MULTIMATHEMACY: Anthropology and Mathematics Education

Author: Rik Pinxten

Publisher: Springer

ISBN: 3319262556

Category: Education

Page: 190

View: 5507

This book defends that math education should systematically start out from the diverse out-of-school knowledge of children and develop trajectories from there to the Academic Mathematics tower of knowledge. Learning theories of the sociocultural school (Vygotsky and on) are used here, and ethnographic knowledge from around the world is shown to offer a rich and varied base for curricula. The book takes a political stand against the exclusively western focus in OECD analyses and proposals on math education. This book aims at agents in education and social actions in every cultural environment. But it is also attractive to mathematicians, anthropologists and other specialists. It offers a broad and scholarly view of knowledge and culture and a very original transcultural and transdisciplinarian approach to education. Ubiratan D'Ambrosio, UNICAMP/Universidade Estadual de Campinas, Brazil

Character Education for 21st Century Global Citizens

Proceedings of the 2nd International Conference on Teacher Education and Professional Development (INCOTEPD 2017), October 21-22, 2017, Yogyakarta, Indonesia

Author: Endah Retnowati,Anik Ghufron,Marzuki,Kasiyan,Adi Cilik Pierawan,Ashadi

Publisher: Routledge

ISBN: 1351597345

Category: Business & Economics

Page: 650

View: 8021

Character Education for 21st Century Global Citizens contains the papers presented at the 2nd International Conference on Teacher Education and Professional Development (InCoTEPD 2017), Yogyakarta, Indonesia, 20—21 October 2017. The book covers 7 topics: 1) Values for 21st century global citizens 2) Preparing teachers for integrative values education 3) Teacher professional development for enhanced character education 4) Curriculum/syllabus/lesson plan/learning materials development for integrated values education 5) Developing learning activities/tasks/strategies for character education 6) Assessing student’s character development (values acquisition assessment) 7) Creating/managing conducive school culture to character education.

Transdisciplinarity in Mathematics Education

Blurring Disciplinary Boundaries

Author: Limin Jao,Nenad Radakovic

Publisher: Springer

ISBN: 3319636243

Category: Education

Page: 279

View: 7334

The book explores various facets of transdisciplinarity in mathematics education and its importance for research and practice. The book comprehensively outlines the ways that mathematics interacts with different disciplines, world views, and contexts; these topics include: mathematics and the humanities, the complex nature of mathematics education, mathematics education and social contexts, and more. It is an invaluable resource for mathematics education students, researchers, and practitioners seeking to incorporate transdisciplinarity into their own practice.

Ethnomathematics and its Diverse Approaches for Mathematics Education

Author: Milton Rosa,Lawrence Shirley,Maria Elena Gavarrete,Wilfredo V. Alangui

Publisher: Springer

ISBN: 3319592203

Category: Education

Page: 361

View: 8994

This book addresses numerous issues related to ethnomathematics and diverse approaches to it in the context of mathematics education. To help readers better understand the development of ethnomathematics, it discusses its objectives and assumptions with regard to promoting an ethics of respect, solidarity, and cooperation across and for all cultures. In turn, the book addresses a range of aspects including pedagogical action, culturally relevant pedagogy, innovative approaches to ethnomathematics, and the role of ethnomathematics in mathematics education. Ethnomathematics offers educators a valuable framework for transforming mathematics so that it can more actively contribute to realizing the dream of a just and humane society. As such, its primary goal is to forge mathematics into a powerful tool to help people create a society characterized by dignity for all, and in which iniquity, arrogance, violence, and bigotry have no place.

Discourse Perspective of Geometric Thoughts

Author: Sasha Wang

Publisher: Springer

ISBN: 3658128054

Category: Education

Page: 232

View: 5995

Sasha Wang revisits the van Hiele model of geometric thinking with Sfard’s discursive framework to investigate geometric thinking from a discourse perspective. The author focuses on describing and analyzing pre-service teachers’ geometric discourse across different van Hiele levels. The explanatory power of Sfard’s framework provides a rich description of how pre-service teachers think in the context of quadrilaterals. It also contributes to our understanding of human thinking that is illustrated through the analysis of geometric discourse accompanied by vignettes.

