The Teaching Research Of Using The Construction Method To Solve The Number Sequence Problem

The construction method is one of the most important problem-solving methods in middle school mathematics.It can help students to rationally transform problems and plays a positive role in the cultivation of students' creative ability.The series of problems are related to functions,equations,inequalities,derivatives and so on.It appears in the mathematics test papers of college entrance examinations over the years frequently.They involve a wide range of knowledge and have high requirements for students' logical derivation ability.This paper attempts to summarize the common types of problems in the construction of the solution,to make a scale for the students' ability to solve problems in the series,and to develop an effective test volume based on the scale to test the students' ability to solve problems after expanding the teaching.At what level and analysis leads to conclusions.The author first consulted the college entrance examination questions and related literatures,and defined the core concepts such as construction method,construction method problem solving and sequence problem,and combed the theoretical basis of it,and carried out the common types of construction method to solve the series problem.Summary finishing.Then based on the classification of problem-solving ability and the classification of SOLO in PISA2003,listening to the suggestions of several mathematics teachers,divided the level of problem solving of high school students into three levels and five levels,and make a scale based on the scale test.Finally,through the questionnaire survey,the main causes of the mistakes of the third-year students in solving the series of problems are used.The students' problem-solving strategies are used improperly,and the two-month high-level students are offered a two-month extension of the number of constructive solutions.Through the test volume to understand their level of problem solving and comparative analysis to get conclusions,and give teaching suggestions.Through the study of this paper,the following conclusions are obtained:Firstly,the construction method has its unique advantages when it comes to certain types of series problems.The main types are the problem of constructing auxiliary series solving series,the problem of constructor solving series and the problem of constructing equations.Secondly,through the questionnaire survey,the main reasons for the mistakes of the third-year students in solving the series of problems are: the basic knowledge is not well grasped,the logical reasoning is wrong,and the problem-solving strategy is improperly used.Thirdly,after two months of constructive method to solve the problem of expanding the number of questions,the students in the experimental class have significantly improved the level of problem solving by using the construction method,and the number of people who can pass the thinking conversion has increased significantly in the problem-solving strategy.Finally,based on the research conclusions of this paper,some suggestions for reference are given.