摘要
随着数学课程改革的深入,关于数学证明的教育价值的研究已经引起了越来越广泛的关注.数学证明是以一些基本概念和公理为基础,使用合乎逻辑的推理去决定判断是否正确.数学证明具有二重性,即它既是客观的,又是主观的.数学证明的教育价值应该体现在:从文化上,让学生体会数学的理性精神,懂得理性地思考问题;从知识上,证明能加深对概念和定理的理解,并能导致发现;从思维上,证明能训练和培养逻辑和非逻辑的思维能力.
The research on the educational value of mathematical proof had received an increasing interest along with the development of mathematical course reform. In this paper, we argued that mathematical proof had dual property. In other words, it was either objective or subjective. Based on the opinion, we analyzed checking function and resolving doubts function of mathematical proof, and elaborated the educational value of mathematical proof from three different quarters. This paper also permitted us to classify the mathematical proofs according to their educational significance.
出处
《数学教育学报》
北大核心
2007年第1期17-20,共4页
Journal of Mathematics Education
关键词
数学证明
证明的二重性
教育价值
理性精神
核实
mathematical proof
duality of proof
educational value
rational spirit
checking
resolving doubts