Altijd onderweg

Verschillende perspectieven op de betekenis van het verlangen

Author: Christian Van Kerckhove,Johan Van Poucke,Eva Vens

Publisher: Maklu

ISBN: 9044135775

Category:

Page: 193

View: 5784

Als we de foto’s en berichten die we posten op sociale media mogen geloven, dan hebben we een uitermate ontspannend en boeiend leven, waarin we zonder zorgen onze verlangens kunnen najagen én bevredigd zien. Het beeld dat we de wereld laten zien, staat echter in schril contrast met de toenemende gevallen van burn-out, depressies, stress, etc. We komen tijd en energie te kort, omdat we aan van alles en nog wat tijd en energie willen of moeten spenderen. We verlangen veel maar zijn onbevredigbaar. Dit boek kwam tot stand vanuit de bezorgdheid dat het verlangen van de westerse mens de speelbal is geworden van een aantal krachten die niet zo eenvoudig te identificeren zijn. Mensen leven en werken in een schijnbare vrijheid – men lijkt zijn eigen verlangen zonder problemen te kunnen nastreven – terwijl dit verlangen in werkelijkheid misschien al lang beteugeld is. Altijd onderweg biedt meer inzicht in dit verlangen. Welke functie vervult het verlangen? Is er een verschil met een (economische) behoefte? Wanneer verglijdt een verlangen naar een obsessie? Kunnen we spreken van een cultureel verlangen? Wat betekent het verlangen in de context van de hulpverlening? Schuilt er in de kunst ook een verlangen? Met bijdragen van Liesbet De Kock, Rogier De Langhe, Frederik De Preester, Peter Mertens, Rik Pinxten, Barbara Raes, Jean Paul Van Bendegem, Jo Van Den Berghe, Christian Van Kerckhove en Peter Walleghem.

Towards Gender Equity in Mathematics Education

An ICMI Study

Author: Gila Hanna

Publisher: Springer Science & Business Media

ISBN: 0306472058

Category: Education

Page: 305

View: 8601

THE REAL WORLD OF MATHEMATICS, SCIENCE, AND TECHNOLOGY EDUCATION In this Preface, I would like to focus on what I mean by “education” and speak about the models and metaphors that are used when people talk, write, and act in the domain of education. We need to look at the assu- tions and processes that the models and metaphors implicitly and explicitly contain. I feel we should explore whether there is a specific thrust to mat- matics education in the here and now, and be very practical about it. For me education is the enhancement of knowledge and understanding, and there is a strong and unbreakable link between the two. There seems l- tle point in acquiring knowledge without understanding its meaning. Nor is it enough to gain a deep understanding of problems without gaining the appropriate knowledge to work for their solution. Thus knowledge and understanding are each necessary conditions for the process of education, but only when they are linked will the process bear fruit. Only in the b- anced interplay of knowledge and understanding can we expect to achieve genuine education.

Visuospatial Reasoning

An Ecocultural Perspective for Space, Geometry and Measurement Education

Author: Kay Owens

Publisher: Springer

ISBN: 3319024639

Category: Education

Page: 377

View: 6297

This book develops the theoretical perspective on visuospatial reasoning in ecocultural contexts, granting insights on how the language, gestures, and representations of different cultures reflect visuospatial reasoning in context. For a number of years, two themes in the field of mathematics education have run parallel with each other with only a passing acquaintance. These two areas are the psychological perspective on visuospatial reasoning and ecocultural perspectives on mathematics education. This volume examines both areas of research and explores the intersection of these powerful ideas. In addition, there has been a growing interest in sociocultural aspects of education and in particular that of Indigenous education in the field of mathematics education. There has not, however, been a sound analysis of how environmental and cultural contexts impact visuospatial reasoning, although it was noted as far back as the 1980s when Alan Bishop developed his duality of visual processing and interpreting visual information. This book provides this analysis and in so doing not only articulates new and worthwhile lines of research, but also uncovers and makes real a variety of useful professional approaches in teaching school mathematics. With a renewed interest in visuospatial reasoning in the mathematics education community, this volume is extremely timely and adds significantly to current literature on the topic.

