| Great attention to efficiency has been paid in the process of high school mathematics teaching and learning.Between them,error prone points which students tend to make in the process of problem solving is particularly critical,not only affecting the teaching goal of teachers,but also students’ learning.However,the stage for the understanding of error prone points mainly rests on teachers and students experience.Error prone problems depend on the level of teachers and teachers’ own experience.Prior to the specific implementation of the investigation,I have summarized the domestic and foreign related research achievements and shortcomings on high school mathematics error prone points.Meanwhile,I have defined the concept of error prone concepts and the corresponding concept of coping strategies,which lays a theoretical foundation for the latter part.This paper focuses on the objective distribution of error prone points and the analysis of its reasons.It is done through the investigation of students’questions to the answers and some specific cases,thus to make it clear where the error prone ponts are and what the reasons are in Mathematics in high school.The main research contents of the error prone points are:Series、Triangle、Probability Statistics、Solid Geometry and Coordinate System and Parameter Equation.At the same time,the paper compares and analyzes the dimensions from gender differences and the differences of the levels of individual students.Besides,there are typical studies of some cases.Finally,it makes a summary of the error prone points of each of the research content and the common reasons an unique reasons of them.As getting the reason of the errors is not the end,the study and analysis of them make the paper valuable in seeking out the corresponding strategies.The corresponding strategies mainly include two aspects,that is,teaching strategies and learning strategies.Teaching strategies help teachers find particular teaching method to the error prone points,while the learning strategies contribute to the guidance of students’ daily learning habit and learning methods.The breakthrough of this problem lies in students’ errors.The paper points out that the teachers can improve students thinking,train students’ mathematical expression ability and mathematical logic ability based on their errors and the teachers’guidance,and this improving the effectiveness and efficiency in both teaching and learning. |