数学教学的中心任务是要塑造学生良好的数学认知结构,使之具有不断吸收新数学知识的能力和知识的自我生成能力。学生头脑中须有组织合理的数学知识结构,才可能使已有的知识成为结构化知识,才能在长时记忆中便于激活和提取,并与新学习的数学内容建立自然的、内在的逻辑关系。 The central task of mathematics teaching is to create a good mathematical cognitive structure of students so that they have the ability to constantly absorb new mathematical knowledge and self-generating knowledge. It is necessary for students to have a well-organized structure of mathematical knowledge in their minds so as to make the existing knowledge into structured knowledge so as to be able to be activated and extracted in long-term memory and to establish a natural and intrinsic logical relationship with the newly learned mathematical content .