Emerging Perspectives On Gesture And Embodiment In Mathematics

Author : Laurie D. Edwards,Deborah Moore-Russo,Francesca Ferrara
Publisher : IAP
Page : 279 pages
File Size : 40,6 Mb
Release : 2014-07-01
Category : Education
ISBN : 9781623965556

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Emerging Perspectives on Gesture and Embodiment in Mathematics by Laurie D. Edwards,Deborah Moore-Russo,Francesca Ferrara Pdf

The purpose of the book is to establish a common language for, and understanding of, embodiment as it applies to mathematical thinking, and to link mathematics education research to recent work in gesture studies, cognitive linguistics and the theory of embodied cognition. Just as in past decades, mathematics education experienced a "turn to the social" in which socio-cultural factors were explored, in recent years there has been a nascent "turn to the body." An increasing number of researchers and theorists in mathematics education have become interested in the fact that, although mathematics may be socially constructed, this construction is not arbitrary or unconstrained, but rather is rooted in, and shaped by, the body. All those who engage with mathematics, whether at an elementary or advanced level, share the same basic biological and cognitive capabilities, as well as certain common physical experiences that come with being humans living in a material world. In addition, the doing and communicating of mathematics is never a purely intellectual activity: it involves a wide range of bodily actions, from committing inscriptions to paper or whiteboard, to speaking, listening, gesturing and gazing. This volume will present recent research on gesture and mathematics, within a framework that addresses several levels of mathematical development. The chapters will begin with contributions that examine early mathematical and proto-mathematical knowledge, for example, the conservation of volume and counting. The role of gesture in teaching and learning arithmetic procedures will be addressed. Core concepts and tools from secondary level mathematics will be investigated, including algebra, functions and graphing. And finally, research into the embodied understanding of advanced topics in geometry and calculus will be presented. The overall goal for the volume is to acknowledge the multimodal nature of mathematical knowing, and to contribute to the creation of a model of the interactions and mutual influences of bodily motion, spatial thinking, gesture, speech and external inscriptions on mathematical thinking, communication and learning. The intended audience is researchers and theorists in mathematics education as well as graduate students in the field.

Author : Marcel Danesi
Publisher : Springer Nature
Page : 344 pages
File Size : 51,6 Mb
Release : 2019-09-14
Category : Mathematics
ISBN : 9783030225377

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Interdisciplinary Perspectives on Math Cognition by Marcel Danesi Pdf

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.

Author : Richard Barwell,Philip Clarkson,Anjum Halai,Mercy Kazima,Judit Moschkovich,Núria Planas,Mamokgethi Setati-Phakeng,Paola Valero,Martha Villavicencio Ubillús
Publisher : Springer
Page : 321 pages
File Size : 54,6 Mb
Release : 2015-11-25
Category : Education
ISBN : 9783319145112

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Mathematics Education and Language Diversity by Richard Barwell,Philip Clarkson,Anjum Halai,Mercy Kazima,Judit Moschkovich,Núria Planas,Mamokgethi Setati-Phakeng,Paola Valero,Martha Villavicencio Ubillús Pdf

*THIS BOOK WILL SOON BECOME AVAILABLE AS OPEN ACCESS BOOK* This book examines multiple facets of language diversity and mathematics education. It features renowned authors from around the world and explores the learning and teaching of mathematics in contexts that include multilingual classrooms, indigenous education, teacher education, blind and deaf learners, new media and tertiary education. Each chapter draws on research from two or more countries to illustrate important research findings, theoretical developments and practical strategies. This open access book examines multiple facets of language diversity

Author : Sheila L. Macrine,Jennifer M.B. Fugate
Publisher : MIT Press
Page : 351 pages
File Size : 47,6 Mb
Release : 2022-04-19
Category : Education
ISBN : 9780262543484

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Movement Matters by Sheila L. Macrine,Jennifer M.B. Fugate Pdf

