美国心理学家桑代克研究认为,学生的学习就是一个不断的“试误”过程,在这个过程中,无关的错误反应逐渐减少,而正确的反应最终形成.正是由于有了先前积累的错误认识,学生对新知的学习才显得更加的全面和深刻.深入研究学生学习中的代表性错误,可以为我们的教学指明方向,弥补学生认识上的不足.高中数学教学中,我发现在求解三角函数有关问题时,学生经常会由于多种原因产生各种各样的错误,我将这些资源集中分析,为进一步的巩固教学提供了有效的后续保障. American psychologist Thorndijk argues that student learning is an uninterrupted “trial and error” process in which irrelevant error reactions diminish gradually, and correct responses eventually come into existence precisely because of the previous Accumulation of misunderstandings, the students become more comprehensive and profound learning of new knowledge.Deeper study of student representative errors in the study, we can point out the direction of our teaching to make up for lack of understanding of students in high school mathematics teaching, I found When solving problems related to trigonometric functions, students often make various mistakes due to a variety of reasons. I analyzed these resources intensively and provided an effective follow-up guarantee for further consolidating teaching.