Social Constructivism as a Philosophy of Mathematics
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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Mathematics, Education and Philosophy: An International Perspective
No preview available - 1991
A Critique of Absolutism in the Philosophy of Mathematics
Reconceptualizing the Philosophy of Mathematics
Wittgensteins Philosophy of Mathematics
Lakatoss Philosophy of Mathematics
The Social Construction of Objective Knowledge
Conversation and Rhetoric
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, ...
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. 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