从专业的角度来说,课堂教学有效性是指通过课堂教学使学生获得发展。发展就其内涵而言,指的是知识与技能、过程与方法、情感态度与价值观三者的协调发展。通俗地说,课堂教学的有效性是指通过课堂教学活动,使学生在学业上有收获,有提高,有进步。而增强数学课堂教学的有效性,重点要面对学生。这就要求我们教 From a professional point of view, the effectiveness of classroom teaching refers to the development of students through classroom teaching. In terms of its connotation, development refers to the coordinated development of knowledge and skills, processes and methods, emotional attitudes and values. To put it in a nutshell, the effectiveness of classroom teaching means that through classroom teaching activities, the students gain something in their studies, improve and progress. And to enhance the effectiveness of mathematics classroom teaching, focusing on students. This requires us to teach