Experts translate the latest findings on embodied cognition from neuroscience, psychology, and cognitive science to inform teaching and learning pedagogy. Embodied cognition represents a radical shift in conceptualizing cognitive processes, in which cognition develops through mind-body environmental interaction. If this supposition is correct, then the conventional style of instruction—in which students sit at desks, passively receiving information—needs rethinking. Movement Matters considers the educational implications of an embodied account of cognition, describing the latest research applications from neuroscience, psychology, and cognitive science and demonstrating their relevance for teaching and learning pedagogy. The contributors cover a range of content areas, explaining how the principles of embodied cognition can be applied in classroom settings. After a discussion of the philosophical and theoretical underpinnings of embodied cognition, contributors describe its applications in language, including the areas of handwriting, vocabulary, language development, and reading comprehension; STEM areas, emphasizing finger counting and the importance of hand and body gestures in understanding physical forces; and digital learning technologies, including games and augmented reality. Finally, they explore embodied learning in the social-emotional realm, including how emotional granularity, empathy, and mindfulness benefit classroom learning. Movement Matters introduces a new model, translational learning sciences research, for interpreting and disseminating the latest empirical findings in the burgeoning field of embodied cognition. The book provides an up-to-date, inclusive, and essential resource for those involved in educational planning, design, and pedagogical approaches. Contributors Dor Abrahamson, Martha W. Alibali, Petra A. Arndt, Lisa Aziz-Zadeh, Jo Boaler, Christiana Butera, Rachel S. Y. Chen,Charles P. Davis, Andrea Marquardt Donovan, Inge-Marie Eigsti, Virginia J. Flood, Jennifer M. B. Fugate, Arthur M. Glenberg, Ligia E. Gómez, Daniel D. Hutto, Karin H. James, Mina C. Johnson-Glenberg, Michael P. Kaschak, Markus Kiefer, Christina Krause, Sheila L. Macrine, Anne Mangen, Carmen Mayer, Amanda L. McGraw, Colleen Megowan-Romanowicz, Mitchell J. Nathan, Antti Pirhonen, Kelsey E. Schenck, Lawrence Shapiro, Anna Shvarts, Yue-Ting Siu,Sofia Tancredi, Chrystian Vieyra, Rebecca Vieyra, Candace Walkington, Christine Wilson-Mendenhall, Eiling Yee

Author : Patricia S. Moyer-Packenham
Publisher : Springer
Page : 345 pages
File Size : 54,9 Mb
Release : 2016-06-21
Category : Education
ISBN : 9783319327181

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International Perspectives on Teaching and Learning Mathematics with Virtual Manipulatives by Patricia S. Moyer-Packenham Pdf

This book explores terminology, frameworks, and research being conducted worldwide on virtual manipulatives. It brings together international authors who provide their perspectives on virtual manipulatives in research and teaching. By defining terminology, explaining conceptual and theoretical frameworks, and reporting research, the authors provide a comprehensive foundation on the study and use of virtual manipulatives for mathematics teaching and learning. This foundation provides a common way for researchers to communicate about virtual manipulatives and build on the major works that have been conducted on this topic. By discussing these big ideas, the book advances knowledge for future research on virtual manipulatives as these dynamic tools move from computer platforms to hand-held, touch-screen, and augmented platforms.

Author : Gila Hanna,Laura Macchi,Karin Binder,Laura Martignon,Katharina Loibl
Publisher : Frontiers Media SA
Page : 552 pages
File Size : 43,9 Mb
Release : 2023-09-05
Category : Science
ISBN : 9782832529997

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Psychology and Mathematics Education by Gila Hanna,Laura Macchi,Karin Binder,Laura Martignon,Katharina Loibl Pdf

