The Philosophy of Mathematics Education

Written By Paul Ernest
The Philosophy of Mathematics Education
  • Publsiher : Springer
  • Release : 04 August 2016
  • ISBN : 9783319405681
  • Pages : 26 pages
  • Rating : /5 from reviews
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Download or read book entitled The Philosophy of Mathematics Education by author: Paul Ernest which was release on 04 August 2016 and published by Springer with total page 26 pages . This book available in PDF, EPUB and Kindle Format. 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.

The Philosophy of Mathematics Education

The Philosophy of Mathematics Education
  • Author : Paul Ernest,Ole Skovsmose,Jean Paul van Bendegem,Maria Bicudo,Roger Miarka,Ladislav Kvasz,Regina Moeller
  • Publisher : Springer
  • Release Date : 2016-08-04
  • Total pages : 26
  • ISBN : 9783319405681
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Summary : 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, ...

An Introduction to the Philosophy of Mathematics

An Introduction to the Philosophy of Mathematics
  • Author : Mark Colyvan
  • Publisher : Cambridge University Press
  • Release Date : 2012-06-14
  • Total pages : 200
  • ISBN : 9783319405681
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Summary : This introduction to the philosophy of mathematics focuses on contemporary debates in an important and central area of philosophy. The reader is taken on a fascinating and entertaining journey through some intriguing mathematical and philosophical territory, including such topics as the realism/anti-realism debate in mathematics, mathematical explanation, the limits ...

Why Is There Philosophy of Mathematics At All

Why Is There Philosophy of Mathematics At All
  • Author : Ian Hacking
  • Publisher : Cambridge University Press
  • Release Date : 2014-01-30
  • Total pages : 308
  • ISBN : 9783319405681
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Summary : Hacking explores how mathematics became possible for the human race, and how it ensured our status as the dominant species....

Thinking about Mathematics

Thinking about Mathematics
  • Author : Stewart Shapiro
  • Publisher : OUP Oxford
  • Release Date : 2000-07-13
  • Total pages : 328
  • ISBN : 9783319405681
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Summary : Thinking about Mathematics covers the range of philosophical issues and positions concerning mathematics. The text describes the questions about mathematics that motivated philosophers throughout history and covers historical figures such as Plato, Aristotle, Kant, and Mill. It also presents the major positions and arguments concerning mathematics throughout the twentieth century, ...

Philosophies of Mathematics

Philosophies of Mathematics
  • Author : Alexander L. George,Daniel Velleman
  • Publisher : Wiley-Blackwell
  • Release Date : 2001-12-03
  • Total pages : 244
  • ISBN : 9783319405681
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Summary : This book provides an accessible, critical introduction to the three main approaches that dominated work in the philosophy of mathematics during the twentieth century: logicism, intuitionism and formalism....

Wittgenstein s Philosophy of Mathematics

Wittgenstein   s Philosophy of Mathematics
  • Author : V.H. Klenk
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Total pages : 128
  • ISBN : 9783319405681
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Summary : Wittgenstein's remarks on mathematics have not received the recogni tion they deserve; they have for the most part been either ignored, or dismissed as unworthy of the author of the Tractatus and the I nvestiga tions. This is unfortunate, I believe, and not at all fair, for these remarks are ...

Introduction to the Philosophy of Mathematics

Introduction to the Philosophy of Mathematics
  • Author : Hugh Lehman
  • Publisher : Unknown
  • Release Date : 1979
  • Total pages : 177
  • ISBN : 9783319405681
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Summary : Read online Introduction to the Philosophy of Mathematics written by Hugh Lehman, published by which was released on 1979. Download full Introduction to the Philosophy of Mathematics Books now! Available in PDF, ePub and Kindle....

