Diagrams And Gestures

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Diagrams and Gestures

Author : Francesco La Mantia,Charles Alunni,Fernando Zalamea
Publisher : Springer Nature
Page : 443 pages
File Size : 49,7 Mb
Release : 2023-09-16
Category : Technology & Engineering
ISBN : 9783031291111

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Diagrams and Gestures by Francesco La Mantia,Charles Alunni,Fernando Zalamea Pdf

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.

Mathematics and the Body

Author : Elizabeth de Freitas,Nathalie Sinclair
Publisher : Cambridge University Press
Page : 287 pages
File Size : 50,7 Mb
Release : 2014-06-02
Category : Education
ISBN : 9781107039483

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Mathematics and the Body by Elizabeth de Freitas,Nathalie Sinclair Pdf

This book expands the landscape of research in mathematics education by analyzing how the body influences mathematical thinking.

Contemporary Research and Perspectives on Early Childhood Mathematics Education

Author : Iliada Elia,Joanne Mulligan,Ann Anderson,Anna Baccaglini-Frank,Christiane Benz
Publisher : Springer
Page : 326 pages
File Size : 50,7 Mb
Release : 2018-02-21
Category : Education
ISBN : 9783319734323

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Contemporary Research and Perspectives on Early Childhood Mathematics Education by Iliada Elia,Joanne Mulligan,Ann Anderson,Anna Baccaglini-Frank,Christiane Benz Pdf

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?

Spatial Language and Dialogue

Author : Kenny R. Coventry,Thora Tenbrink,John Bateman
Publisher : OUP Oxford
Page : 228 pages
File Size : 50,7 Mb
Release : 2009-04-23
Category : Language Arts & Disciplines
ISBN : 9780191567834

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Spatial Language and Dialogue by Kenny R. Coventry,Thora Tenbrink,John Bateman Pdf

This book considers how people talk about the location of objects and places. Spatial language has occupied many researchers across diverse fields, such as linguistics, psychology, GIScience, architecture, and neuroscience. However, the vast majority of work in this area has examined spatial language in monologue situations, and often in highly artificial and restricted settings. Yet there is a growing recognition in the language research community that dialogue rather than monologue should be a starting point for language understanding. Hence, the current zeitgeist in both language research and robotics/AI demands an integrated examination of spatial language in dialogue settings. The present volume provides such integration for the first time and reports on the latest developments in this important field. Written in a way that will appeal to researchers across disciplines from graduate level upwards, the book sets the agenda for future research in spatial conceptualization and communication.

Mathematics and Computation in Music

Author : Octavio A. Agustín-Aquino,Emilio Lluis-Puebla,Mariana Montiel
Publisher : Springer
Page : 373 pages
File Size : 54,6 Mb
Release : 2017-11-17
Category : Computers
ISBN : 9783319718279

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Mathematics and Computation in Music by Octavio A. Agustín-Aquino,Emilio Lluis-Puebla,Mariana Montiel Pdf

This book constitutes the thoroughly refereed proceedings of the 6th International Conference on Mathematics and Computation in Music, MCM 2017, held in Mexico City, Mexico, in June 2017. The 26 full papers and 2 short papers presented were carefully reviewed and selected from 40 submissions. The papers feature research that combines mathematics or computation with music theory, music analysis, composition, and performance. They are organized in topical sections on algebraic models, computer assisted performance, Fourier analysis, Gesture Theory, Graph Theory and Combinatorics, Machine Learning, and Probability and Statistics in Musical Analysis and Composition.

When Form Becomes Substance

Author : Luciano Boi,Carlos Lobo
Publisher : Unknown
Page : 0 pages
File Size : 44,6 Mb
Release : 2022
Category : Electronic
ISBN : 3030831264

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When Form Becomes Substance by Luciano Boi,Carlos Lobo Pdf

This interdisciplinary volume collects contributions from experts in their respective fields with as common theme diagrams. Diagrams play a fundamental role in the mathematical visualization and philosophical analysis of forms in space. Some of the most interesting and profound recent developments in contemporary sciences, whether in topology, geometry, dynamic systems theory, quantum field theory or string theory, have been made possible by the introduction of new types of diagrams, which, in addition to their essential role in the discovery of new classes of spaces and phenomena, have contributed to enriching and clarifying the meaning of the operations, structures and properties that are at the heart of these spaces and phenomena. The volume gives a closer look at the scope and the nature of diagrams as constituents of mathematical and physical thought, their function in contemporary artistic work, and appraise, in particular, the actual importance of the diagrams of knots, of braids, of fields, of interaction, of strings in topology and geometry, in quantum physics and in cosmology, but also in theory of perception, in plastic arts and in philosophy. The editors carefully curated this volume to be an inspiration to students and researchers in philosophy, phenomenology, mathematics and the sciences, as well as artists, musicians and the general interested audience.

