高效的课堂教学是我们教育人孜孜不倦的追求。在追求高效的课堂这条道路上老师们真可谓是八仙过海各显神通。这里我主要想和大家探讨一下如何利用错误来提高教学有效性。在数学教学过程中,不论是老师还是学生出错都是在所难免,一方面我们当然要力争让学生少犯错;而另一方面,我们要充分利用这些错误来为我们 Efficient classroom teaching is the tireless pursuit of our educators. In the pursuit of efficient classroom teachers on the road really can be said that the Eight Immortals each superb. Here I mainly want to discuss with you how to use errors to improve teaching effectiveness. In the process of teaching mathematics, mistakes made by teachers and students are unavoidable. On the one hand, we must of course strive to make students make fewer mistakes. On the other hand, we must make full use of these mistakes to help us