Emerging Perspectives on Gesture and Embodiment in Mathematics

Download Emerging Perspectives on Gesture and Embodiment in Mathematics PDF Online Free

Author :
Publisher : IAP
ISBN 13 : 1623965551
Total Pages : 277 pages
Book Rating : 4.6/5 (239 download)

DOWNLOAD NOW!


Book Synopsis Emerging Perspectives on Gesture and Embodiment in Mathematics by : Laurie D. Edwards

Download or read book Emerging Perspectives on Gesture and Embodiment in Mathematics written by Laurie D. Edwards and published by IAP. This book was released on 2014-07-01 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Interdisciplinary Perspectives on Math Cognition

Download Interdisciplinary Perspectives on Math Cognition PDF Online Free

Author :
Publisher : Springer Nature
ISBN 13 : 3030225372
Total Pages : 343 pages
Book Rating : 4.0/5 (32 download)

DOWNLOAD NOW!


Book Synopsis Interdisciplinary Perspectives on Math Cognition by : Marcel Danesi

Download or read book Interdisciplinary Perspectives on Math Cognition written by Marcel Danesi and published by Springer Nature. This book was released on 2019-09-14 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematics Teacher Education in the Public Interest

Download Mathematics Teacher Education in the Public Interest PDF Online Free

Author :
Publisher : IAP
ISBN 13 : 161735970X
Total Pages : 302 pages
Book Rating : 4.6/5 (173 download)

DOWNLOAD NOW!


Book Synopsis Mathematics Teacher Education in the Public Interest by : Bharath Sriraman

Download or read book Mathematics Teacher Education in the Public Interest written by Bharath Sriraman and published by IAP. This book was released on 2013-02-01 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics teacher education has a critical role to play in preparing teachers to put at center stage goals to support equity in mathematics education and to diversify student interest and participation in mathematics. These goals must also resonate with broader public interest goals to improve educational and social conditions both in the U.S. and abroad. The Mathematics Teacher Education in the Public Interest book aims to support mathematics teacher educators to prepare teachers with new knowledge and skills to support all students to learn mathematics and to become informed, engaged, and critical citizens within their community, nation, and world. While internationally there is considerable interest among mathematics educators in issues of equity and social justice, the literature on mathematics teacher education for equity and social justice thus far has been very limited.The book provides theoretical discussions on the need for equity and social justice emphases in mathematics teacher education, as well as practical examples from mathematics teacher educators, documenting their own professional efforts to center practices on equity and social justice. Section emphases include critical perspectives on mathematics teacher education, the use of equity and social justice-themed activities in mathematics teacher preparation courses, and issues of identity and community and cultural contexts in mathematics teacher education. In addition syntheses of major ideas of the book are offered by experienced researchers.

Mathematics Education and Language Diversity

Download Mathematics Education and Language Diversity PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3319145118
Total Pages : 321 pages
Book Rating : 4.3/5 (191 download)

DOWNLOAD NOW!


Book Synopsis Mathematics Education and Language Diversity by : Richard Barwell

Download or read book Mathematics Education and Language Diversity written by Richard Barwell and published by Springer. This book was released on 2015-11-25 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: *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

Mathematics and the Body

Download Mathematics and the Body PDF Online Free

Author :
Publisher : Cambridge University Press
ISBN 13 : 1107039487
Total Pages : 287 pages
Book Rating : 4.1/5 (7 download)

DOWNLOAD NOW!


Book Synopsis Mathematics and the Body by : Elizabeth de Freitas

Download or read book Mathematics and the Body written by Elizabeth de Freitas and published by Cambridge University Press. This book was released on 2014-06-02 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book expands the landscape of research in mathematics education by analyzing how the body influences mathematical thinking.

Movement Matters

Download Movement Matters PDF Online Free

Author :
Publisher : MIT Press
ISBN 13 : 0262543486
Total Pages : 351 pages
Book Rating : 4.2/5 (625 download)

DOWNLOAD NOW!


Book Synopsis Movement Matters by : Sheila L. Macrine

Download or read book Movement Matters written by Sheila L. Macrine and published by MIT Press. This book was released on 2022-04-19 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

International Perspectives on Teaching and Learning Mathematics with Virtual Manipulatives

Download International Perspectives on Teaching and Learning Mathematics with Virtual Manipulatives PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3319327186
Total Pages : 344 pages
Book Rating : 4.3/5 (193 download)

DOWNLOAD NOW!


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

Download or read book International Perspectives on Teaching and Learning Mathematics with Virtual Manipulatives written by Patricia S. Moyer-Packenham and published by Springer. This book was released on 2016-06-21 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Psychology and Mathematics Education

Download Psychology and Mathematics Education PDF Online Free

Author :
Publisher : Frontiers Media SA
ISBN 13 : 2832529992
Total Pages : 552 pages
Book Rating : 4.8/5 (325 download)

DOWNLOAD NOW!


