Social Constructivism as a Philosophy of Mathematics

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SUNY Press, 1998 - Mathematics - 315 pages
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Proposing social constructivism as a novel philosophy of mathematics, this book is inspired by current work in sociology of knowledge and social studies of science. It extends the ideas of social constructivism to the philosophy of mathematics, developing a whole set of new notions. The outcome is a powerful critique of traditional absolutist conceptions of mathematics, as well as of the field of philosophy of mathematics itself. Proposed are a reconceptualization of the philosophy of mathematics and a new set of adequacy criteria.

The book offers novel analyses of the important but under-recognized contributions of Wittgenstein and Lakatos to the philosophy of mathematics. Building on their ideas, it develops a theory of mathematical knowledge and its relation to the social context. It offers an original theory of mathematical knowledge based on the concept of conversation, and develops the rhetoric of mathematics to account for proof in mathematics. Another novel feature is the account of the social construction of subjective knowledge, which relates the learning of mathematics to philosophy of mathematics via the development of the individual mathematician. It concludes by considering the values of mathematics and its social responsibility.

  

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Contents

A Critique of Absolutism in the Philosophy of Mathematics
1
Reconceptualizing the Philosophy of Mathematics
39
Wittgensteins Philosophy of Mathematics
64
Lakatoss Philosophy of Mathematics
97
The Social Construction of Objective Knowledge
131
Conversation and Rhetoric
162
The Social Construction of Subjective Knowledge
206
Social Constructivism Evaluation and Values
247
Bibliography
279
Index
305
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JSTOR: Social Constructivism as a Philosophy of Mathematics.
Social Constructivism as a Philosophy of Mathematics. By Paul Ernest. State University of New York Press, 1998, xiv + 315 pp., $19.95 softcover, ...
links.jstor.org/ sici?sici=0002-9890(199904)106%3A4%3C373%3ASCAAPO%3E2.0.CO%3B2-T

Paul Ernest Paper
SOCIAL CONSTRUCTIVISM AS A PHILOSOPHY OF MATHEMATICS. The social constructivist thesis is that mathematics is a social construction, a cultural product, ...
www.people.ex.ac.uk/ PErnest/ soccon.htm

bookreviews
bookreviews. Ernest, Paul:. Social Constructivism as a Philosophy. of Mathematics. Albany, NY: State University of New York Press, 1998. – ...
www.emis.de/ journals/ ZDM/ zdm992r1.pdf

Social Constructivism - Emerging Perspectives on Learning ...
Social Constructivism as a Philosophy of Mathematics: Radical Constructivism. Gredler, me (1997). Learning and instruction: Theory into practice (3rd ed). ...
www.coe.uga.edu/ epltt/ SocialConstructivism.htm

Wittgenstein, Education and the Philosophy of Mathematics
I shall draw on Ernest (1999) "Social Constructivism As A Philosophy Of Mathematics: Radical Constructivism Rehabilitated? ...
theoryandscience.icaap.org/ content/ vol003.002/ peters.html

Research Sampler: Glossary
[Paul Ernest, Social Constructivism as a Philosophy of Mathematics, SUNY Press, 1998.] Many scientists and mathematicians hold views of the nature of ...
www.maa.org/ t_and_l/ sampler/ rs_glossary.html

Constructivism, the psychology of learning, and the nature of ...
Ernest, P.: 1990, 'Social Constructivism as a Philosophy of Mathematics: Radical Constructiv-. ism Rehabilitated? Poster, PME-14, Mexico. ...
www.springerlink.com/ index/ T1250557Q3816735.pdf

Mathematics under the Microscope: What is missing from the social ...
In my Ernest, P. (1998) Social Constructivism as a Philosophy of Mathematics, Albany, New York: SUNY Press, I do address this partially. ...
www.maths.manchester.ac.uk/ ~avb/ micromathematics/ 2007/ 04/ what-is-missing-from-social.html

PES Yearbook: 1999: Michael R. Matthews: Footnotes
1 (1992): 89-100; and Ernest, Social Constructivism as a Philosophy of Mathematics. 33. Ernest, "Nature of Mathematics," 93. 34. Ibid., 91. ...
www.ed.uiuc.edu/ eps/ PES-Yearbook/ 1999/ matthews_fn.asp

Memo to Paul Ernest
... University of Exeter, UK FR: Kirby Urner, 4D Solutions, Portland, Oregon, USA RE: Your Social Constructivism as a Philosophy of Mathematics etc. ...
www.grunch.net/ synergetics/ ernest.html

About the author (1998)

Ernest is Reader in Mathematics Education, School of Education, University of Exeter in the United Kingdom.

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