摘要
对数学本质的认识要从实际数学活动过程和数学的持续有效性出发,除了拉卡托斯的启发式过程,对“前启发式过程”以及从应用中发现、创造数学的过程的研究是结合实际数学活动过程认识数学本质的重心.具体的技术分析不仅要基于数学史,更要全面地考察数学的“横断面”.数学的持续有效性也是揭示数学本质的源泉之一.
It was effective to analyze mathematics essence by studying the actual mathematical action process and the persistent effect. The research, which contained Lakatos抯 heuristic, into the previous heuristic and the process of forming mathematics from practice was a center of analyzing mathematics essence. The technical analysis based on not only the mathematics history but also the overview of mathematics progress nowadays. Another center of analyzing mathematics essence was the persistent effect of mathematics.
出处
《数学教育学报》
2004年第1期42-44,共3页
Journal of Mathematics Education
关键词
数学本质
持续有效性
“前启发式过程”
认识论
mathematics essence
method
actual mathematical action process
previous heuristic
persistent effect
