新课程改革下,实现中学数学有效教学跨越式发展必须做到:运用数学史,激发学生的创新热情,使教学实现有效性;加强基础知识教学,培养创新能力,促进有效教学发展;鼓励学生标新立异,开发学生创新思维,升华有效教学的境界;增强数学应用意识,培养学生创新能力,充分发挥有效教学的潜能等。 Under the new curriculum reform, to realize the leapfrog development of effective teaching of mathematics in middle schools, we must make full use of the history of mathematics to arouse the enthusiasm of students in innovation so as to make the teaching more effective; strengthen the teaching of basic knowledge, cultivate the innovative ability and promote the development of effective teaching; , Develop students ’innovative thinking, sublimate the realm of effective teaching, enhance the awareness of mathematical application, cultivate students’ innovative abilities, and give full play to the potential of effective teaching.