gathered in Diagrams and Gestures. Resulting from trans-disciplinary work between mathematicians, philosophers, linguists and semioticians, the volume delivers an up-to-date account of the most valuable research on the connections between gesture and diagram. As one of the most important themes in contemporary thought, the study of these connections poses a challenge for the future: to elaborate a theory that is equal to new and stimulating research methodologies. We call this theory a philosophy of diagrammatic gestures.
Author: Francesco La Mantia
Publisher: Springer Nature
ISBN: 3031291115
Category : Technology & Engineering
Languages : en
Pages : 443
Get Book Here
Book Description
Drawing a line, and then another, and another. Go back from the lines to the movements they capture and see gestures in them: not spatial displacements, but modes of knowledge that pass through the exercise of the body. Discovering something new in a gesture: the line that contracts into a point or the point that expands into a zone, perhaps sinking into a hole. Thus experiencing a diagram: a becoming other inscribed in the novelty of the gesture and in the changes of the forms it shapes. This and much more is discussed in the essays gathered in Diagrams and Gestures. Resulting from trans-disciplinary work between mathematicians, philosophers, linguists and semioticians, the volume delivers an up-to-date account of the most valuable research on the connections between gesture and diagram. As one of the most important themes in contemporary thought, the study of these connections poses a challenge for the future: to elaborate a theory that is equal to new and stimulating research methodologies. We call this theory a philosophy of diagrammatic gestures.
Author: Elizabeth de Freitas
Publisher: Cambridge University Press
ISBN: 1107039487
Category : Education
Languages : en
Pages : 287
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Book Description
This book expands the landscape of research in mathematics education by analyzing how the body influences mathematical thinking.
Author: Barbara Dancygier
Publisher: Cambridge University Press
ISBN: 1108146139
Category : Language Arts & Disciplines
Languages : en
Pages : 1427
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Book Description
The best survey of cognitive linguistics available, this Handbook provides a thorough explanation of its rich methodology, key results, and interdisciplinary context. With in-depth coverage of the research questions, basic concepts, and various theoretical approaches, the Handbook addresses newly emerging subfields and shows their contribution to the discipline. The Handbook introduces fields of study that have become central to cognitive linguistics, such as conceptual mappings and construction grammar. It explains all the main areas of linguistic analysis traditionally expected in a full linguistics framework, and includes fields of study such as language acquisition, sociolinguistics, diachronic studies, and corpus linguistics. Setting linguistic facts within the context of many other disciplines, the Handbook will be welcomed by researchers and students in a broad range of disciplines, including linguistics, cognitive science, neuroscience, gesture studies, computational linguistics, and multimodal studies.
Author: Victor Guba
Publisher: American Mathematical Soc.
ISBN: 0821806394
Category : Mathematics
Languages : en
Pages : 130
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Book Description
Diagram groups are groups consisting of spherical diagrams (pictures) over monoid presentations. They can be also defined as fundamental groups of the Squier complexes associated with monoid presentations. The authors show that the class of diagram groups contains some well-known groups, such as the R. Thompson group F. This class is closed under free products, finite direct products, and some other group-theoretical operations. The authors develop combinatorics on diagrams similar to the combinatorics on words. This helps in finding some structure and algorithmic properties of diagram groups. Some of these properties are new even for R. Thompson's group F. In particular, the authors describe the centralizers of elements in F, prove that it has solvable conjugacy problems, etc.
