Ongoing Advancements in Philosophy of Mathematics Education

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Publisher : Springer Nature
ISBN 13 : 3031352092
Total Pages : 492 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Ongoing Advancements in Philosophy of Mathematics Education by : Maria Aparecida Viggiani Bicudo

Download or read book Ongoing Advancements in Philosophy of Mathematics Education written by Maria Aparecida Viggiani Bicudo and published by Springer Nature. This book was released on 2023-11-01 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ongoing Advancements in Philosophy of Mathematics Education approaches the philosophy of mathematics education in a forward movement, analyzing, reflecting, and proposing significant contemporary themes in the field of mathematics education. The theme that gives life to the book is philosophy of mathematics education understood as arising from the intertwining between philosophy of mathematics and philosophy of education which, through constant analytical and reflective work regarding teaching and learning practices in mathematics, is materialized in its own discipline, philosophy of mathematics education. This is the field of investigation of the chapters in the book. The chapters are written by an international cohort of authors, from a variety of countries, regions, and continents. Some of these authors work with philosophical and psychological foundations traditionally accepted by Western civilization. Others expose theoretical foundations based on a new vision and comprising innovative approaches to historical and present-day issues in educational philosophy. The final third of the book is devoted to these unique and innovative research stances towards important and change resistant societal topics such as racism, technology gaps, or the promotion of creativity in the field of mathematics education.

The Philosophy of Mathematics Education Today

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Author :
Publisher : Springer
ISBN 13 : 3319777602
Total Pages : 377 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis The Philosophy of Mathematics Education Today by : Paul Ernest

Download or read book The Philosophy of Mathematics Education Today written by Paul Ernest and published by Springer. This book was released on 2018-06-09 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an up-to-date overview of the research on philosophy of mathematics education, one of the most important and relevant areas of theory. The contributions analyse, question, challenge, and critique the claims of mathematics education practice, policy, theory and research, offering ways forward for new and better solutions. The book poses basic questions, including: What are our aims of teaching and learning mathematics? What is mathematics anyway? How is mathematics related to society in the 21st century? How do students learn mathematics? What have we learnt about mathematics teaching? Applied philosophy can help to answer these and other fundamental questions, and only through an in-depth analysis can the practice of the teaching and learning of mathematics be improved. The book addresses important themes, such as critical mathematics education, the traditional role of mathematics in schools during the current unprecedented political, social, and environmental crises, and the way in which the teaching and learning of mathematics can better serve social justice and make the world a better place for the future.

Philosophical Dimensions in Mathematics Education

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0387715754
Total Pages : 235 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Philosophical Dimensions in Mathematics Education by : Karen Francois

Download or read book Philosophical Dimensions in Mathematics Education written by Karen Francois and published by Springer Science & Business Media. This book was released on 2007-11-15 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Ethics and Mathematics Education

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Publisher : Springer Nature
ISBN 13 : 3031586832
Total Pages : 507 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Ethics and Mathematics Education by : Paul Ernest

Download or read book Ethics and Mathematics Education written by Paul Ernest and published by Springer Nature. This book was released on with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Explanation and Proof in Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 1441905766
Total Pages : 289 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Explanation and Proof in Mathematics by : Gila Hanna

Download or read book Explanation and Proof in Mathematics written by Gila Hanna and published by Springer Science & Business Media. This book was released on 2009-12-04 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the four decades since Imre Lakatos declared mathematics a "quasi-empirical science," increasing attention has been paid to the process of proof and argumentation in the field -- a development paralleled by the rise of computer technology and the mounting interest in the logical underpinnings of mathematics. Explanantion and Proof in Mathematics assembles perspectives from mathematics education and from the philosophy and history of mathematics to strengthen mutual awareness and share recent findings and advances in their interrelated fields. With examples ranging from the geometrists of the 17th century and ancient Chinese algorithms to cognitive psychology and current educational practice, contributors explore the role of refutation in generating proofs, the varied links between experiment and deduction, the use of diagrammatic thinking in addition to pure logic, and the uses of proof in mathematics education (including a critique of "authoritative" versus "authoritarian" teaching styles). A sampling of the coverage: The conjoint origins of proof and theoretical physics in ancient Greece. Proof as bearers of mathematical knowledge. Bridging knowing and proving in mathematical reasoning. The role of mathematics in long-term cognitive development of reasoning. Proof as experiment in the work of Wittgenstein. Relationships between mathematical proof, problem-solving, and explanation. Explanation and Proof in Mathematics is certain to attract a wide range of readers, including mathematicians, mathematics education professionals, researchers, students, and philosophers and historians of mathematics.

