A Cultural-Historical Perspective on Mathematics Teaching and Learning

A Cultural-Historical Perspective on Mathematics Teaching and Learning PDF Author: Wolff-Michael Roth
Publisher: Springer Science & Business Media
ISBN: 9460915647
Category : Education
Languages : en
Pages : 189

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Book Description
Eighty years ago, L. S. Vygotsky complained that psychology was misled in studying thought independent of emotion. This situation has not significantly changed, as most learning scientists continue to study cognition independent of emotion. In this book, the authors use cultural-historical activity theory as a perspective to investigate cognition, emotion, learning, and teaching in mathematics. Drawing on data from a longitudinal research program about the teaching and learning of algebra in elementary schools, Roth and Radford show (a) how emotions are reproduced and transformed in and through activity and (b) that in assessments of students about their progress in the activity, cognitive and emotional dimensions cannot be separated. Three features are salient in the analyses: (a) the irreducible connection between emotion and cognition mediates teacher-student interactions; (b) the zone of proximal development is itself a historical and cultural emergent product of joint teacher-students activity; and (c) as an outcome of joint activity, the object/motive of activity emerges as the real outcome of the learning activity. The authors use these results to propose (a) a different conceptualization of the zone of proximal development, (b) activity theory as an alternative to learning as individual/social construction, and (c) a way of understanding the material/ideal nature of objects in activity. Wolff-Michael Roth is Lansdowne Professor at the University of Victoria, Canada. He researches scientific and mathematical cognition along the life span from cultural-historical and phenomenological perspectives. He has conducted research in science and mathematics classrooms as well as having realized multi-year ethnographic studies of science and mathematics in workplaces and scientific research. Luis Radford is full professor at Laurentian University in Canada. His research interests include the investigation of mathematics thinking and knowing from a cultural-semiotic embodied perspective and the historical and cultural roots of cognition. For many years he has been conducting classroom research with primary and high-school teachers about the teaching and learning of mathematics.

A Cultural-Historical Perspective on Mathematics Teaching and Learning

A Cultural-Historical Perspective on Mathematics Teaching and Learning PDF Author: Wolff-Michael Roth
Publisher: Springer Science & Business Media
ISBN: 9460915647
Category : Education
Languages : en
Pages : 189

Get Book Here

Book Description
Eighty years ago, L. S. Vygotsky complained that psychology was misled in studying thought independent of emotion. This situation has not significantly changed, as most learning scientists continue to study cognition independent of emotion. In this book, the authors use cultural-historical activity theory as a perspective to investigate cognition, emotion, learning, and teaching in mathematics. Drawing on data from a longitudinal research program about the teaching and learning of algebra in elementary schools, Roth and Radford show (a) how emotions are reproduced and transformed in and through activity and (b) that in assessments of students about their progress in the activity, cognitive and emotional dimensions cannot be separated. Three features are salient in the analyses: (a) the irreducible connection between emotion and cognition mediates teacher-student interactions; (b) the zone of proximal development is itself a historical and cultural emergent product of joint teacher-students activity; and (c) as an outcome of joint activity, the object/motive of activity emerges as the real outcome of the learning activity. The authors use these results to propose (a) a different conceptualization of the zone of proximal development, (b) activity theory as an alternative to learning as individual/social construction, and (c) a way of understanding the material/ideal nature of objects in activity. Wolff-Michael Roth is Lansdowne Professor at the University of Victoria, Canada. He researches scientific and mathematical cognition along the life span from cultural-historical and phenomenological perspectives. He has conducted research in science and mathematics classrooms as well as having realized multi-year ethnographic studies of science and mathematics in workplaces and scientific research. Luis Radford is full professor at Laurentian University in Canada. His research interests include the investigation of mathematics thinking and knowing from a cultural-semiotic embodied perspective and the historical and cultural roots of cognition. For many years he has been conducting classroom research with primary and high-school teachers about the teaching and learning of mathematics.