Author: J. Scott Carter
Publisher: American Mathematical Society
ISBN: 1470476339
Category : Mathematics
Languages : en
Pages : 273
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Book Description
In this book the authors develop the theory of knotted surfaces in analogy with the classical case of knotted curves in 3-dimensional space. In the first chapter knotted surface diagrams are defined and exemplified; these are generic surfaces in 3-space with crossing information given. The diagrams are further enhanced to give alternative descriptions. A knotted surface can be described as a movie, as a kind of labeled planar graph, or as a sequence of words in which successive words are related by grammatical changes. In the second chapter, the theory of Reidemeister moves is developed in the various contexts. The authors show how to unknot intricate examples using these moves. The third chapter reviews the braid theory of knotted surfaces. Examples of the Alexander isotopy are given, and the braid movie moves are presented. In the fourth chapter, properties of the projections of knotted surfaces are studied. Oriented surfaces in 4-space are shown to have planar projections without cusps and without branch points. Signs of triple points are studied. Applications of triple-point smoothing that include proofs of triple-point formulas and a proof of Whitney's congruence on normal Euler classes are presented. The fifth chapter indicates how to obtain presentations for the fundamental group and the Alexander modules. Key examples are worked in detail. The Seifert algorithm for knotted surfaces is presented and exemplified. The sixth chapter relates knotted surfaces and diagrammatic techniques to 2-categories. Solutions to the Zamolodchikov equations that are diagrammatically obtained are presented. The book contains over 200 illustrations that illuminate the text. Examples are worked out in detail, and readers have the opportunity to learn first-hand a series of remarkable geometric techniques.
Author: David McNeill
Publisher: Cambridge University Press
ISBN: 9780521777612
Category : Language Arts & Disciplines
Languages : en
Pages : 424
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Book Description
Landmark study on the role of gestures in relation to speech and thought.
Author: Geneviève Calbris
Publisher: John Benjamins Publishing
ISBN: 9027228477
Category : Language Arts & Disciplines
Languages : en
Pages : 399
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Book Description
Summarizing her pioneering work on the semiotic analysis of gestures in conversational settings, Geneviève Calbris offers a comprehensive account of her unique perspective on the relationship between gesture, speech, and thought. She highlights the various functions of gesture and especially shows how various gestural signs can be created in the same gesture by analogical links between physical and semantic elements. Originating in our world experience via mimetic and metonymic processes, these analogical links are activated by contexts of use and thus lead to a diverse range of semantic constructions rather as, from the components of a Meccano kit, many different objects can be assembled. By (re)presenting perceptual schemata that mediate between the concrete and the abstract, gesture may frequently anticipate verbal formulation. Arguing for gesture as a symbolic system in its own right that interfaces with thought and speech production, Calbris' book brings a challenging new perspective to gesture studies and will be seminal for generations of gesture researchers.
Author: Iliada Elia
Publisher: Springer
ISBN: 3319734326
Category : Education
Languages : en
Pages : 319
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Book Description
This book brings together a collection of research-based papers on current issues in early childhood mathematics education that were presented in the Topic Study Group 1 (TSG 1) at the 13th International Congress on Mathematical Education (ICME-13), held at the University of Hamburg in 2016. It will help readers understand a range of key issues that early childhood mathematics educators encounter today. Research on early childhood mathematics education has grown in recent years, due in part to the well-documented, positive relation between children’s early mathematical knowledge and their later mathematics learning, and to the considerable emphasis many countries are now placing on preschool education. The book addresses a number of central questions, including: What is mathematical structural development and how can we promote it in early childhood? How can multimodality and embodiment contribute to early mathematics learning and to acquiring a better understanding of young children’s mathematical development? How can children’s informal mathematics-related experiences affect instruction and children’s learning in different mathematics content areas? What is the role of tools, including technology and picture books, in supporting early mathematics learning? What are the challenges in early childhood mathematics education for teachers’ education and professional development?
Author: Kenny R. Coventry
Publisher: Explorations in Language and S
ISBN: 019955420X
Category : Computers
Languages : en
Pages : 227
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Book Description
This book considers how people talk about the location of objects and places. The book reports on the latest developments in the field of spatial language and sets an agenda for future research on spatial conceptualization and communication in cognitive science, computer science, psychology, and linguistics.
Author: Francesco La Mantia
Publisher: Lecture Notes in Morphogenesis
ISBN: 9783031291135
Category : Language Arts & Disciplines
Languages : en
Pages : 0
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Book Description
