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变式是指相对于某种范式(即数学教材中具体的数学思维成果,含基本知识、知识结构、典型问题、思维模式等)的变化形式,就是不断变更问题的情境或改变思维的角度,在保持事物的本质特征不变的情况下,使事物的非本质属性不断迁移的变化方式,变式是模仿与创新的中介,是创新的重要途径。现代数学课程标准提出:要求教师充分关注学习过程,引导学生探索新知;遵循学生认知心理发展规律,合理组织教学内容,建立合理的数学训练系统;数学教学不仅仅
Variations refer to the changing forms of a certain paradigm (that is, specific mathematical thinking results in mathematics textbooks, including basic knowledge, knowledge structure, typical problems, thinking patterns, etc.), that is, constantly changing the situation of a problem or changing the thinking point of view, Under the condition of keeping the essential characteristics of things unchanged, the changing ways that make the non-essential attributes of things keep changing are the intermediaries of imitation and innovation, which are the important ways of innovation. The standard of modern mathematics curriculum puts forward: requiring teachers to fully pay attention to the learning process, to guide students to explore new knowledge; follow the law of students’ cognitive psychology, reasonably organize teaching content and establish a reasonable mathematical training system;