数学课堂教学的有效性是指通过数学课堂教学活动,使学生在数学上有提高、有进步、有收获。然而,课堂教学的过程永远是个未知数,在教学中,经常会有意想不到的事发生,或是一个错误,或是一段困惑。因为学生在学习过程中,他们的思维方法是各不相同的,因此,出现偏差和错误又是很正常的,而且我们的学生每天可能都在出错,可以说,错误伴随着学生一起成长。认知心理学派认为:错误是学习的必然产物,学生的知识背景、思维方式、情感体验、表 The effectiveness of mathematics classroom teaching refers to the mathematics classroom teaching activities that enable students to improve mathematics, progress, harvest. However, the process of classroom teaching is always unknown. In teaching, often unexpected things happen, either as a mistake or as a puzzle. Because students have different ways of thinking in the learning process, it is normal for deviations and mistakes, and our students may make mistakes every day. It can be said that errors accompany students to grow together. Cognitive psychology that: the error is an inevitable product of learning, students’ knowledge background, way of thinking, emotional experience, the table