| Mathematical problem-solving teaching plays an important role inhigh school mathematics teaching, also has an indispensable teachingfunction. In the usual mathematics teaching, we often find thatstudents make some different kinds of mistakes. Mistakes are commonthings for students, how to treat and use of mistakes, get a greatrelationship with the further improvement of the academicperformance.How to reduce or even avoid the problem-solving errors in studentsmathematics learning? That is a question all the first-line teachers andacademic researcher focusing on. This is also the students eager to getanswers from teachers. Therefore, the mistake collecting andresearching have a great practical significance.In this paper, with the cases collected in teaching practice, authorarrange a variety of educational theory and put forward a proposalthat collect and classify the mistakes to divide into four types: The weakbasic knowledge of mathematics, The limiting cognitive strategy ofmathematics, Enlightenment thinking is blocked, The defectivelyproblem-solving habits and training methods. Base on the research ofthe mistake’s types and reason, author proposed four strategies:Stratified collection strategy, Induction collection strategy, reason ofmistake collection strategy, Question types collection strategy.According to this research and the results, we gave our adviceand strategies have been introduced to students and teachers on errormanagement, which can prove the correctness and the feasibility ofthe strategy. |