Conceptions of proof and proving in mathematics education - an analysis of the development of ideas in the didactics of mathematics

被引：5
作者：
Biehler, Rolf [1 ]
Kempen, Leander [1 ]
机构：
[1] Univ Paderborn, Inst Math, D-33098 Paderborn, Germany
来源：
JOURNAL FUR MATHEMATIK-DIDAKTIK | 2016年 / 37卷 / 01期
关键词：
Proof; Educational proof conceptions; Operative; preformal and generic proofs; Functions of proofs; History of mathematics education;
D O I：
10.1007/s13138-016-0097-1
中图分类号：
G40 [教育学];
学科分类号：
040101 ; 120403 ;
摘要：
The paper discusses several conceptions of proof in mathematics education, such as intuitive proofs, visual proofs, operative proofs, preformal proofs and generic proofs. This is done from a critical historical perspective on the development of ideas in mathematics education. Among others, we apply Arnold Kirsch's conception of an intellectually honest simplification of mathematics for learning in school. Finally, the paper touches the role of language and means of representation.
引用
收藏
页码：141 / 179
页数：39
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