数学学习是一个循序渐进的过程,在学习的过程中会不断出现各种各样的错误.数学教师们应怎样利用这些错误,将错误作为宝贵的教学资源,这就成为我们需要研究的一项课题.数学家维奥拉说:“发现谬误并纠正谬误,对于那些不是初学数学的人来说是一种极好的的检测手段,不仅可以检测你是否已经正确而深入地了解数学的真谛,还可以锻炼你的智力,并将你的判断和推理严格地约束在一种顺序之中.”这句话给我们一线教师指明了一条切实可行的道路——利用纠错训练 Mathematics learning is a gradual process, and various mistakes will continue to occur in the process of learning.Mathematical teachers should make use of these mistakes and make mistakes as valuable teaching resources, which becomes a subject we need to study Mathematician Viola said: “The discovery of errors and the correction of errors are excellent tests for those who are not beginners’ maths, not only to detect whether you have correctly and deeply understood the true meaning of mathematics, It can also exercise your intelligence and keep your judgments and inferences strictly tied to a sequence. ”This sentence gives our first-line teachers a clear path to practical use of error correction training