Towards A Philosophy Of Critical Mathematics Education

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Towards a Philosophy of Critical Mathematics Education

Author : Ole Skovsmose
Publisher : Springer Science & Business Media
Page : 312 pages
File Size : 51,5 Mb
Release : 2013-03-09
Category : Education
ISBN : 9789401735568

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Towards a Philosophy of Critical Mathematics Education by Ole Skovsmose Pdf

In Nineteen Eighty-Four George Orwell gives a description of different forms of suppression. We learn about the telescreens placed everywhere, through which it is possible for Big-Brother to watch the inhabitants of Oceania. However, it is not only important to control the activities of the inhabitants, it is important as well to control their thoughts, and the Thought Police are on guard. This is a very direct form of monitoring and control, but Orwell also outlines a more imperceptible and calculated line of thought control. In the Appendix to Nineteen Eighty-Four Orwell explains some struc tures of 'Newspeak', which is going to become the official language of Oceania. Newspeak is being developed by the Ministry of Truth, and this language has to substitute 'Oldspeak' (similar to standard English). Newspeak should fit with the official politics of Oceania ruled by the Ingsoc party: "The purpose of Newspeak was not only to provide a medium of expression for the world-view and mental habits proper to the devotees of Ingsoc, but to make all other modes of thought impos sible. It was intended that when Newspeak had been adopted once and for all and Oldspeak forgotten, a heretical thought - that is, a thought diverging from the principles of Ingsoc - should be literally unthink able, at least as far as thought is dependent on words.

Critical Mathematics Education: Past, Present and Future

Author : Anonim
Publisher : BRILL
Page : 232 pages
File Size : 46,6 Mb
Release : 2010-01-01
Category : Education
ISBN : 9789460911644

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Critical Mathematics Education: Past, Present and Future by Anonim Pdf

Critical mathematics education brings together a series of concerns related to mathematics and its role in society, the practices of teaching and learning of mathematics in educational settings, and the practices of researching mathematics education. The work of Ole Skovsmose has provided a seminal contribution to the shaping of those concerns in the international community of mathematics educators and mathematics education researchers.

The Philosophy of Mathematics Education

Author : Paul Ernest,Ole Skovsmose,Jean Paul van Bendegem,Maria Bicudo,Roger Miarka,Ladislav Kvasz,Regina Moeller
Publisher : Springer
Page : 33 pages
File Size : 46,5 Mb
Release : 2016-07-15
Category : Education
ISBN : 9783319405698

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The Philosophy of Mathematics Education by Paul Ernest,Ole Skovsmose,Jean Paul van Bendegem,Maria Bicudo,Roger Miarka,Ladislav Kvasz,Regina Moeller Pdf

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.

Critical Mathematics Education

Author : Paul Ernest,Bharath Sriraman,Nuala Ernest
Publisher : IAP
Page : 357 pages
File Size : 49,6 Mb
Release : 2016-01-01
Category : Education
ISBN : 9781681232614

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Critical Mathematics Education by Paul Ernest,Bharath Sriraman,Nuala Ernest Pdf

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.

The Philosophy of Mathematics Education Today

Author : Paul Ernest
Publisher : Springer
Page : 377 pages
File Size : 53,8 Mb
Release : 2018-06-09
Category : Education
ISBN : 9783319777603

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The Philosophy of Mathematics Education Today by Paul Ernest Pdf

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.

Critical Mathematics Education

Author : Ole Skovsmose
Publisher : Springer Nature
Page : 271 pages
File Size : 44,7 Mb
Release : 2023-02-28
Category : Education
ISBN : 9783031262425

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Critical Mathematics Education by Ole Skovsmose Pdf

The book Critical Mathematics Education provides Ole Skovsmose’s recent contribution to the further development of critical mathematics education. It gives examples of learning environments, which invite students to engage in investigative processes. It discusses how mathematics can be used for identifying cases of social injustice, and it shows how mathematics itself can become investigated critically. Critical Mathematics Education addresses issues with respect to racism, oppression, erosion of democracy, sustainability, formatting power of mathematics, and banality of mathematical expertise. It explores relationships between mathematics, ethics, crises, and critique. Ole Skovsmose has published what I might call his magnum opus, a 280-page synthesis and extension of his work simply called Critical Mathematics Education. In it he brings together his deep philosophical understanding and theorisation of mathematics itself, mathematics in society from a critical perspective, and mathematics in the teaching, learning and formation of students. For the mathematics education community, especially those concerned with social justice, philosophy, critical pedagogy and the nature of mathematics this is likely to be the publishing event of the year. In this book he offers something lacking in the literature, a philosophy of applied mathematics, as well as much more. Paul Ernest, Emeritus Professor, University of Exeter, UK

The Philosophy of Mathematics Education

Author : Paul Ernest,Ole Skovsmose,Jean Paul Van Bendegem,Maria Bicudo,Roger Miarka,Ladislav Kvasz,Regina Moeller
Publisher : Unknown
Page : 26 pages
File Size : 48,9 Mb
Release : 2016
Category : Education
ISBN : 3319405705

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The Philosophy of Mathematics Education by Paul Ernest,Ole Skovsmose,Jean Paul Van Bendegem,Maria Bicudo,Roger Miarka,Ladislav Kvasz,Regina Moeller Pdf

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.

