MULTIMATHEMACY: Anthropology and Mathematics Education

Author: Rik Pinxten

Publisher: Springer

ISBN: 3319262556

Category: Education

Page: 190

View: 7070

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: 9580

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.

Social and Political Dimensions of Mathematics Education

Current Thinking

Author: Murad Jurdak,Renuka Vithal,Elizabeth de Freitas,Peter Gates,David Kollosche

Publisher: Springer

ISBN: 3319296558

Category: Education

Page: 37

View: 3375

This book examines the current thinking on five critical social and political areas in mathematics education. It focuses on material conditions in teaching and learning, and details features of social life and their influence on mathematics teaching, learning and achievement. Following an introduction, the first section addresses equitable access and participation in quality mathematics education. It explores this issue in different contexts and from different ideological perspectives. The second section traces the emergence and development of the notion of activism in mathematics education in theory, in the literature, in research and in practice. The third section then moves on to explore current research on the political forces at work in identity, subjectivity and (dis)ability within mathematics education, showing how emphasis on language and discourse provides information for this research, and how new directions are being pursued to address the diverse material conditions that shape learning experiences in mathematics education. Economic factors behind mathematics achievement form the topic of section four, which examines the political dimensions of mathematics education through the influence of national and global economic structures. The final section addresses distribution of power and cultural regimes of truth, based on the premise that although often deemed apolitical, mathematics and mathematics education are highly political institutions in our society. The book concludes with a summary and recommendations for the future.

Uses of Technology in Lower Secondary Mathematics Education

A Concise Topical Survey

Author: Paul Drijvers,Lynda Ball,Bärbel Barzel,M. Kathleen Heid,Yiming Cao,Michela Maschietto

Publisher: Springer

ISBN: 3319336665

Category: Education

Page: 34

View: 9419

This topical survey provides an overview of the current state of the art in technology use in mathematics education, including both practice-oriented experiences and research-based evidence, as seen from an international perspective. Three core themes are discussed: Evidence of effectiveness; Digital assessment; and Communication and collaboration. The survey’s final section offers suggestions for future trends in technology-rich mathematics education and provides a research agenda reflecting those trends. Predicting what lower secondary mathematics education might look like in 2025 with respect to the role of digital tools in curricula, teaching and learning, it examines the question of how teachers can integrate physical and virtual experiences to promote a deeper understanding of mathematics. The issues and findings presented here provide an overview of current research and offer a glimpse into a potential future characterized by the effective integration of technology to support mathematics teaching and learning at the lower secondary level.

Discourse Perspective of Geometric Thoughts

Author: Sasha Wang

Publisher: Springer

ISBN: 3658128054

Category: Education

Page: 232

View: 5068

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.

The Legacy of Hans Freudenthal

Author: Hans Freudenthal

Publisher: Springer Science & Business Media

ISBN: 9780792326533

Category: Education

Page: 164

View: 3617

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.

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: 5715

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.

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: 1700

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. ​​

Learning Mathematics

Constructivist and Interactionist Theories of Mathematical Development

Author: Paul Cobb

Publisher: Springer Science & Business Media

ISBN: 9401720576

Category: Education

Page: 194

View: 679

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.

The Dynamics of Opportunity in America

Evidence and Perspectives

Author: Irwin Kirsch,Henry Braun

Publisher: Springer

ISBN: 3319259911

Category: Education

Page: 489

View: 1726

Across the country, our children are beginning life from very different starting points. Some have aspirations and believe they can be achieved. For too many others, aspirations are tempered, if not dashed, by the sobering realities of everyday life. These different starting points place children on distinctly different trajectories of growth and development, ultimately leading to vastly different adult outcomes. How did we get to a place where circumstances of birth have become so determinative? And what must we do, within communities and across our country, to better equalize opportunity for more Americans – both young and old? The editors of this volume contend that if, as a nation, we do nothing, then we will continue to drift apart, placing an unsustainable strain on the nation’s social fabric and the character of its democracy. Consequently, understanding the dynamics governing the distribution and transmission of opportunity – and transforming this understanding into policies and programs – is critical for not only the life outcomes of individual Americans and their children, but also the country as a whole. The goal of Educational Testing Service’s Opportunity in America initiative is to explore these powerful dynamics and to describe and convey them in a way that advances the national conversation about why we must take action – and how best to do so. This volume contains 14 chapters, including an epilogue, written by leaders from a range of fields including education, economics, demography, and political science. Collectively, they not only illuminate key aspects of the problem but also offer suggestions of what policies, programs, and changes in practices could begin to reverse the trends we are seeing. Written in an engaging style, this volume constitutes an essential foundation for informed discussion and strategic analysis.

