我们经常见到这样的一些数学课:有的教师讲得井井有条,知识分析透彻,算理演绎清晰,学生听得轻轻松松,似乎明明白白,但稍遇变式或实际问题却束手无策;有的教师设计了许多细碎的问题,师生之间一问一答,频率很高,表面上看十分流畅,但结果检测表明,学生知识的掌握和能力的形成却并不理想;有 We often see math classes like this: Some teachers are well-organized and have a thorough knowledge analysis. Their calculations are clear. The students can easily understand what seems to be plainly white, Teachers have designed many finely-grasped questions. Frequently asked questions and answers between teachers and students have a high frequency and are superficially smooth on the surface. However, test results show that students’ mastery of knowledge and ability are not ideal. There are