数学概念学习中的错误分析

Analysis on the Errors in Mathematics Concept Learning

数学概念学习中的错误主要有2种类型:(1)过程性错误.包括用日常生活概念、概念原型、“形象描述”等代替数学概念,分类与比较不合理,概括与抽象不完善,概念定义与概念相脱离,概念运用僵化,建立不恰当的联系,对联系作不正确的推广或依据个人经验强行进行不正确的联系等错误.(2)“合理性”错误.包括用原来的思维审视新的概念,按过去的经验、结论、方法对概念作“合理”的推广,不自觉地对思维进行限制等错误.

There were two types of errors in mathematics concept learning. Process error included using general knowledge and prototype and image replaced mathematics concept, irrationality of classification and comparison, faultiness of generalize and abstract, separation of definition and concept, irrelevancy of applying and relating, and mistake of extending and connecting. Reasonable error included using old thought to think new concept, reasonable generalize of past experiences and results and methods, and unconscious restriction of thinking.