Visualisation and Epistemological Access to Mathematics Education in Southern Africa

Author : Marc Schäfer
Publisher : Taylor & Francis
Page : 238 pages
File Size : 53,7 Mb
Release : 2023-04-27
Category : Education
ISBN : 9781000859119

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Visualisation and Epistemological Access to Mathematics Education in Southern Africa by Marc Schäfer Pdf

This book demonstrates that using visualisation processes in mathematics education can help to enhance teaching and learning and bridge the inequality gap that exists between well-resourced and under-resourced schools in Southern Africa. Drawing on classroom research conducted in the Southern African region, it examines how epistemological access in a context of gross inequality can be constructively addressed by providing research-based solutions and recommendations. The book outlines the visualisation process as an integral but often overlooked process of mathematics teaching and learning. It goes beyond the traditional understanding of visualisation processes such as picture forming and using tools and considers visualisation processes that are semiotic in nature and includes actions such as gestures in combination with language. It adds value to the visualisation in mathematics education research discourse and deliberation in Africa. With a unique focus on Southern Africa and open avenues for further research and collaboration in the region, it will be a highly relevant reading for researchers, academics and post-graduate students of mathematics education, comparative education and social justice education.

The Anatomy of Meaning

Author : N. J. Enfield
Publisher : Cambridge University Press
Page : 253 pages
File Size : 49,9 Mb
Release : 2009-03-26
Category : Language Arts & Disciplines
ISBN : 9781139478694

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The Anatomy of Meaning by N. J. Enfield Pdf

How do we understand what others are trying to say? The answer cannot be found in language alone. Words are linked to hand gestures and other visible phenomena to create unified 'composite utterances'. In this book N. J. Enfield presents original case studies of speech-with-gesture based on fieldwork carried out with speakers of Lao (a language of Southeast Asia). He examines pointing gestures (including lip and finger-pointing) and illustrative gestures (examples include depicting fish traps and tracing kinship relations). His detailed analyses focus on the 'semiotic unification' problem, that is, how to make a single interpretation when multiple signs occur together. Enfield's arguments have implications for all branches of science with a stake in meaning and its place in human social life. The book will appeal to all researchers interested in the study of meaning, including linguists, anthropologists, and psychologists.

Signs of Signification

Author : Norma Presmeg,Luis Radford,Wolff-Michael Roth,Gert Kadunz
Publisher : Springer
Page : 368 pages
File Size : 54,5 Mb
Release : 2018-01-23
Category : Education
ISBN : 9783319702872

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Signs of Signification by Norma Presmeg,Luis Radford,Wolff-Michael Roth,Gert Kadunz Pdf

This book discusses a significant area of mathematics education research in the last two decades and presents the types of semiotic theories that are employed in mathematics education. Following on the summary of significant issues presented in the Topical Survey, Semiotics in Mathematics Education, this book not only introduces readers to semiotics as the science of signs, but it also elaborates on issues that were highlighted in the Topical Survey. In addition to an introduction and a closing chapter, it presents 17 chapters based on presentations from Topic Study Group 54 at the ICME-13 (13th International Congress on Mathematical Education). The chapters are divided into four major sections, each of which has a distinct focus. After a brief introduction, each section starts with a chapter or chapters of a theoretical nature, followed by others that highlight the significance and usefulness of the relevant theory in empirical research.

Proceedings of the Twentieth Annual Conference of the Cognitive Science Society

Author : Morton Ann Gernsbacher,Sharon J. Derry
Publisher : Routledge
Page : 1304 pages
File Size : 50,9 Mb
Release : 2022-05-13
Category : Psychology
ISBN : 9781317708445

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Proceedings of the Twentieth Annual Conference of the Cognitive Science Society by Morton Ann Gernsbacher,Sharon J. Derry Pdf

This volume features the complete text of the material presented at the Twentieth Annual Conference of the Cognitive Science Society. As in previous years, the symposium included an interesting mixture of papers on many topics from researchers with diverse backgrounds and different goals, presenting a multifaceted view of cognitive science. This volume contains papers, posters, and summaries of symposia presented at the leading conference that brings cognitive scientists together to discuss issues of theoretical and applied concern. Submitted presentations are represented in these proceedings as "long papers" (those presented as spoken presentations and "full posters" at the conference) and "short papers" (those presented as "abstract posters" by members of the Cognitive Science Society).

