The Philosophy of Mathematics Education

by Paul Ernest, Ole Skovsmose, Jean Paul van Bendegem, Maria Bicudo, Roger Miarka

Overview

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.

Product Details

ISBN-13:	9783319405681
Publisher:	Springer International Publishing
Publication date:	07/16/2016
Series:	ICME-13 Topical Surveys
Edition description:	1st ed. 2016
Pages:	26
Product dimensions:	6.10(w) x 9.25(h) x (d)

Table of Contents

Introduction, Rationale, The Philosophy of Mathematics Education Part 1 The Philosophy of Mathematics 1 A Critique of Absolutist Philosophies of Mathematics 2 The Philosophy of Mathematics Reconceptualized 3 Social Constructivism as a Philosophy of Mathematics 4 Social Constructivism and Subjective Knowledge 5 The Parallels of Social Constructivism Part 2 The Philosophy of Mathematics Education 6 Aims and Ideologies of Mathematics Education 7 Groups with Utilitarian Ideologies 8 Groups with Purist Ideologies 9 The Social Change Ideology of the Public Educators 10 Critical Review of Cockcroft and the National Curriculum 11 Hierarchy in Mathematics, Learning, Ability and Society 12 Mathematics, Values and Equal Opportunities 13 Investigation, Problem Solving and Pedagogy

Editorial Reviews

This pamphlet is framed as an overview of the field of philosophy of mathematics education, and it lives up to that promise. … I found this short book interesting and engaging … .” (Brian P. Katz, MAA Reviews, October, 2016)

From the Publisher

The first offering in a new series consisting of studies in mathematics education based on disciplined perspectives, but aiming to link theory with practice. Building on the work of Lakatos and Wittgenstein, this book challenges the prevalent notion that mathematical knowledge is certain, absolute and neutral, and offers instead an account of mathematics as a social construction. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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