“综合除法”的教学重点,是要求学生掌握方法,正确熟练地进行运算,难点是由分离系数法简化演变到综合除法的过程。教学中,如果只教给学生方法,可以躲过难点,但失掉了培养学生观察、分析问题能力的一个机会。数学教学的目的,绝不仅仅是向学生传授知识,而且要在传授知识的过程中,培养学生的能力。基于上述想法,我们认为这部分教材的教学目的是:理解由分离系数法简化到综合除法的演变过程,以培养 The key to the teaching of “Comprehensive Division” is to require students to master the methods and perform the calculations correctly and skillfully. The difficulty is that the separation coefficient method simplifies the evolution to the process of comprehensive division. In teaching, if you only teach students methods, you can avoid difficulties, but you lose an opportunity to develop students’ ability to observe and analyze problems. The purpose of mathematics teaching is not only to impart knowledge to students, but also to train students’ abilities in the process of imparting knowledge. Based on the above ideas, we believe that the teaching purpose of this part of the teaching materials is: to understand the evolution from the separation coefficient method to the synthesis division and to cultivate