在几何教学中培养推理论证的能力,不是一朝一夕的事,需要有一定过程。初中二年级初学几何的学生,在第一年中证明命题时往往胡写一通,教师的“老经验”,觉得这是学习几何的必经阶段,至少学到初中三年级,才会稍稍“上路”。这种看法有一定的道理,但是也不尽然,要是按照一定的计划,有步骤地来培养,我们认为是可以比较迅速地提高学生这方面的能力的。另一方面,操之过急也会“欲速则不达”的,譬如到 The ability to develop reasoning and argumentation in geometry teaching is not a matter of course, and requires a certain process. Junior high school sophomore geometric geometry of students in the first year to prove proposition often write a pass, the teacher's “old experience” that this is the necessary stage to learn geometry, at least junior high school to learn, will be a little “on the road ”. This view has some truth, but not necessarily. If we follow a certain plan and train it step by step, we think it is possible to improve students' abilities in this respect more rapidly. On the other hand, excesses will be “too fast”, such as to