Transitions in Mathematics Education

Author: Ghislaine Gueudet,Marianna Bosch,Andrea A. diSessa,Oh Nam Kwon,Lieven Verschaffel

Publisher: Springer

ISBN: 3319316222

Category: Education

Page: 34

View: 9915

This book examines the kinds of transitions that have been studied in mathematics education research. It defines transition as a process of change, and describes learning in an educational context as a transition process. The book focuses on research in the area of mathematics education, and starts out with a literature review, describing the epistemological, cognitive, institutional and sociocultural perspectives on transition. It then looks at the research questions posed in the studies and their link with transition, and examines the theoretical approaches and methods used. It explores whether the research conducted has led to the identification of continuous processes, successive steps, or discontinuities. It answers the question of whether there are difficulties attached to the discontinuities identified, and if so, whether the research proposes means to reduce the gap – to create a transition. The book concludes with directions for future research on transitions in mathematics education.

Critical Issues in Mathematics Education

Major Contributions of Alan Bishop

Author: Philip Clarkson,Norma C. Presmeg

Publisher: Springer

ISBN: 9781441935113

Category: Education

Page: 258

View: 9167

Critical Issues in Mathematics Education presents the significant contributions of Professor Alan Bishop within the mathematics education research community. Six critical issues, each of which have had paramount importance in the development of mathematics education research, are reviewed and include a discussion of current developments in each area. Teacher decision making, spatial/visualizing geometry, teachers and research, cultural/social aspects of mathematics education, sociopolitical issues, and values serve as the basic issues discussed in this examination of mathematics education over the last fifty years during which Professor Bishop has been active in the field. A comprehensive discussion of each of these topics is realized by offering the reader a classic research contribution of Professor Bishop’s together with commentary and invited chapters from leading experts in the field of mathematics education. Critical Issues in Mathematics Education will make an invaluable contribution to the ongoing reflection of mathematic education researchers worldwide, but also to policy makers and teacher educators who wish to understand some of the key issues with which mathematics education has been and still is concerned, and the context within which Professor Bishop’s key contributions to these research issues were made.

Current and Future Perspectives of Ethnomathematics as a Program

Author: Milton Rosa,Ubiratan D’Ambrosio,Daniel Clark Orey,Lawrence Shirley,Wilfredo V. Alangui,Pedro Palhares,Maria Elena Gavarrete

Publisher: Springer

ISBN: 3319301209

Category: Education

Page: 45

View: 2404

This survey on the modernity of ethnomathematics addresses numerous themes related to both ethnomathematics and mathematics education. It offers a broader view of mathematics, including ideas, procedures, concepts, processes, methods, and practices rooted in distinct cultural environments. In addition, by reflecting on the social and political dimensions of ethnomathematics, another important aspect of this research program is the development of innovative approaches for a dynamic and glocalized society. Ethnomathematics recognizes that members of different cultures develop unique mathematical techniques, methods, and explanations that allow for an alternative understanding and transformation of societal norms. The theoretical basis of ethnomathematics offers a valid alternative to traditional studies of history, philosophy, cognition, and pedagogical aspects of mathematics. The current agenda for ethnomathematics is to continue an ongoing, progressive trajectory that contributes to the achievement of social justice, peace, and dignity for all. The debates outlined in this book share a few of the key ideas that provide for a clearer understanding of the field of ethnomathematics and its current state of the art by discussing its pedagogical actions, its contributions for teacher education, and its role in mathematics education.

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: 640

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.

Revisiting Mathematics Education

China Lectures

Author: Hans Freudenthal

Publisher: Springer Science & Business Media

ISBN: 0306472023

Category: Education

Page: 202

View: 8192

This book is a product of love and respect. If that sounds rather odd I initially apologise, but let me explain why I use those words. The original manuscript was of course Freudenthal’s, but his colleagues have carried the project through to its conclusion with love for the man, and his ideas, and with a respect developed over years of communal effort. Their invitation to me to write this Preface e- bles me to pay my respects to the great man, although I am probably incurring his wrath for writing a Preface for his book without his permission! I just hope he understands the feelings of all colleagues engaged in this particular project. Hans Freudenthal died on October 13th, 1990 when this book project was well in hand. In fact he wrote to me in April 1988, saying “I am thinking about a new book. I have got the sub-title (China Lectures) though I still lack a title”. I was astonished. He had retired in 1975, but of course he kept working. Then in 1985 we had been helping him celebrate his 80th birthday, and although I said in an Editorial Statement in Educational Studies in Mathematics (ESM) at the time “we look forward to him enjoying many more years of non-retirement” I did not expect to see another lengthy manuscript.

Becoming a World-Class University

The case of King Abdulaziz University

Author: Osama Tayeb,Adnan Zahed,Jozef Ritzen

Publisher: Springer

ISBN: 3319263803

Category: Education

Page: 190

View: 4949

This book written by international experts in the field of educational innovation is a guide for universities to become world-class universities. It contributes to the current international intellectual debate on the future of higher education. It also tells the story of King Abdulaziz University in Jeddah (Saudi Arabia) and its effort to become a world-class university. The book discusses excellence in different aspects such as education, research, community services, strategic planning, knowledge economy and international cooperation.