Language and Mathematics Education

Language and Mathematics Education PDF Author: Judit N. Moschkovich
Publisher: Information Age Pub Incorporated
ISBN: 9781617351594
Category : Education
Languages : en
Pages : 180

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Book Description
A volume in Research in Mathematics Education Series Editor Barbara J. Dougherty, Iowa State University Marketing description: Issues of language in mathematics learning and teaching are important for both practical and theoretical reasons. Addressing issues of language is crucial for improving mathematics learning and teaching for students who are bilingual, multilingual, or learning English. These issues are also relevant to theory: studies that make language visible provide a complex perspective of the role of language in reasoning and learning mathematics. What is the relevant knowledge base to consider when designing research studies that address issues of language in the learning and teaching of mathematics? What scholarly literature is relevant and can contribute to research? In order to address issues of language in mathematics education, researchers need to use theoretical perspectives that integrate current views of mathematics learning and teaching with current views on language, discourse, bilingualism, and second language acquisition. This volume contributes to the development of such integrated approaches to research on language issues in mathematics education by describing theoretical perspectives for framing the study of language issues and methodological issues to consider when designing research studies. The volume provides interdisciplinary reviews of the research literature from four very different perspectives: mathematics education (Moschkovich), Cultural-Historical-Activity Theory (Gutierrez, Sengupta-Irving, & Dieckmann), systemic functional linguistics (Schleppegrell), and assessment (Solano-Flores). This volume offers graduate students and researchers new to the study of language in mathematics education an introduction to resources for conceptualizing, framing, and designing research studies. For those already involved in examining language issues, the volume provides useful and critical reviews of the literature as well as recommendations for moving forward in designing research. Lastly, the volume provides a basis for dialogue across multiple research communities engaged in collaborative work to address these pressing issues.

Science, Learning, Identity

Science, Learning, Identity PDF Author:
Publisher: BRILL
ISBN: 9087901267
Category : Education
Languages : en
Pages : 365

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Book Description
Over the recent years, identity has become one of the most central theoretical concept and topics of scholarship in a number of disciplines, including science education. In this volume, leading science educators articulate in carefully prepared case studies their theoretical perspective on science, learning, and identity. More importantly, the authors of the chapters that in the different parts of the book engage each other in a collaboratively written chapter concerning some of the central issues that have arisen from their individual studies; and in particular they engage each other over the similarities and differences between their approaches. This book, which features detailed case studies of identity as both resource and outcomes of learners in a variety of settings, will be of interest to anyone concerned with learning science in and out-of schools. The book also caters for readers who have wondered about how identity mediates science learning and, simultaneously, how engagement in science-related tasks and activities mediates the emergence and development of identities. The general tenor of all chapters is a cultural-historical and sociocultural framework that is brought to issues of identity, thereby inherently transcending the individual person and linking identity to cultural possibilities.

International Perspectives on Mathematics Teacher Education

International Perspectives on Mathematics Teacher Education PDF Author: Denisse R Thompson
Publisher: IAP
ISBN: 1648026311
Category : Education
Languages : en
Pages : 250

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Book Description
Mathematics teacher education includes the mathematics content teachers need to understand, ways that pedagogical approaches are developed, messages about the nature of mathematics teaching and learning, and interfaces between tertiary preparation and school contexts. Scholars from Sweden, France, Malawi, Singapore, New Zealand, Brazil, the USA, and Canada provide insights for the mathematics education community’s understanding of how teacher educators structure, develop, and implement their respective mathematics teacher education programs. Several themes emerged across the chapters, including: varied approaches to developing culturally responsive pedagogies and/or Indigenous perspectives; issues and challenges in fostering partnerships and collaborations; strategies for developing mathematics knowledge for teaching; and preparing flexible and resourceful teachers. Praise for International Perspectives on Mathematics Teacher Education: "International Perspectives on Mathematics Teacher Education explores different facets of mathematics teacher education in eight countries across five continents. The authors and editors answer important questions and open the door to critical conversations about policies and practices related to mathematics teacher recruitment, preparation, and professional development, among other topics. Every reader will develop new perspectives as they learn how one institution is engaging with Indigenous perspectives while other countries struggle with an insufficient supply of certified teachers. This book clearly demonstrates challenges, constraints, nuances and complexities to initiating and maintaining improvement across systems to enhance the work and spaces of mathematics teachers within different historical, cultural, social, and political contexts. This volume also generates ideas and opportunities for leaders, policymakers, and teacher educators to consider and learn from international colleagues about different approaches to mathematics teacher education practice and policy. Undoubtedly, debates about standards, content and experiences in programs, and accountability structures such as accreditation will continue. It is clear from the insights in this volume that strengthening mathematics teacher education will require stronger collaborations, frameworks, policies, infrastructure, and investments on a global scale and it will be critical to collaborate with and learn from colleagues in international settings. These conversations will require reciprocity, interdependence, and resilience as we pursue the ultimate goal of equipping the field of mathematics teacher education." Kathryn Chval Dean, College of Education Professor of Mathematics Education University of Illinois Chicago