Applying Critical Mathematics Education

Author : Anonim
Publisher : BRILL
Page : 296 pages
File Size : 46,9 Mb
Release : 2021-07-05
Category : Education
ISBN : 9789004465800

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Applying Critical Mathematics Education by Anonim Pdf

This volume showcases new insights, teaching ideas and new and unique ways of applying critical mathematics education, in areas as diverse as climate change, obesity, decolonisation and ethnomathematics.

Foregrounds

Author : Ole Skovsmose
Publisher : Springer
Page : 127 pages
File Size : 54,8 Mb
Release : 2014-11-04
Category : Education
ISBN : 9789462096530

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Foregrounds by Ole Skovsmose Pdf

"Foregrounds contributes to the development of theories of learning, in particular to theories of learning mathematics. It is relevant to students, student teachers, and researchers in the field of education as well as in mathematics education. Foregrounds contains six parts. Part I provides a summary of the notion of foreground as it has developed since the author introduced the idea in Towards a Philosophy of Critical Mathematics Education. In Part II, the reader meets some students who tell us about their neighbourhood, about drug dealing, violence, and about playing football. They tell us about their teachers, about mathematics, and about what they would like their teachers to do. They tell us about their hopes, expectations, and frustrations. Part III presents the notions of intentionality and life-world as developed by Brentano and Husserl. However, in Part IV the author provides a radical reinterpretation of these two notions. He describes “real-life intentionalities” and “real-life worlds” as profoundly structured by a range of social factors. Part V is composed as a meeting between, on the one hand, the students and their experiences as presented in Part II, and on the other hand these notions of “real-life intentionalities” and “real-life worlds”. Through this meeting the author develops further the notion of foreground. The concluding part (Part VI) brings more examples as illustrations. Ole Skovsmose has a special interest in critical mathematics education. He has investigated the landscape of investigation, students’ experience of meaning, project work, mathematics education and democracy, mathematics in action, and mathematics and power. He has published more than 20 books in Danish, English and Portuguese as well as a huge number of articles. Sense has published the following books by Ole Skovsmose: Travelling through Education, In Doubt, An Invitation to Critical Mathematics Education, and Opening the Cage: Critique and Politics of Mathematics Education, which is edited together with Brian Greer."

Mathematics Education

Author : Mark Wolfmeyer
Publisher : Routledge
Page : 168 pages
File Size : 44,8 Mb
Release : 2017-01-12
Category : Education
ISBN : 9781351979320

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Mathematics Education by Mark Wolfmeyer Pdf

Winner of the AESA 2017 Critics' Choice Book Award Mathematics Education offers both undergraduates and starting-graduate students in education an introduction to the connections that exist between mathematics and a critical orientation to education. This primer shows how concepts like race, class, gender, and language have real effects in the mathematics classroom, and prepares current and future mathematics teachers with a more critical math education that increases accessibility for all students. By refocusing math learning towards the goals of democracy and social and environmental crises, the book also introduces readers to broader contemporary school policy and reform debates and struggles. Mark Wolfmeyer shows future and current teachers how critical mathematics education can be put into practice with concrete strategies and examples in both formal and informal educational settings. With opportunities for readers to engage in deeper discussion through suggested activities, Mathematics Education’s pedagogical features include: Study Questions for Teachers and Students Text Boxes with Examples of Critical Education in Practice Annotated List of Further Readings Glossary

Critique as Uncertainty

Author : Ole Skovsmose
Publisher : IAP
Page : 391 pages
File Size : 53,9 Mb
Release : 2014-09-01
Category : Education
ISBN : 9781623967550

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Critique as Uncertainty by Ole Skovsmose Pdf

The title of the book is Critique as Uncertainty. Thus Ole Skovsmose sees uncertainty as an important feature of any critical approach. He does not assume the existence of any blue prints for social and political improvements, nor that certain theoretical structures can provide solid foundations for a critical activities. For him critique is an open and uncertain activity. This also applies to critical mathematics education. Critique as Uncertainty includes papers Ole Skovsmose already has published as well as some newly written chapters. The book addresses issues about: landscapes of investigations, students’ foregrounds, mathematics education and democracy, mathematics and power. Finally it expresses concerns of a critical mathematics education.

