Proofs as bearers of mathematical knowledge

被引：49
|
作者：
Hanna G. [1 ]
Barbeau E. [2 ]
机构：
[1] Department of Curriculum, Teaching and Learning, Ontario Institute for Studies in Education, University of Toronto, Toronto, ON
[2] Department of Mathematics, University of Toronto, Toronto, ON
来源：
ZDM | 2008年 / 40卷 / 3期
关键词：
Quadratic Equation; Mathematical Knowledge; Mathematics Curriculum; Isosceles Triangle; Central Thesis;
D O I：
10.1007/s11858-008-0080-5
中图分类号：
学科分类号：
摘要：
Yehuda Rav's inspiring paper "Why do we prove theorems?" published in Philosophia Mathematica (1999, 7, pp. 5-41) has interesting implications for mathematics education. We examine Rav's central ideas on proof-that proofs convey important elements of mathematics such as strategies and methods, that it is "proofs rather than theorems that are the bearers of mathematical knowledge"and thus that proofs should be the primary focus of mathematical interest-and then discuss their significance for mathematics education in general and for the teaching of proof in particular. © FIZ Karlsruhe 2008.
引用
收藏
页码：345 / 353
页数：8
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