Melanie Klein

Early Analysis, Play, and the Question of Freedom

Author: Deborah P. Britzman

Publisher: Springer

ISBN: 3319260855

Category: Education

Page: 112

View: 5706

This volume introduces the psychoanalyst Melanie Klein to the general field of education and traces her theories of mental life as an emotional situation, through to problems of self/other relations in our own time. The case is made for Klein’s relevance and the difficulties her theories pose to the activities of learning and pedagogical relation. Klein’s vocabulary—the paranoid/schizoid and depressive positions, phantasy, object relations, projective identification, anxiety, envy, and the urge for reparation and gratitude— are discussed in terms of their evolution and the designs of her main questions, all stemming from the problem of inhibition. Her contribution to an understanding of symbolization and the shift from concrete thinking to greater freedom of mind is analyzed. The essay develops the following questions: why is learning an emotional situation? How did Klein’s life and larger history influence her views? What are her central theories of mental life? Why did Klein focus on anxiety and phantasies as making up the life of the mind? What is object relations theory? And, what does Klein’s model of the self proffer to contemporary education in schools and in universities?

APOS Theory

A Framework for Research and Curriculum Development in Mathematics Education

Author: Ilana Arnon,Jim Cottrill,Ed Dubinsky,Asuman Oktaç,Solange Roa Fuentes,Maria Trigueros,Kirk Weller

Publisher: Springer Science & Business Media

ISBN: 1461479665

Category: Education

Page: 254

View: 3505

In spite of the fact that APOS Theory has been used extensively in numerous scholarly publications, in the design of textbooks, and in teaching practice, there is no single references that contains all the relevant information about its components, and provides guidance about its application. The goal of this book is to present the main elements of APOS theory. It should be useful for researchers who work with, or would like to learn more about, this theoretical approach, people who are interested in the way which mathematical conceptions are constructed according to this theory, Mathematics Education researchers, graduate students in Mathematics Education, and Mathematics instructors.

ALTERNATIVE FORMS OF KNOWING (IN) MATHEMATICS

Celebrations of Diversity of Mathematical Practices

Author: Swapna Mukhopadhyay,Wolff-Michael Roth

Publisher: Springer Science & Business Media

ISBN: 9460919219

Category: Education

Page: 323

View: 7425

This book grew out of a public lecture series, Alternative forms of knowledge construction in mathematics, conceived and organized by the first editor, and held annually at Portland State University from 2006. Starting from the position that mathematics is a human construction, implying that it cannot be separated from its historical, cultural, social, and political contexts, the purpose of these lectures was to provide a public intellectual space to interrogate conceptions of mathematics and mathematics education, particularly by looking at mathematical practices that are not considered relevant to mainstream mathematics education. One of the main thrusts was to contemplate the fundamental question of whose mathematics is to be valorized in a multicultural world, a world in which, as Paolo Freire said, “The intellectual activity of those without power is always characterized asnon-intellectual”. To date, nineteen scholars (including the second editor) have participated in the series. All of the lectures have been streamed for global dissemination at:http://www.media.pdx.edu/dlcmedia/events/AFK/. Most of the speakers contributed a chapter to this book, based either on their original talk or on a related topic. The book is divided into four sections dealing with: • Mathematics and the politics of knowledge • Ethnomathematics • Learning to see mathematically • Mathematics education for social justice.

All Positive Action Starts with Criticism

Hans Freudenthal and the Didactics of Mathematics

Author: Sacha la Bastide-van Gemert

Publisher: Springer

ISBN: 9401793344

Category: Education

Page: 386

View: 1165

This study provides a historical analysis of Freudenthal’s didactic ideas and his didactic career. It is partly biographical, but also contributes to the historiography of mathematics education and addresses closely related questions such as: what is mathematics and where does it start? Which role does mathematics play in society and what influence does it have on the prevailing views concerning its accompanying didactics?. Hans Freudenthal (1905–1990), professor in mathematics, scientist, literator, but above all mathematics-educator, was inextricably linked to the changes which took place in mathematics education and didactics during the second half of the last century. His diversity as a scientist and his inexhaustible efforts to establish the didactics of mathematics as a seriously pursued science, made Freudenthal's influence in this area considerable. He foresaw an essential, practical role for mathematics in everyone’s life, encouraging students to discover and create mathematics themselves, instead of imposing a ready-made mathematical system. The theory of mathematics education thus developed in the Netherlands would gain world fame in the following decades. Today, in the light of the discussions about mathematics education, in which the call for `genuine’ mathematics instead of the so-called 'kindergarten'-mathematics can be heard, Freudenthal's approach seems to be passé. However, the outcome of this study (which is mainly based on documents from Freudenthal’s vast personal archive) shows a more refined picture. The direct identification of 'kindergarten'-mathematics with Freudenthal’s view on mathematics education is not justified. 'Realistic mathematics' as advocated by Freudenthal includes more than just a practical introductory and should, among other things, always aim at teaching 'genuine' mathematics in the end.