Critical Issues in Mathematics Education

Author : Bharath Sriraman,Paul Ernest,Brian Greer
Publisher : IAP
Page : 503 pages
File Size : 50,5 Mb
Release : 2009-06-01
Category : Mathematics
ISBN : 9781607522188

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Critical Issues in Mathematics Education by Bharath Sriraman,Paul Ernest,Brian Greer Pdf

The word "critical" in the title of this collection has three meanings, all of which are relevant. One meaning, as applied to a situation or problem, is "at a point of crisis". A second meaning is "expressing adverse or disapproving comments or judgments". A third is related to the verb "to critique", meaning "to analyze the merits and faults of". The authors contributing to this book pose challenging questions, from multiple perspectives, about the roles of mathematics in society and the implications for education. Traditional reasons for teaching mathematics include: preparing a new generation of mathematics researchers and a cadre of technically competent users of mathematics; training students to think logically; and because mathematics is as much part of cultural heritage as literature or music. These reasons remain valid, though open to critique, but a deeper analysis is required that recognizes the roles of mathematics in framing many aspects of contemporary society, that will connect mathematics education to the lived experiences of students, their communities, and society in general, and that acknowledges the global ethical responsibilities of mathematicians and mathematics educators. The book is organized in four sections (1) Mathematics education: For what and why? (2) Globalization and cultural diversity, (3) Mathematics, education, and society and (4) Social justice in, and through, mathematics education The chapters address fundamental issues such as the relevance of school mathematics in people's lives; creating a sense of agency for the field of mathematics education, and redefining the relationship between mathematics as discipline, mathematics as school subject and mathematics as part of people's lives.

An Invitation to Critical Mathematics Education

Author : Anonim
Publisher : BRILL
Page : 121 pages
File Size : 55,7 Mb
Release : 2011-01-01
Category : Education
ISBN : 9789460914423

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An Invitation to Critical Mathematics Education by Anonim Pdf

Invitation to Critical Mathematics Education deals with a range of crucial topics. Among these are students’ foreground, landscapes of investigation, and mathematics in actions.

Teaching Mathematics

Author : Brent Davis
Publisher : Routledge
Page : 352 pages
File Size : 45,6 Mb
Release : 2013-02-01
Category : Education
ISBN : 9781136520914

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Teaching Mathematics by Brent Davis Pdf

This book presents an approach to the teaching of mathematics that departs radically from conventional prescription-oriented and management-based methods. It brings together recent developments in such diverse fields as continental and pragmatist philosophy, enactivist thought, critical discourses, cognitive theory, evolution, ecology, and mathematics, and challenges the assumptions that permeate much of mathematics teaching. The discussion focuses on the language used to frame the role of the teacher and is developed around the commonsense distinctions drawn between thought and action, subject and object, individual and collective, fact and fiction, teacher and student, and classroom tasks and real life. The discussion also addresses the question of how mathematics teaching can be reformed to better suit current academic and social climates. Making use of the theoretical framework of enactivism, the book explores the subject through an account of a middle school teacher's appreciation and understanding of her role. Teaching mathematics, as both the report of this teacher's experience and the discussion make clear, demands an embracing of ambiguity, uncertainty, complexity, and moral responsibility. Courses for Adoption Education: Mathematics for Elementary Teachers, Methods for Teaching Elementary Schools, Methods for Teaching Secondary Schools, Curriculum Studies, Critical Pedagogy Special Features *Elucidates the importance and relationship between theory and practice. Employs reflective teaching techniques to focus students on their own learning, knowledge, and understanding of mathematics.Details a collaborative venture that traces the development of new thinking and insights about math teaching and learning. *A fine blending of theory with practice.

Opening the Cage

Author : Ole Skovsmose,Brian Greer
Publisher : Springer Science & Business Media
Page : 387 pages
File Size : 50,5 Mb
Release : 2012-09-05
Category : Education
ISBN : 9789460918087

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Opening the Cage by Ole Skovsmose,Brian Greer Pdf

The picture on the front of this book is an illustration for Totakahini: The tale of the parrot, by Rabindranath Tagore, in which he satirized education as a magnificent golden cage. Opening the cage addresses mathematics education as a complex socio-political phenomenon, exploring the vast terrain that spans critique and politics. Opening the cage includes contributions from educators writing critically about mathematics education in diverse contexts. They demonstrate that mathematics education is politics, they investigate borderland positions, they address the nexus of mathematics, education, and power, and they explore educational possibilities. Mathematics education is not a free enterprise. It is carried on behind bars created by economic, political, and social demands. This cage might not be as magnificent as that in Tagore’s fable. But it is strong. Opening the cage is a critical and political challenge, and we may be surprised to see what emerges.