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在数学教学过程中,常有学生反映:能听懂课,但做不起作业。仔细分析后发现:学生学得“死”,所学的知识“搬不了家”。书上的作业是为复习、巩固所学知识、发展学生多种能力设置的。如果学生能灵活地掌握所学的知识,就能避免“能听懂课,但做不起作业”的现象发生。变式训练是一种新颖的教学方法,它的核心是利用构造一系列变式的方法,来展示知识的发生、发展过程;问题的结构及问题的演变过程;解决问题的思维过程。“万变不离其宗”,从变中加深对不变的理解,从而使学生灵活掌握基础知识,提高解决问题的能力,培养良好的思维品质。
In the mathematics teaching process, students often report that they are able to understand classes, but they cannot afford homework. After careful analysis, it was found that students learn “dead” and the knowledge they learned “can’t move home”. The book’s homework is designed to review, consolidate, and develop students’ diverse abilities. If students have the flexibility to master what they have learned, they can avoid the phenomenon of “being able to understand classes but not being able to do homework”. Variant training is a novel teaching method. Its core is to use the method of constructing a series of variants to show the process of the occurrence and development of knowledge; the structure of problems and the evolution of problems; and the process of thinking to solve problems. “Everything remains unchanged”, and the understanding of invariability is deepened from change, so that students can master basic knowledge flexibly, improve their ability to solve problems, and cultivate good thinking qualities.