Modern Mathematics is constructed rigorously through proofs, based on truths, which are either axioms or previously proven theorems. Thus, it is par excellence a model of rational inquiry. Links between Cognitive Psychology and Mathematics Education have been particularly strong during the last decades. Indeed, the Enlightenment view of the rational human mind that reasons, makes decisions and solves problems based on logic and probabilities, was shaken during the second half of the twentieth century. Cognitive psychologists discovered that humans' thoughts and actions often deviate from rules imposed by strict normative theories of inference. Yet, these deviations should not be called "errors": as Cognitive Psychologists have demonstrated, these deviations may be either valid heuristics that succeed in the environments in which humans have evolved, or biases that are caused by a lack of adaptation to abstract information formats. Humans, as the cognitive psychologist and economist Herbert Simon claimed, do not usually optimize, but rather satisfice, even when solving problem. This Research Topic aims at demonstrating that these insights have had a decisive impact on Mathematics Education. We want to stress that we are concerned with the view of bounded rationality that is different from the one espoused by the heuristics-and-biases program. In Simon’s bounded rationality and its direct descendant ecological rationality, rationality is understood in terms of cognitive success in the world (correspondence) rather than in terms of conformity to content-free norms of coherence (e.g., transitivity).

Author : Anonim
Publisher : BRILL
Page : 294 pages
File Size : 52,9 Mb
Release : 2017-01-01
Category : Education
ISBN : 9789463512121

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Mathematical Discourse that Breaks Barriers and Creates Space for Marginalized Learners by Anonim Pdf

The various chapters tell practical stories of equitable practices for diverse learners within a range of different contexts. Different research perspectives, empirical traditions, and conceptual foci are presented in each chapter. Various aspects of diversity are raised, issues of concern are engaged with, and at times conventional wisdom challenged as the authors provide insights as to how educators may address issues of equitable access of minoritized learners to the mathematical discourse within settings across early primary through to high school, and situated in schools or in family and community settings.

Author : Mitchell J. Nathan
Publisher : Routledge
Page : 414 pages
File Size : 47,9 Mb
Release : 2021-09-27
Category : Education
ISBN : 9781000430103

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Foundations of Embodied Learning by Mitchell J. Nathan Pdf

Foundations of Embodied Learning advances learning, instruction, and the design of educational technologies by rethinking the learner as an integrated system of mind, body, and environment. Body-based processes—direct physical, social, and environmental interactions—are constantly mediating intellectual performance, sensory stimulation, communication abilities, and other conditions of learning. This book’s coherent, evidence-based framework articulates principles of grounded and embodied learning for design and its implications for curriculum, classroom instruction, and student formative and summative assessment for scholars and graduate students of educational psychology, instructional design and technology, cognitive science, the learning sciences, and beyond.

Author : Martin Carlsen,Ingvald Erfjord,Per Sigurd Hundeland
Publisher : Springer Nature
Page : 453 pages
File Size : 40,6 Mb
Release : 2020-03-13
Category : Education
ISBN : 9783030347765

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Mathematics Education in the Early Years by Martin Carlsen,Ingvald Erfjord,Per Sigurd Hundeland Pdf

This book gives insights in the vivid research area of early mathematics learning. The collection of selected chapters mirrors the research topics presented at the fourth POEM conference in May 2018. Thematically, the volume reflects the importance of this evolving area of research, which has begun to attract attention in the spheres of education and public policy due to increased interest in early years learning. The research foci of the chapters comprise children’s mathematical reasoning, early years mathematics teaching, and the role of parents for children’s mathematical development. The 2018 conference included a wider range of researchers than previous years.

Author : Lawrence Shapiro,Shannon Spaulding
Publisher : Taylor & Francis
Page : 806 pages
File Size : 42,5 Mb
Release : 2024-06-28
Category : Philosophy
ISBN : 9781040036440

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The Routledge Handbook of Embodied Cognition by Lawrence Shapiro,Shannon Spaulding Pdf