Book Synopsis Psychology and Mathematics Education by : Gila Hanna

Download or read book Psychology and Mathematics Education written by Gila Hanna and published by Frontiers Media SA. This book was released on 2023-09-05 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

Mathematical Discourse that Breaks Barriers and Creates Space for Marginalized Learners

Download Mathematical Discourse that Breaks Barriers and Creates Space for Marginalized Learners PDF Online Free

Author :
Publisher : BRILL
ISBN 13 : 9463512128
Total Pages : 294 pages
Book Rating : 4.4/5 (635 download)

DOWNLOAD NOW!


Book Synopsis Mathematical Discourse that Breaks Barriers and Creates Space for Marginalized Learners by :

Download or read book Mathematical Discourse that Breaks Barriers and Creates Space for Marginalized Learners written by and published by BRILL. This book was released on 2017-01-01 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the past decade reform efforts have placed importance on all students being able to participate in collaborative and productive mathematical discourse as an essential component for their learning of mathematics with deep conceptual understandings. In this book our intent is to support mathematics education researchers, teacher educators, teachers and policy makers in providing positive solutions to the enduring challenge in mathematics education of enabling all participants including diverse students to equitably access mathematical discourse. By diverse learners we mean learners who are minoritized in terms of gender, disability, or/and social, cultural, ethnic, racial or language backgrounds. We aim to increase understanding about what it means to imagine, design and engage with policy and practice which enhance opportunities for all students to participate in productive mathematical discourse. In widening the lens across policy and practice settings we recognize the interplay between the many complex factors that influence student participation in mathematics. 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.

Critical Mathematics Education

Download Critical Mathematics Education PDF Online Free

Author :
Publisher : IAP
ISBN 13 : 1681232618
Total Pages : 361 pages
Book Rating : 4.6/5 (812 download)

DOWNLOAD NOW!


Book Synopsis Critical Mathematics Education by : Paul Ernest

Download or read book Critical Mathematics Education written by Paul Ernest and published by IAP. This book was released on 2016-01-01 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is traditionally seen as the most neutral of disciplines, the furthest removed from the arguments and controversy of politics and social life. However, critical mathematics challenges these assumptions and actively attacks the idea that mathematics is pure, objective, and value?neutral. It argues that history, society, and politics have shaped mathematics—not only through its applications and uses but also through molding its concepts, methods, and even mathematical truth and proof, the very means of establishing truth. Critical mathematics education also attacks the neutrality of the teaching and learning of mathematics, showing how these are value?laden activities indissolubly linked to social and political life. Instead, it argues that the values of openness, dialogicality, criticality towards received opinion, empowerment of the learner, and social/political engagement and citizenship are necessary dimensions of the teaching and learning of mathematics, if it is to contribute towards democracy and social justice. This book draws together critical theoretic contributions on mathematics and mathematics education from leading researchers in the field. Recurring themes include: The natures of mathematics and critical mathematics education, issues of epistemology and ethics; Ideology, the hegemony of mathematics, ethnomathematics, and real?life education; Capitalism, globalization, politics, social class, habitus, citizenship and equity. The book demonstrates the links between these themes and the discipline of mathematics, and its critical teaching and learning. The outcome is a groundbreaking collection unified by a shared concern with critical perspectives of mathematics and education, and of the ways they impact on practice.

Mathematics Education in the Early Years

Download Mathematics Education in the Early Years PDF Online Free

Author :
Publisher : Springer Nature
ISBN 13 : 3030347761
Total Pages : 453 pages
Book Rating : 4.0/5 (33 download)

DOWNLOAD NOW!


Book Synopsis Mathematics Education in the Early Years by : Martin Carlsen

Download or read book Mathematics Education in the Early Years written by Martin Carlsen and published by Springer Nature. This book was released on 2020-03-13 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Foundations of Embodied Learning

Download Foundations of Embodied Learning PDF Online Free

Author :
Publisher : Routledge
ISBN 13 : 1000430103
Total Pages : 414 pages
Book Rating : 4.0/5 (4 download)

DOWNLOAD NOW!


Book Synopsis Foundations of Embodied Learning by : Mitchell J. Nathan

Download or read book Foundations of Embodied Learning written by Mitchell J. Nathan and published by Routledge. This book was released on 2021-09-27 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Routledge Handbook of Embodied Cognition

Download The Routledge Handbook of Embodied Cognition PDF Online Free

Author :
Publisher : Taylor & Francis
ISBN 13 : 1040036449
Total Pages : 806 pages
Book Rating : 4.0/5 (4 download)

DOWNLOAD NOW!