Learning Mathematics

Constructivist and Interactionist Theories of Mathematical Development

Author: Paul Cobb

Publisher: Springer Science & Business Media

ISBN: 9401720576

Category: Education

Page: 194

View: 4414

This volume emphasizes students' inferred mathematical experiences as the starting point in the theory-building process. The book addresses conceptual constructions, including multiplicative notions, fractions, algebra, and the fundamental theorem of calculus, and theoretical constructs such as the crucial role of language and symbols, and the importance of dynamic imagery.

Philosophical Dimensions in Mathematics Education

Author: Karen Francois,Jean Paul Van Bendegem

Publisher: Springer Science & Business Media

ISBN: 0387715754

Category: Education

Page: 242

View: 8116

This book brings together diverse recent developments exploring the philosophy of mathematics in education. The unique combination of ethnomathematics, philosophy, history, education, statistics and mathematics offers a variety of different perspectives from which existing boundaries in mathematics education can be extended. The ten chapters in this book offer a balance between philosophy of and philosophy in mathematics education. Attention is paid to the implementation of a philosophy of mathematics within the mathematics curriculum.

Mapping Time, Space and the Body

Indigenous Knowledge and Mathematical Thinking in Brazil

Author: Mariana Kawall Leal Ferreira

Publisher: Springer

ISBN: 9462098662

Category: Education

Page: 232

View: 1515

Mapping Time, Space and the Body: Indigenous Knowledge and Mathematical Thinking in Brazil brings people, land and numbers together in the fight for justice. On this extraordinary voyage through ancestral territories in central and southern Brazil, the Xavante, Suyá, Kayabi, and other local nations use mapping as a tool to protect their human rights to lands and resources they have traditionally owned and acquired. Mathematics activities inside the classroom and in everyday life help explain how Indigenous Peoples understand the cosmos and protect the living beings that helped create it. The book is a welcome contribution to a growing literature on the mathematical and scientific thinking of Indigenous Peoples around the globe. It makes mathematics alive and culturally relevant for students of all national backgrounds worldwide. “A brilliant marriage of ethnography and mathematics written with deep understanding and obvious affection for the peoples she observed.” – James A. Wiley, Ph.D. Professor, University of California at San Francisco, USA “This original and beautifully illustrated book offers a vivid study of Indigenous Peoples in Brazil. The author develops theoretical approaches and research methodologies to understand the way cultural groups deal with their natural and social environments.” – Ubiratan D’Ambrosio, Ph.D. Emeritus Professor, Universidade Estadual de Campinas, Brazil “Mapping Time, Space and the Body is destined to create new and enlightened research in Ethnomathematics. It is an essential read for all of us working with culture and social justice in the realm of mathematics.” – Daniel Clark Orey, Ph.D. Professor, Universidade Federal de Ouro Preto, Minas Gerais, Brazil. Emeritus Professor, California State University, Sacramento, USA Cover photo by Mariana K. Leal Ferreira, 1998: Romdó Suyá, ceremonial leader of the Suyá people in the Xingu Indigenous Park

Ability-grouping in Primary Schools

Case Studies and Critical Debates

Author: Rachel Marks

Publisher: Critical Publishing

ISBN: 1910391263

Category: Education

Page: 80

View: 1854

The use of ability-grouping is currently increasing in primary schools. Teachers and teacher educators are placed in the unenviable position of having to marry research evidence suggesting that ability-grouping is ineffectual with current policy advocating this approach.This book links theory, policy and practice in a critical examination of ability-grouping practices and their implications in primary schools, with particular reference to primary mathematics. It provides an accessible text for teacher educators to support their students in engaging with the key debates and reflecting upon their practice. Key changes in structural approaches, such as the movement between streaming, setting or mixed-ability teaching arrangements, are explored in the light of political trends, bringing this up to date with a discussion of current policy and practice.

Posing and Solving Mathematical Problems

Advances and New Perspectives

Author: Patricio Felmer,Erkki Pehkonen,Jeremy Kilpatrick

Publisher: Springer

ISBN: 3319280236

Category: Education

Page: 402

View: 4351

This book collects recent research on posing and solving mathematical problems. Rather than treating these two crucial aspects of school mathematics as separate areas of study, the authors approach them as a unit where both areas are measured on equal grounds in relation to each other. The contributors are from a vast variety of countries and with a wide range of experience; it includes the work from many of the leading researchers in the area and an important number of young researchers. The book is divided in three parts, one directed to new research perspectives and the other two directed to teachers and students, respectively.