Symposium Proceedings Innovative Teaching Practices

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Publisher : WTM-Verlag Münster
ISBN 13 : 395987250X
Total Pages : 276 pages
Book Rating : 4.9/5 (598 download)

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Book Synopsis Symposium Proceedings Innovative Teaching Practices by : Janina Morska

Download or read book Symposium Proceedings Innovative Teaching Practices written by Janina Morska and published by WTM-Verlag Münster. This book was released on 2023-06-14 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the papers presented at the International Symposium: Innovative Teaching Practices held on August 14-18 2023 in The Queen’s College, Oxford University. The Symposium was organized by The Mathematics Education for the Future Project - an international philanthropic project founded in 1986 and dedicated to innovation in mathematics, science, computer and statistics education.

Mathematics Education and Philosophy

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Author :
Publisher : Taylor & Francis
ISBN 13 : 1135716269
Total Pages : 274 pages
Book Rating : 4.1/5 (357 download)

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Book Synopsis Mathematics Education and Philosophy by : Paul Ernest

Download or read book Mathematics Education and Philosophy written by Paul Ernest and published by Taylor & Francis. This book was released on 2003-09-02 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Currently there is a great deal of interest in philosophical issues in the teaching and learning of both mathematics and science education. In this book Ernest has collected together papers from the foremost researchers and practitioners in the philosophy of mathematics education and related areas, together with a selection of papers from the International Congress of Mathematics Education held in Quebec in 1992. Throughout, the outstanding feature of the collection is its multidisciplinary approach to the field of study. This book is the second in Paul Ernest's "Studies in Mathematics Education" series.

Perspectives on Mathematical Practices

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Publisher : Springer Science & Business Media
ISBN 13 : 1402050348
Total Pages : 243 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Perspectives on Mathematical Practices by : Bart van Kerkhove

Download or read book Perspectives on Mathematical Practices written by Bart van Kerkhove and published by Springer Science & Business Media. This book was released on 2007-06-01 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the eyes of the editors, this book will be considered a success if it can convince its readers of the following: that it is warranted to dream of a realistic and full-fledged theory of mathematical practices, in the plural. If such a theory is possible, it would mean that a number of presently existing fierce oppositions between philosophers, sociologists, educators, and other parties involved, are in fact illusory.

Creativity and Innovation for a Better World

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Publisher : BoD – Books on Demand
ISBN 13 : 1837688672
Total Pages : 218 pages
Book Rating : 4.8/5 (376 download)

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Book Synopsis Creativity and Innovation for a Better World by : Diana Dias

Download or read book Creativity and Innovation for a Better World written by Diana Dias and published by BoD – Books on Demand. This book was released on 2023-10-11 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Today more than ever, our world needs creativity and innovation as key pillars to drive growth, face challenges, and stand out in a competitive and demanding world. It has become pressing to reflect on how creativity and innovation can be fostered in society, especially among the younger generation who will be the protagonists of inevitable changes in the future. This book focuses on the intrinsic and fruitful link between creativity and innovation. It encompasses a set of reflections, experiences, and insights on how these two concepts become effective levers of each other. It also focuses on how to foster creativity and innovation in people, organizations, and communities, as well as how creativity and innovation can effectively make a difference for the better in a world that increasingly needs new and innovative solutions to increasingly complex problems. From diverse cultures and scientific fields and dissimilar research methodologies, the contributions that make up this book present an integrated approach to creativity and innovation as central concepts to contribute to a better society and better world. We believe that creativity and innovation are indeed the forces that drive progress, expression, and discovery. Investing in them is investing in a better, more balanced, and sustainable world.

