基于建构主义的数学概念转变学习

Mathematics Conceptual Change Learning Based on Constructivism

概念转变学习是学生原有概念的改变、发展和重建,是学生的前概念向科学概念的转变.日常概念、概念意象、迁移等因素是数学概念转变学习中产生错误概念的主要原因.根据概念转变的途径、机制和条件理论,概念转变学习的教学策略:(1)了解学生已有知识经验,促进日常概念向科学的数学概念转变;(2)引发认知冲突,辨清新旧界限以实现数学概念转变学习;(3)重视概念生成的凝聚,构建概念网络.

The conceptual change learning was that the students transformed, developed and reconstructed their former concepts, it was a conversion course from pre-concept to scientific concept. The main cause of misconceptions in mathematics conceptual conversion included the factors: routine concepts, conceptual imagoes, and transfer. According to constructivism, and based on the theory of conceptual conversion avenue, mechanism and qualification, we ought to adopt the following teaching strategy: we should realize students mathematics conceptual change learning upon finding out their former concepts, leading to cognition collision and constructing conceptual network.