The Proceedings of the 12th International Congress on Mathematical Education

Intellectual and attitudinal challenges

Author: Sung Je Cho

Publisher: Springer

ISBN: 3319126881

Category: Education

Page: 648

View: 9677

This book comprises the Proceedings of the 12th International Congress on Mathematical Education (ICME-12), which was held at COEX in Seoul, Korea, from July 8th to 15th, 2012. ICME-12 brought together 3500 experts from 92 countries, working to understand all of the intellectual and attitudinal challenges in the subject of mathematics education as a multidisciplinary research and practice. This work aims to serve as a platform for deeper, more sensitive and more collaborative involvement of all major contributors towards educational improvement and in research on the nature of teaching and learning in mathematics education. It introduces the major activities of ICME-12 which have successfully contributed to the sustainable development of mathematics education across the world. The program provides food for thought and inspiration for practice for everyone with an interest in mathematics education and makes an essential reference for teacher educators, curriculum developers and researchers in mathematics education. The work includes the texts of the four plenary lectures and three plenary panels and reports of three survey groups, five National presentations, the abstracts of fifty one Regular lectures, reports of thirty seven Topic Study Groups and seventeen Discussion Groups.

Mathematical Problem Posing

From Research to Effective Practice

Author: Florence Mihaela Singer,Nerida F. Ellerton,Jinfa Cai

Publisher: Springer

ISBN: 1461462584

Category: Education

Page: 569

View: 7227

The mathematics education community continues to contribute research-based ideas for developing and improving problem posing as an inquiry-based instructional strategy for enhancing students’ learning. A large number of studies have been conducted which have covered many research topics and methodological aspects of teaching and learning mathematics through problem posing. The Authors' groundwork has shown that many of these studies predict positive outcomes from implementing problem posing on: student knowledge, problem solving and posing skills, creativity and disposition toward mathematics. This book examines, in-depth, the contribution of a problem posing approach to teaching mathematics and discusses the impact of adopting this approach on the development of theoretical frameworks, teaching practices and research on mathematical problem posing over the last 50 years. ​​

Mapping Equity and Quality in Mathematics Education

Author: Bill Atweh,Mellony Graven,Walter Secada,Paola Valero

Publisher: Springer Science & Business Media

ISBN: 9789048198030

Category: Education

Page: 624

View: 1074

Concerns about quality mathematics education are often posed in terms of the types of mathematics that are worthwhile and valuable for both the student and society in general, and about how to best support students so that they can develop this mathematics. Concerns about equity are about who is excluded from the opportunity to develop quality mathematics within our current practices and systems, and about how to remove social barriers that systematically disadvantage those students. This collection of chapters summarises our learning about the achievement of both equity and quality agendas in mathematics education and to move forward the debate on their importance for the field.

Scripting Approaches in Mathematics Education

Mathematical Dialogues in Research and Practice

Author: Rina Zazkis,Patricio Herbst

Publisher: Springer

ISBN: 3319626922

Category: Education

Page: 425

View: 1234

This book shows how the practice of script writing can be used both as a pedagogical approach and as a research tool in mathematics education. It provides an opportunity for script-writers to articulate their mathematical arguments and/or their pedagogical approaches. It further provides researchers with a corpus of narratives that can be analyzed using a variety of theoretical perspectives. Various chapters argue for the use of dialogical method and highlight its benefits and special features. The chapters examine both “low tech” implementations as well as the use of a technological platform, LessonSketch. The chapters present results of and insights from several recent studies, which utilized scripting in mathematics education research and practice.