Math Worlds

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Publisher : SUNY Press
ISBN 13 : 9780791413296
Total Pages : 302 pages
Book Rating : 4.4/5 (132 download)

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Book Synopsis Math Worlds by : Sal P. Restivo

Download or read book Math Worlds written by Sal P. Restivo and published by SUNY Press. This book was released on 1993-01-01 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: An international group of distinguished scholars brings a variety of resources to bear on the major issues in the study and teaching of mathematics, and on the problem of understanding mathematics as a cultural and social phenomenon. All are guided by the notion that our understanding of mathematical knowledge must be grounded in and reflect the realities of mathematical practice. Chapters on the philosophy of mathematics illustrate the growing influence of a pragmatic view in a field traditionally dominated by platonic perspectives. In a section on mathematics, politics, and pedagogy, the emphasis is on politics and values in mathematics education. Issues addressed include gender and mathematics, applied mathematics and social concerns, and the reflective and dialogical nature of mathematical knowledge. The concluding section deals with the history and sociology of mathematics, and with mathematics and social change. Contributors include Philip J. Davis, Helga Jungwirth, Nel Noddings, Yehuda Rav, Michael D. Resnik, Ole Skovsmose, and Thomas Tymoczko.

Transformation - A Fundamental Idea of Mathematics Education

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Publisher : Springer Science & Business Media
ISBN 13 : 1461434890
Total Pages : 417 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Transformation - A Fundamental Idea of Mathematics Education by : Sebastian Rezat

Download or read book Transformation - A Fundamental Idea of Mathematics Education written by Sebastian Rezat and published by Springer Science & Business Media. This book was released on 2013-12-13 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: The diversity of research domains and theories in the field of mathematics education has been a permanent subject of discussions from the origins of the discipline up to the present. On the one hand the diversity is regarded as a resource for rich scientific development on the other hand it gives rise to the often repeated criticism of the discipline’s lack of focus and identity. As one way of focusing on core issues of the discipline the book seeks to open up a discussion about fundamental ideas in the field of mathematics education that permeate different research domains and perspectives. The book addresses transformation as one fundamental idea in mathematics education and examines it from different perspectives. Transformations are related to knowledge, related to signs and representations of mathematics, related to concepts and ideas, and related to instruments for the learning of mathematics. The book seeks to answer the following questions: What do we know about transformations in the different domains? What kinds of transformations are crucial? How is transformation in each case conceptualized?

Opening the Research Text

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Publisher : Springer Science & Business Media
ISBN 13 : 0387754644
Total Pages : 257 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Opening the Research Text by : Elizabeth de Freitas

Download or read book Opening the Research Text written by Elizabeth de Freitas and published by Springer Science & Business Media. This book was released on 2007-12-19 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: An innovative contribution to educational research is to be found in this book. The book addresses the need to generate texts that assist educators and future educators in taking up new research and making sense of it. It offers unique approaches to interpreting research within the mathematics education field and takes its place in a growing set of resources. The book will appeal to teacher educators, student teachers, and mathematics education researchers alike.

The Philosophy of Mathematics Education

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Author :
Publisher :
ISBN 13 : 9783319405704
Total Pages : 26 pages
Book Rating : 4.4/5 (57 download)

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Book Synopsis The Philosophy of Mathematics Education by : Paul Ernest

Download or read book The Philosophy of Mathematics Education written by Paul Ernest and published by . This book was released on 2016 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: This survey provides a brief and selective overview of research in the philosophy of mathematics education. It asks what makes up the philosophy of mathematics education, what it means, what questions it asks and answers, and what is its overall importance and use? It provides overviews of critical mathematics education, and the most relevant modern movements in the philosophy of mathematics. A case study is provided of an emerging research tradition in one country. This is the Hermeneutic strand of research in the philosophy of mathematics education in Brazil. This illustrates one orientation towards research inquiry in the philosophy of mathematics education. It is part of a broader practice of 'philosophical archaeology': the uncovering of hidden assumptions and buried ideologies within the concepts and methods of research and practice in mathematics education. An extensive bibliography is also included.

