历年来,同学常反映“高等代数”难懂,尤其是讲到近世代数基本概念(群、环、域等),几乎每届同学都感到既抽象又乏味。学习上级关于教改的一系列指示,特别是毛主席对教育工作的指示后,我们决心解决这个“老、大、难”问题。在毛主席思想指导下,对教学方法作了些改进,情现有了转变。现在,又讲到过去一向被认为最难学、最抽象的“群”、“环”、“域”了,同学们并不感到很难,而且有不少同学说:“代数课比过去容易了,学得有味道了。”虽然,这个从“难”到“易”、从“乏味”到“有味”的转变,还只是初步的,但却使我们从实践中领悟到一条最根本的道理,这就是:老老实实按毛主席的指示办事,就的确能有所发现,有所前进。总结这一段摸索过程,我们的主要作法是:依靠《矛盾论》、《实践论》作指导,根据教材特点,按照认识规律,注意了以下几个关系的处理。 Over the years, students often reflect that “higher algebra” is difficult to understand. In particular, they talk about the basic concepts of modern algebra (groups, rings, domains, etc.). Almost every student feels both abstract and tedious. After learning a series of instructions from higher authorities on education reform, especially Chairman Mao’s instruction on education, we are determined to solve this “old, big and difficult” issue. Under the guidance of Chairman Mao’s thought, some improvements have been made in teaching methods, and the situation has changed. Now, I also mentioned that students in the past have always been considered the most difficult to learn, the most abstract “group”, “ring”, “domain”, and students do not feel very difficult, and many students said: “algebra easier than in the past And learned a taste. ”Although this shift from“ difficult ”to“ easy ”and from“ boring ”to“ scented ”is only preliminary, it has enabled us to realize from practice one of the most fundamental This is the truth: If you honestly act according to Chairman Mao’s instructions, you will indeed find something and go forward. To sum up this process of exploration, our main approach is: rely on “contradiction”, “practice” as a guide, according to the characteristics of teaching materials, according to the law of cognition, pay attention to the following relationship handling.