Embodied cognition is one of the foremost areas of study and research in philosophy of mind, philosophy of psychology, and cognitive science. The Routledge Handbook of Embodied Cognition is an outstanding guide and reference source to the key topics and debates in this exciting subject and essential reading for any student and scholar of philosophy of mind and cognitive science. Extensively revised and enlarged for this second edition, the Handbook comprises 42 chapters by an international team of expert contributors and is divided into ten parts: Historical Underpinnings Perspectives on Embodied Cognition Embodied Cognition and Predictive Processing Perception Language Reasoning and Education Virtual Reality Social and Moral Cognition and Emotion Action and Memory Reflections on Embodied Cognition The early chapters of the Handbook cover empirical and philosophical foundations of embodied cognition, focusing on Gibsonian and phenomenological approaches. Subsequent chapters cover additional, important themes common to work in embodied cognition, including embedded, extended, and enactive cognition as well as chapters on empirical research in perception, language, reasoning, social and moral cognition, emotion, consciousness, memory, and learning and development. For the second edition many existing chapters have been revised and seven new chapters added on: AI and robotics, predictive processing, second-language learning, animal cognition, sport psychology, sense of self, and critiques of embodied cognition, bringing the Handbook fully up to date with current research and debate.

Author : Elizabeth de Freitas,Nathalie Sinclair
Publisher : Cambridge University Press
Page : 287 pages
File Size : 46,6 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.

Author : Uwe Gellert,Joaquim Giménez Rodríguez,Corinne Hahn,Sonia Kafoussi
Publisher : Springer
Page : 486 pages
File Size : 45,6 Mb
Release : 2015-05-18
Category : Education
ISBN : 9783319154107

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Educational Paths to Mathematics by Uwe Gellert,Joaquim Giménez Rodríguez,Corinne Hahn,Sonia Kafoussi Pdf

This book offers fresh insight and understanding of the many ways in which children, youth and adults may find their paths to mathematics. The chapters of the volume offer and analyse promising new ways into mathematics. The focus is on spaces and modalities of learning, dialogue and inquiry, embodiment and aesthetic experience, information and communication technology and on the use of mathematics in public communication. The chapters present new mathematical activities and conceptions enriching the repertoire of mathematics education practices. Critical commentaries discuss the innovative potential of the new approaches to the teaching and learning of mathematics. As a consequence, the commentaries point to requirements and open issues in the field of research in mathematics education. The volume is remarkably international. Teachers and researchers from 14 countries authored 21 chapters and 7 commentaries. The reader is invited to reflect on the particular effect of presenting avenues to mathematics contrived in diverse national settings in which the praxis of mathematics education might look different compared to what happens in the reader’s place. The book starts a series of sourcebooks edited by CIEAEM, the Commission Internationale pour l’Etude et l’Amélioration de l’Enseignement des Mathématiques / International Commission for the Study and Improvement of Mathematics Education.

Author : Norma Presmeg,Luis Radford,Wolff-Michael Roth,Gert Kadunz
Publisher : Springer
Page : 368 pages
File Size : 49,9 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.

Author : Subramaniam Ramanathan,Ida Ah Chee Mok
Publisher : Frontiers Media SA
Page : 92 pages
File Size : 41,6 Mb
Release : 2023-03-28
Category : Science
ISBN : 9782832518656

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Future of STEM education: Multiple perspectives from researchers by Subramaniam Ramanathan,Ida Ah Chee Mok Pdf

Author : Christina M Krause
Publisher : Springer
Page : 350 pages
File Size : 47,8 Mb
Release : 2016-01-08
Category : Education
ISBN : 9783658119485

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The Mathematics in Our Hands by Christina M Krause Pdf

In her empirical study, Christina Krause investigates how gestures can contribute to epistemic processes in social interactions. She expands the traditional speech-based approach to analyzing social processes of constructing mathematical knowledge by employing a multimodal perspective. Adopting a semiotic approach, she takes into account two functions of gestures as signs used by the participants of the social interaction: the representational function concerns the ways in which gestures take part in referring to a mathematical object in processes of knowledge construction and the epistemic function relates to the ways in which they can contribute to the performance of collective epistemic actions. The results of this study reveal that gestures influence the epistemic process significantly more than previously thought and indicate factors underlying this influence.