Philosophical Dimensions in Mathematics Education

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Author :
Publisher : Springer
ISBN 13 : 9780387518619
Total Pages : 0 pages
Book Rating : 4.5/5 (186 download)

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Book Synopsis Philosophical Dimensions in Mathematics Education by : Karen Francois

Download or read book Philosophical Dimensions in Mathematics Education written by Karen Francois and published by Springer. This book was released on 2008-11-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Advances in Mathematics Education Research on Proof and Proving

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Publisher : Springer
ISBN 13 : 3319709968
Total Pages : 301 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Advances in Mathematics Education Research on Proof and Proving by : Andreas J. Stylianides

Download or read book Advances in Mathematics Education Research on Proof and Proving written by Andreas J. Stylianides and published by Springer. This book was released on 2018-01-10 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores new trends and developments in mathematics education research related to proof and proving, the implications of these trends and developments for theory and practice, and directions for future research. With contributions from researchers working in twelve different countries, the book brings also an international perspective to the discussion and debate of the state of the art in this important area. The book is organized around the following four themes, which reflect the breadth of issues addressed in the book: • Theme 1: Epistemological issues related to proof and proving; • Theme 2: Classroom-based issues related to proof and proving; • Theme 3: Cognitive and curricular issues related to proof and proving; and • Theme 4: Issues related to the use of examples in proof and proving. Under each theme there are four main chapters and a concluding chapter offering a commentary on the theme overall.

Reshaping School Mathematics

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Publisher : National Academies Press
ISBN 13 : 0309041872
Total Pages : 76 pages
Book Rating : 4.3/5 (9 download)

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Book Synopsis Reshaping School Mathematics by : National Research Council

Download or read book Reshaping School Mathematics written by National Research Council and published by National Academies Press. This book was released on 1990-02-01 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: The United States must restructure mathematics educationâ€"both what is learned and the way it is taughtâ€"if children are to develop the mathematical knowledge and skills they will need to be personally and professionally competent in the twenty-first century. Joining the recent reports that have opened a national dialogue on these issues, Reshaping School Mathematics focuses discussion on essential ideas that transcend details of current curricula or assessment results. It examines changing perspectives on the role of mathematics in society and changing practice in the use of technologyâ€"particularly calculators and computersâ€"in mathematics education.

Activity and Sign

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Publisher : Springer Science & Business Media
ISBN 13 : 0387242708
Total Pages : 383 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Activity and Sign by : Michael H.G. Hoffmann

Download or read book Activity and Sign written by Michael H.G. Hoffmann and published by Springer Science & Business Media. This book was released on 2005-12-06 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: The advancement of a scientific discipline depends not only on the "big heroes" of a discipline, but also on a community’s ability to reflect on what has been done in the past and what should be done in the future. This volume combines perspectives on both. It celebrates the merits of Michael Otte as one of the most important founding fathers of mathematics education by bringing together all the new and fascinating perspectives created through his career as a bridge builder in the field of interdisciplinary research and cooperation. The perspectives elaborated here are for the greatest part motivated by the impressing variety of Otte’s thoughts; however, the idea is not to look back, but to find out where the research agenda might lead us in the future. This volume provides new sources of knowledge based on Michael Otte’s fundamental insight that understanding the problems of mathematics education – how to teach, how to learn, how to communicate, how to do, and how to represent mathematics – depends on means, mainly philosophical and semiotic, that have to be created first of all, and to be reflected from the perspectives of a multitude of diverse disciplines.