Wittgenstein s Philosophy of Mathematics

Wittgenstein s Philosophy of Mathematics
  • Author : Pasquale Frascolla
  • Publisher : Routledge
  • Release Date : 2006-12-05
  • Total pages : 200
  • ISBN : 9783319405681
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Summary : Wittgenstein's role was vital in establishing mathematics as one of this century's principal areas of philosophic inquiry. In this book, the three phases of Wittgenstein's reflections on mathematics are viewed as a progressive whole, rather than as separate entities. Frascolla builds up a systematic construction of Wittgenstein's representation of the ...

Philosophy of Mathematics

Philosophy of Mathematics
  • Author : Øystein Linnebo
  • Publisher : Princeton University Press
  • Release Date : 2017-05-30
  • Total pages : 216
  • ISBN : 9783319405681
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Summary : A sophisticated, original introduction to the philosophy of mathematics from one of its leading contemporary scholars Mathematics is one of humanity's most successful yet puzzling endeavors. It is a model of precision and objectivity, but appears distinct from the empirical sciences because it seems to deliver nonexperiential knowledge of a ...

Introducing Philosophy of Mathematics

Introducing Philosophy of Mathematics
  • Author : Michele Friend
  • Publisher : Routledge
  • Release Date : 2014-12-05
  • Total pages : 240
  • ISBN : 9783319405681
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Summary : What is mathematics about? Does the subject-matter of mathematics exist independently of the mind or are they mental constructions? How do we know mathematics? Is mathematical knowledge logical knowledge? And how is mathematics applied to the material world? In this introduction to the philosophy of mathematics, Michele Friend examines these ...

Problems in the philosophy of mathematics

Problems in the philosophy of mathematics
  • Author : Imre Lakatos
  • Publisher : Elsevier
  • Release Date : 1967
  • Total pages : 241
  • ISBN : 9783319405681
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Summary : Read online Problems in the philosophy of mathematics written by Imre Lakatos, published by Elsevier which was released on 1967. Download full Problems in the philosophy of mathematics Books now! Available in PDF, ePub and Kindle....

Social Constructivism as a Philosophy of Mathematics

Social Constructivism as a Philosophy of Mathematics
  • Author : Paul Ernest
  • Publisher : SUNY Press
  • Release Date : 1998-01-01
  • Total pages : 315
  • ISBN : 9783319405681
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Summary : Extends the ideas of social constructivism to the philosophy of mathematics, developing a powerful critique of traditional absolutist conceptions of mathematics, and proposing a reconceptualization of the philosophy of mathematics....

Research in History and Philosophy of Mathematics

Research in History and Philosophy of Mathematics
  • Author : Maria Zack,Elaine Landry
  • Publisher : Birkhäuser
  • Release Date : 2015-11-10
  • Total pages : 192
  • ISBN : 9783319405681
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Summary : This volume contains thirteen papers that were presented at the 2014 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/La Société Canadienne d’Histoire et de Philosophie des Mathématiques, held on the campus of Brock University in St. Catharines, Ontario, Canada. It contains rigorously reviewed ...

An Aristotelian Realist Philosophy of Mathematics

An Aristotelian Realist Philosophy of Mathematics
  • Author : James Franklin
  • Publisher : Palgrave Macmillan
  • Release Date : 2014-04-08
  • Total pages : 320
  • ISBN : 9783319405681
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Summary : An Aristotelian Philosophy of Mathematics breaks the impasse between Platonist and nominalist views of mathematics. Neither a study of abstract objects nor a mere language or logic, mathematics is a science of real aspects of the world as much as biology is. For the first time, a philosophy of mathematics ...

Philosophy of Mathematics

Philosophy of Mathematics
  • Author : Stewart Shapiro
  • Publisher : Oxford University Press on Demand
  • Release Date : 2000
  • Total pages : 279
  • ISBN : 9783319405681
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Summary : Moving beyond both realist and anti-realist accounts of mathematics, Shapiro articulates a "structuralist" approach, arguing that the subject matter of a mathematical theory is not a fixed domain of numbers that exist independent of each other, but rather is the natural structure, the pattern common to any system of objects ...