论挖掘数学哲理性知识之思维教学  

Exploring the Philosophical Knowledge in Mathematics: How to Teach Thinking

作　　者：蔺云[1] 

机构地区：[1]嘉应学院数学系

出　　处：《数学教育学报》2009年第4期27-30,共4页Journal of Mathematics Education

摘　　要：数学哲理性知识指蕴涵于数学学科的知识体系之中，具有哲学思想和哲学意义的数学知识．数学哲理性知识是变量数学中形式逻辑与辩证逻辑交互作用的产物，是数学思维与哲学思维聚焦整合的结晶．数学教学唯有引导学生，让思维的触角延伸到哲学层面，使用矛盾分析和运用哲学辩证思维，方可体味习得．数学哲理性知识的教学活动的教育价值在于由这些知识所引发的哲学思维中存在的理性精神．As the most precious treasure in mathematics culture, the philosophical knowledge in mathematics played a unique part in cultivating rational mathematical thinking. However, philosophy in mathematics was the product of the interaction between formal logic and dialectical logic in variable mathematics, and between mathematical thinking and philosophical thinking. In teaching practice, students can only achieve and acquire this by being instructed to think and analyze philosophically, or dialectically. With the example of some typical problems in calculus teaching, this article illustrated how teachers can explore the educational values of teaching philosophical knowledge in mathematics and the triggered rational spirit in philosophical thinking.

关 键 词：数学哲理 辩证逻辑 哲学思维 理性精神 

分 类 号：G642[文化科学—高等教育学]