Book Synopsis The Routledge Handbook of Embodied Cognition by : Lawrence Shapiro

Download or read book The Routledge Handbook of Embodied Cognition written by Lawrence Shapiro and published by Taylor & Francis. This book was released on 2024-06-28 with total page 806 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Educational Paths to Mathematics

Download Educational Paths to Mathematics PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3319154109
Total Pages : 477 pages
Book Rating : 4.3/5 (191 download)

DOWNLOAD NOW!


Book Synopsis Educational Paths to Mathematics by : Uwe Gellert

Download or read book Educational Paths to Mathematics written by Uwe Gellert and published by Springer. This book was released on 2015-05-18 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Critical Mathematics Education

Download Critical Mathematics Education PDF Online Free

Author :
Publisher : IAP
ISBN 13 : 1681232618
Total Pages : 361 pages
Book Rating : 4.6/5 (812 download)

DOWNLOAD NOW!


Book Synopsis Critical Mathematics Education by : Paul Ernest

Download or read book Critical Mathematics Education written by Paul Ernest and published by IAP. This book was released on 2016-01-01 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is traditionally seen as the most neutral of disciplines, the furthest removed from the arguments and controversy of politics and social life. However, critical mathematics challenges these assumptions and actively attacks the idea that mathematics is pure, objective, and value?neutral. It argues that history, society, and politics have shaped mathematics—not only through its applications and uses but also through molding its concepts, methods, and even mathematical truth and proof, the very means of establishing truth. Critical mathematics education also attacks the neutrality of the teaching and learning of mathematics, showing how these are value?laden activities indissolubly linked to social and political life. Instead, it argues that the values of openness, dialogicality, criticality towards received opinion, empowerment of the learner, and social/political engagement and citizenship are necessary dimensions of the teaching and learning of mathematics, if it is to contribute towards democracy and social justice. This book draws together critical theoretic contributions on mathematics and mathematics education from leading researchers in the field. Recurring themes include: The natures of mathematics and critical mathematics education, issues of epistemology and ethics; Ideology, the hegemony of mathematics, ethnomathematics, and real?life education; Capitalism, globalization, politics, social class, habitus, citizenship and equity. The book demonstrates the links between these themes and the discipline of mathematics, and its critical teaching and learning. The outcome is a groundbreaking collection unified by a shared concern with critical perspectives of mathematics and education, and of the ways they impact on practice.

Signs of Signification

Download Signs of Signification PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3319702874
Total Pages : 368 pages
Book Rating : 4.3/5 (197 download)

DOWNLOAD NOW!


Book Synopsis Signs of Signification by : Norma Presmeg

Download or read book Signs of Signification written by Norma Presmeg and published by Springer. This book was released on 2018-01-23 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Refractions of Mathematics Education

Download Refractions of Mathematics Education PDF Online Free

Author :
Publisher : IAP
ISBN 13 : 1681230313
Total Pages : 238 pages
Book Rating : 4.6/5 (812 download)

DOWNLOAD NOW!


Book Synopsis Refractions of Mathematics Education by : Christer Bergsten

Download or read book Refractions of Mathematics Education written by Christer Bergsten and published by IAP. This book was released on 2015-05-01 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: The diversity of research in mathematics education has been addressed as both, a problem and a strength. When manifested through adherence to different intellectual roots and theoretical orientations, diversions constitute ‘refractions’ of mathematics education. The collection and analysis of empirical data in a study are by necessity refracted through the specific analytical lens employed, as well as the aim of the study itself. Refractions can also refer to looking at old phenomena through new lenses. The chapters in this book are refracted through philosophical, political, mathematical and personal lenses by distinguished authors in the field, addressing issues about the elusive experience of doing mathematics, purification of texts, refractions, mathematics and ethnomathematics, political messages in textbook tasks, mathematics education policy debate, the political in mathematics education research, philosophy and mathematics, meanings and representations, identity of mathematical modeling, and dilemmas in the teaching of calculus. An ancient Sanskrit adage states that Knowledge is something that grows when shared, but shrinks when hoarded. Academics engaged in the generation of new Knowledge are blessed with both the time and the freedom to engage in pursuits that allow for intellectual pleasure. As a phenomenon of the Zeitgeist many have succumbed to the increased corporatization of academic work, engaging in activities for monetary and self advancement purposes. Are there any real intellectuals left in academia, a là Adorno, Bourdieu, Chomsky, Foucault, among others? This Festschrift is dedicated to academics that don't bother with self promotion or aggrandizement of themselves or their ideas in simplistic terms.