Mathematics for Tomorrow’s Young Children

Mathematics for Tomorrow’s Young Children PDF Author: C.S. Mansfield
Publisher: Springer Science & Business Media
ISBN: 9401722110
Category : Education
Languages : en
Pages : 335

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Book Description
Social constructivism is just one view of learning that places emphasis on the social aspects of learning. Other theoretical positions, such as activity theory, also emphasise the importance of social interactions. Along with social constructivism, Vygotsky's writings on children's learning have recently also undergone close scru tiny and researchers are attempting a synthesis of aspects ofVygotskian theory and social constructivism. This re-examination of Vygotsky's work is taking place in many other subject fields besides mathematics, such as language learning by young children. It is interesting to speculate why Vygotsky's writings have appealed to so many researchers in different cultures and decades later than his own times. Given the recent increased emphasis on the social nature of learning and on the interactions between student, teacher and context factors, a finer grained analysis of the nature of different theories of learning now seems to be critical, and it was considered that different views of students' learning of mathematics needed to be acknowledged in the discussions of the Working Group.

History in Mathematics Education

History in Mathematics Education PDF Author: John Fauvel
Publisher: Springer Science & Business Media
ISBN: 0306472201
Category : Education
Languages : en
Pages : 456

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Book Description
This ground-breaking book investigates how the learning and teaching of mathematics can be improved through integrating the history of mathematics into all aspects of mathematics education: lessons, homework, texts, lectures, projects, assessment, and curricula. It draws upon evidence from the experience of teachers as well as national curricula, textbooks, teacher education practices, and research perspectives across the world. It includes a 300-item annotated bibliography of recent work in the field in eight languages.

History of Mathematics Teaching and Learning

History of Mathematics Teaching and Learning PDF Author: Alexander Karp
Publisher: Springer
ISBN: 3319316168
Category : Education
Languages : en
Pages : 47

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Book Description
This work examines the main directions of research conducted on the history of mathematics education. It devotes substantial attention to research methodologies and the connections between this field and other scholarly fields. The results of a survey about academic literature on this subject are accompanied by a discussion of what has yet to be done and problems that remain unsolved. The main topics you will find in “ICME-13 Topical Survey” include: • Discussions of methodological issues in the history of mathematics education and of the relation between this field and other scholarly fields. • The history of the formation and transformation of curricula and textbooks as a reflection of trends in social-economic, cultural and scientific-technological development. • The influence of politics, ideology and economics on the development of mathematics education, from a historical perspective. • The history of the preeminent mathematics education organizations and the work of leading figures in mathematics education. • Mathematics education practices and tools and the preparation of mathematics teachers, from a historical perspective.

Semiotics in Mathematics Education

Semiotics in Mathematics Education PDF Author: Norma Presmeg
Publisher: Springer
ISBN: 3319313703
Category : Education
Languages : en
Pages : 45

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Book Description
This volume discusses semiotics in mathematics education as an activity with a formal sign system, in which each sign represents something else. Theories presented by Saussure, Peirce, Vygotsky and other writers on semiotics are summarized in their relevance to the teaching and learning of mathematics. The significance of signs for mathematics education lies in their ubiquitous use in every branch of mathematics. Such use involves seeing the general in the particular, a process that is not always clear to learners. Therefore, in several traditional frameworks, semiotics has the potential to serve as a powerful conceptual lens in investigating diverse topics in mathematics education research. Topics that are implicated include (but are not limited to): the birth of signs; embodiment, gestures and artifacts; segmentation and communicative fields; cultural mediation; social semiotics; linguistic theories; chains of signification; semiotic bundles; relationships among various sign systems; intersubjectivity; diagrammatic and inferential reasoning; and semiotics as the focus of innovative learning and teaching materials.

Critical Mathematics Education

Critical Mathematics Education PDF Author: Paul Ernest
Publisher: IAP
ISBN: 1681232618
Category : Education
Languages : en
Pages : 361

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Book Description
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 Different Cultural Traditions- A Comparative Study of East Asia and the West

Mathematics Education in Different Cultural Traditions- A Comparative Study of East Asia and the West PDF Author: Frederick Koon-Shing Leung
Publisher: Springer Science & Business Media
ISBN: 0387297235
Category : Education
Languages : en
Pages : 592

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Book Description
The idea of the ICMI Study 13 is outlined as follows: Education in any social environment is influenced in many ways by the traditions of these environments. This study brings together leading experts to research and report on mathematics education in a global context. Mathematics education faces a split phenomenon of difference and correspondence. A study attempting a comparison between mathematics education in different traditions will be helpful to understanding this phenomenon.