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

页码：117 / 136

页数：20

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