数学定理学习的心理过程

The Psychological Process of Learning Mathematical Theorems

数学定理是构建数学大厦的支柱和骨架,是中学数学的主体.研究学生数学定理学习的心理过程,可以更好地解决学生在学习数学定理时所产生的认知差异、认知困难等问题,从而更好地指导教学.根据命题学习理论和杜宾斯基APOS理论,将数学定理学习的心理过程细化为五个阶段,分别为定理发现、定理确定、定理挖掘、定理应用和定理图式,并结合案例对其进行解析.

Mathematical theorems,as the backbone and framework in constructing the mathematical edifice,are the principal components of the middle school mathematics learning.A good understanding of the psychological process of students'learning of the mathematics theorems can better overcome the learning problems such as students'cognitive differences and cognitive difficulties and thus to provide a better guidance of teaching.Based on the theory of propositional learning and the APOS theory proposed by Dubinsky,the psychological process of students'mathematical theorem learning is sub-divided into five stages,namely the theorem discovery,the theorem confirmation,the theorem digging,theorem application and schema.And an analytical interpretation is made with some empirical examples.