Discovery of mathematical knowledge by reformulation of false conjectures in an proofs and refutations environment

被引：0
|
作者：
Bustos Rubilar, Alvaro Sebastian [1 ]
Zubieta Badillo, Gonzalo [1 ]
机构：
[1] IPN, CINVESTAV, Dept Matemat Educ, Mexico City 07738, DF, Mexico
来源：
ENSENANZA DE LAS CIENCIAS | 2015年 / 33卷 / 03期
关键词：
reformulation of conjectures; proofs and refutations; counterexamples; quasi-empiricism; experimentation in mathematics;
D O I：
10.5565/rev/ensciencias.1630
中图分类号：
G40 [教育学];
学科分类号：
040101 ; 120403 ;
摘要：
This paper exposes the results of a study carried out to future secondary school teachers. We present how the students discovered mathematical knowledge from a false conjecture, which was reformulated in a process of discussion based on some of the elements of the quasi-empirical method of proofs and refutations. Process steps along with the elements that were method are also described, and how the use of a dynamic geometry software allowed to students the exploration, verification, analysis and explanation of mathematical concepts related to reformulated conjecture.
引用
收藏
页码：117 / 136
页数：20
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