Developing Research in Mathematics Education

Twenty Years of Communication, Cooperation and Collaboration in Europe

Author: Tommy Dreyfus,Michèle Artigue,Despina Potari,Susanne Prediger,Kenneth Ruthven

Publisher: Routledge

ISBN: 1351625403

Category: Education

Page: 22

View: 677

Developing Research in Mathematics Education is the first book in the series New Perspectives on Research in Mathematics Education, to be produced in association with the prestigious European Society for Research in Mathematics Education. This inaugural volume sets out broad advances in research in mathematics education which have accumulated over the last 20 years through the sustained exchange of ideas and collaboration between researchers in the field. An impressive range of contributors provide specifically European and complementary global perspectives on major areas of research in the field on topics that include: the content domains of arithmetic, geometry, algebra, statistics, and probability; the mathematical processes of proving and modeling; teaching and learning at specific age levels from early years to university; teacher education, teaching and classroom practices; special aspects of teaching and learning mathematics such as creativity, affect, diversity, technology and history; theoretical perspectives and comparative approaches in mathematics education research. This book is a fascinating compendium of state-of-the-art knowledge for all mathematics education researchers, graduate students, teacher educators and curriculum developers worldwide.

Visuospatial Reasoning

An Ecocultural Perspective for Space, Geometry and Measurement Education

Author: Kay Owens

Publisher: Springer

ISBN: 3319024639

Category: Education

Page: 377

View: 3884

This book develops the theoretical perspective on visuospatial reasoning in ecocultural contexts, granting insights on how the language, gestures, and representations of different cultures reflect visuospatial reasoning in context. For a number of years, two themes in the field of mathematics education have run parallel with each other with only a passing acquaintance. These two areas are the psychological perspective on visuospatial reasoning and ecocultural perspectives on mathematics education. This volume examines both areas of research and explores the intersection of these powerful ideas. In addition, there has been a growing interest in sociocultural aspects of education and in particular that of Indigenous education in the field of mathematics education. There has not, however, been a sound analysis of how environmental and cultural contexts impact visuospatial reasoning, although it was noted as far back as the 1980s when Alan Bishop developed his duality of visual processing and interpreting visual information. This book provides this analysis and in so doing not only articulates new and worthwhile lines of research, but also uncovers and makes real a variety of useful professional approaches in teaching school mathematics. With a renewed interest in visuospatial reasoning in the mathematics education community, this volume is extremely timely and adds significantly to current literature on the topic.

The Legacy of Hans Freudenthal

Author: Hans Freudenthal

Publisher: Springer Science & Business Media

ISBN: 9780792326533

Category: Education

Page: 164

View: 8846

The Legacy of Freudenthal pays homage to Freudenthal and his work on mathematics, its history and education. Almost all authors were his scholars or co-workers. They testify to what they learned from him. Freudenthal himself contributes posthumously. His didactical phenomenology of the concept of force is both provocative and revealing in its originality, compared with what is usually found in physics instruction. Freudenthal is portrayed as a universal human being by Josette Adda. He made considerable contributions to mathematics itself, e.g. on homotopy theory and Lie groups in geometry. The exposition of Freudenthal's mathematical life and work is on Van Est's account. Henk Bos discusses his historical work. The essay review of the 8th edition of Hilbert's Grundlagen der Geometrie serves as a vehicle of thought. The main part of the book, however, concerns Freudenthal's work on mathematics education. Christine Keitel reviews his final book Revisiting Mathematics Education (1991). Fred Goffree describes Freudenthal's `Working on Mathematics Education' both from an historical as well as a theoretical perspective. Adrian Treffers analyses Freudenthal's influence on the development of realistic mathematics education at primary level in the Netherlands, especially his influence on the Wiskobas-project of the former IOWO. Freudenthal once predicted the disappearance of mathematics as an individual subject in education sometime around the year 2000, because it would by then have merged with integrated thematic contexts. Jan de Lange anticipates this future development and shows that Freudenthal's prediction will not come true after all. Reflective interludes unveil how he might have influenced those developments. Freudenthal contributed a wealth of ideas and conceptual tools to the development of mathematics education -- on contexts, didactical phenomenology, guided reinvention, mathematisation, the constitution of mental objects, the development of reflective thinking, levels in learning processes, the development of a mathematical attitude and so on -- but he did not design very much concrete material. Leen Streefland deals with the question of design from a theoretical point of view, while applying Freudenthal's ideas on changing perspective and shifting. For teachers, researchers, mathematics educators, mathematicians, educationalists, psychologists and policy makers.