Analysis Of Problem Solving Errors In High School Parametric Inequalities And Research On Teaching Strategies

In the high school mathematics stage,the inequality problem with parameters has always been a difficult point in the curriculum.On the one hand,most of these problems need to be represented by various letters and symbols,which are abstract and difficult to understand;On the other hand,the knowledge points examined are relatively comprehensive,involving most of the contents of the high school curriculum.The types of questions are flexible,and the methods and ideas used to solve the questions are also different.In the college entrance examination questions,the examination of inequality with parameters is relatively fixed.Basically,the derivative related answer questions,even the multiple choice questions and the blank filling questions of each test paper will involve parameters and have large scores.Therefore,the research in this thesis is of great significance to the teaching and learning of inequality with parameters in high school mathematics.By referring to the curriculum standards and combining my own teaching experience,this thesis studies the error prone points in solving inequalities with parameters and the corresponding teaching strategies.With the background of high school thinking methods and core literacy,this thesis first summarizes nine types of problems related to parameter inequality,such as problems related to the operation of sets,the properties of functions,derivatives,and the corresponding logical ideas,problem solving methods,and the same type of variation problems.Secondly,through the analysis of the test paper and my own teaching practice,I summarized the four major problems and their causes in the process of solving the inequality with parameters,including the inability to correctly judge the parameters,the inability to correctly transform and transform,and the interference of junior high school knowledge and logic.Finally,the thesis puts forward corresponding solutions to the above problems,including four strategies for students in the learning process and five strategies for teachers in teaching.Studying the problem of parametric inequality in high school mathematics can help students enrich their thinking of solving problems,cultivate their ability of mathematical expression and mathematical logic,strengthen their comprehensive understanding and grasp of knowledge,and improve the pertinence and effectiveness of teachers’ teaching.