Teaching Mathematics as to be Meaningful – Foregrounding Play and Children’s Perspectives

Author : Hanna Palmér,Camilla Björklund,Elin Reikerås,Jessica Elofsson
Publisher : Springer Nature
Page : 265 pages
File Size : 48,9 Mb
Release : 2023-10-29
Category : Education
ISBN : 9783031376634

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Teaching Mathematics as to be Meaningful – Foregrounding Play and Children’s Perspectives by Hanna Palmér,Camilla Björklund,Elin Reikerås,Jessica Elofsson Pdf

This open access book’s theme is Teaching mathematics as to be meaningful – foregrounding children’s play and perspectives. It discusses the relation between teachers, children and mathematical content within the context of play with a particular focus on the framing of these relations within this context, which is an important theme in the debate on whether teaching should be integrated with or separated from children’s play. The work further addresses meaningfulness in the learning process, particularly from the child’s perspective. Globally, most guidelines and curricula for early childhood education mention play as one of the key features for young children’s learning. Still, there are quite different views on the definitions of play and in what ways play should become part of children’s learning. The chapters of the book mirror the research topics presented at the fifth POEM conference in May 2022 divided into four sub-themes: Play and learning, Children’s perspectives on mathematics, Teachers’ competencies and Theorizing aspects of early mathematics education.

Uses of Technology in Primary and Secondary Mathematics Education

Author : Lynda Ball,Paul Drijvers,Silke Ladel,Hans-Stefan Siller,Michal Tabach,Colleen Vale
Publisher : Springer
Page : 440 pages
File Size : 48,9 Mb
Release : 2018-05-14
Category : Education
ISBN : 9783319765754

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Uses of Technology in Primary and Secondary Mathematics Education by Lynda Ball,Paul Drijvers,Silke Ladel,Hans-Stefan Siller,Michal Tabach,Colleen Vale Pdf

This book provides international perspectives on the use of digital technologies in primary, lower secondary and upper secondary school mathematics. It gathers contributions by the members of three topic study groups from the 13th International Congress on Mathematical Education and covers a range of themes that will appeal to researchers and practitioners alike. The chapters include studies on technologies such as virtual manipulatives, apps, custom-built assessment tools, dynamic geometry, computer algebra systems and communication tools. Chiefly focusing on teaching and learning mathematics, the book also includes two chapters that address the evidence for technologies’ effects on school mathematics. The diverse technologies considered provide a broad overview of the potential that digital solutions hold in connection with teaching and learning. The chapters provide both a snapshot of the status quo of technologies in school mathematics, and outline how they might impact school mathematics ten to twenty years from now.

The Impulse to Gesture

Author : Simon Harrison
Publisher : Cambridge University Press
Page : 253 pages
File Size : 52,5 Mb
Release : 2018-08-23
Category : Language Arts & Disciplines
ISBN : 9781108417204

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The Impulse to Gesture by Simon Harrison Pdf

Establishing the inseparability of grammar and gesture, this book explains what determines when, how, and why we gesture.

When Form Becomes Substance

Author : Luciano Boi,Carlos Lobo
Publisher : Springer Nature
Page : 607 pages
File Size : 52,6 Mb
Release : 2022-11-30
Category : Science
ISBN : 9783030831257

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When Form Becomes Substance by Luciano Boi,Carlos Lobo Pdf

This interdisciplinary volume collects contributions from experts in their respective fields with as common theme diagrams. Diagrams play a fundamental role in the mathematical visualization and philosophical analysis of forms in space. Some of the most interesting and profound recent developments in contemporary sciences, whether in topology, geometry, dynamic systems theory, quantum field theory or string theory, have been made possible by the introduction of new types of diagrams, which, in addition to their essential role in the discovery of new classes of spaces and phenomena, have contributed to enriching and clarifying the meaning of the operations, structures and properties that are at the heart of these spaces and phenomena. The volume gives a closer look at the scope and the nature of diagrams as constituents of mathematical and physical thought, their function in contemporary artistic work, and appraise, in particular, the actual importance of the diagrams of knots, of braids, of fields, of interaction, of strings in topology and geometry, in quantum physics and in cosmology, but also in theory of perception, in plastic arts and in philosophy. The editors carefully curated this volume to be an inspiration to students and researchers in philosophy, phenomenology, mathematics and the sciences, as well as artists, musicians and the general interested audience.

Diagram Groups

Author : Victor Guba,Mark Sapir
Publisher : American Mathematical Soc.
Page : 130 pages
File Size : 50,6 Mb
Release : 1997
Category : Geometric group theory
ISBN : 9780821806395

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Diagram Groups by Victor Guba,Mark Sapir Pdf

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.