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Summary Mathematics is one of the great cultural achievements of humankind. Every schooled person understands the rudiments of number and measures and sees the world through this quantifying conceptual framework. By these means mathematics provides the file:///ho$20.99
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Social Constructivism As A Philosophy Of Mathemati
Social Constructivism as a Philosophy of Mathemati
Summary
Summary Mathematics is one of the great cultural achievements of humankind. Every schooled person understands the rudiments of number and measures and sees the world through this quantifying conceptual framework. By these means mathematics provides the file:///ho
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Social Constructivism as a Philosophy of Mathemati
Institution
Social Constructivism As A Philosophy Of Mathemati
Mathematics is one of the great cultural achievements of humankind. Every schooled
person understands the rudiments of number and measures and sees the world through
this quantifying conceptual framework. By these means mathematics provides the
file:///home/gyuri/downloads/ernest/1/fil...
5 of ...
Social Constructivism as a Philosophy of Mathematics
title: Social Constructivism As a Philosophy
of Mathematics SUNY Series, Reform in
Mathematics Education
author: Ernest, Paul.
publisher: State University of New York Press
isbn10 | asin: 0791435881
print isbn13: 9780791435885
ebook isbn13: 9780585075587
language: English
subject Mathematics--Philosophy,
Constructivism (Philosophy)
publication date: 1998
lcc: QA8.4.E76 1998eb
ddc: 510/.1
subject: Mathematics--Philosophy,
Constructivism (Philosophy)
Page ii
SUNY SERIES IN SCIENCE, TECHNOLOGY, AND SOCIETY
SAL RESTIVO AND JENNIFER CROISSANT, EDITORS
AND
SUNY SERIES, REFORM IN MATHEMATICS EDUCATION
JUDITH SOWDER, EDITOR
1. A Critique of Absolutism in the Philosophy of Mathematics 1
2. Reconceptualizing the Philosophy of Mathematics 39
3. Wittgenstein's Philosophy of Mathematics 64
4. Lakatos's Philosophy of Mathematics 97
5. The Social Construction of Objective Knowledge 131
6. Conversation and Rhetoric 162
7. The Social Construction of Subjective Knowledge 206
8. Social Constructivism: Evaluation and Values 247
Bibliography 279
Index 305
Page vii
Tables and Figures
Table 4.1. A Comparison of Popper's LSD and Lakatos's LMD 100
Table 4.2. A Comparison of Lakatos's LMD with His MSRP 109
Table 4.3. Cyclic Form of Lakatos's Logic of Mathematical 117
Discovery
Table 5.1. Dialectical Form of the Generalized Logic of 151
Mathematical Discovery
Table 7.1. Harré's Model of 'Vygotskian Space' 209
Table 7.2. Dowling's Model of Contexts for Mathematical 236
Practices
Figure 7.1. The Creative/Reproductive Cycle of Mathematics 243
Page ix
Acknowledgments
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