在代数教学中,經常听到学生这么說:“代数学是容易学,就是容易錯。”意思是說,代数作业容易照“套”,但又往往会套錯或运算錯。这就充分說明在代数教学中存在着比較严重的形式主义傾向。因而对形式主义的数学开展斗爭是刻不容緩的事情;也只有克服了这种傾向,代数教学貭量的提高才有可能。現在把我在这方面所得到的一些体会提出来,希同志們指正。一、对于定理、公式或法則,經常反复强調它們的条件。过去老师在讲解定理、法則或公式时,虽然也指出它們的前提,但由于以后应用它們时,缺乏应有的强調。因而学生只掌握其結論而忽视了前提,不理解在什么条件下才可以应用它們,这就大大增加了学生解題中的盲目性。因此在讲“实数系数方程根的性质”时就特别突出“实数系数”这个条件,不但在讲这个定理时加以强調,而且举了虛数系数方程的例子,加深学生的印象,并且布置有关的作业加以巩固。不但这样,在以后解“高次方程”的过程中,求以已知根求作方程时 In algebra teaching, students are often heard to say: “Algebra is easy to learn, it is easy to be wrong.” Means that algebra operations are easy to “set”, but often set wrong or wrong. This fully shows that there is a serious tendency of formalism in algebra teaching. Therefore, the struggle against formalism mathematics is a matter of no delay; it is only by overcoming this tendency that the increase in algebra teaching is possible. Now let me bring up some of the experiences I have gained in this area. Comrades from the United States have corrected them. First, for theorems, formulas or laws, their conditions are often emphasized repeatedly. In the past, when teachers explained theorems, rules, or formulas, they pointed out their premise, but because they were applied later, they lacked the emphasis they deserved. Therefore, students only grasp their conclusions while ignoring the premise, and do not understand under what conditions they can apply them. This greatly increases the blindness of students in solving problems. Therefore, when we talk about the “property of the root of a real number coefficient equation”, we particularly highlight the condition of the “real number coefficient,” not only emphasize this theorem, but also give examples of imaginary coefficient equations, deepen students’ impressions, and arrange relevant The work is consolidated. Not only this way, in the process of solving “high order equations” later,