近年来有效教学很热.其实,有效教学不是什么新观念、新举措,有效教学提出之初,是为了纠正“教师的教学是个性化行为,凭良心行事,约定俗成”思潮,相比照于教学是艺术,即教学需要激情、技术、想象力、远见之明、决断力和勇气,而倡导教学是科学,要求教师实施教学要按人的认知规律、学科发展操作.但是,现今的一些“有效数学教学”不但其有效不尽人意,而且使师生负担非常重,和有效教 In recent years, effective teaching has been very hot. In fact, effective teaching is not a new concept or new measure. Effective teaching was first proposed to correct “teachers’ teaching is a personalized behavior, acting conscientiously, and pursuing a common idea ”, in contrast to Teaching is art, that is, teaching requires passion, technology, imagination, vision, determination, and courage. Advocating teaching is scientific. Teachers are required to implement teaching in accordance with the laws of human cognition and discipline development. However, some of the current “Effective mathematics teaching” is not only unsatisfactory, but also a heavy burden on teachers and students, and effective teaching.