Research On Construction Method In Problem-solving In Senior High School Maths

With the constant development of society,the requirements for talents are getting higher and higher,among which College Entrance Examination is a crucial part to the growth of students.In terms of maths,the key to getting high marks in College Entrance Examination is the choice of problem-solving methods.Choosing a scientific method,the students can work out the problems more efficiently and effectively.The students' learning has already been the most important issue.In the course of analyzing maths courses and past years' papers of College Entrance Examination of maths,the students will encounter some difficult problems that they can't solve using conventional methods.Thus they need a novel and unique method,which we call construction method.This paper mainly elaborates construction method in the following aspects.Chapter one deals with some relevant concepts of construction method,introduction of the research,background of the research,goals ? methods and significance of the research,theoretical foundation,and principles of construction method.Chapter two,the core part,is mainly about the classification of maths construction method according to the object of construction.Through the analysis and research of the main content of senior high school maths,we classify maths construction method into the following objects of construction: construction of function,construction of equation(s),construction of series,construction of vector,construction of number(s),construction of probability and permutation and combination,construction of analytic geometry model,construction of proposition,construction of expression,construction of figure and construction of model,each of which is classified in detail and a specific example is included to help explain it.Chapter three is the creative point,which deals with the research of problem-solving strategies of construction method.Five specific examples are given and analytically thought combining theoretical foundation?principle and classification of construction method.At last,a complete problem-solving process is presented to explain how to think and analyze a problem,what object to construct as well as how to solve a problem using construction method when a specific problem is encountered.Chapter four is the conclusion?suggestions and reflection of the research.At first,it draws a conclusion of the research and then puts forward some suggestions based on the reality of the learning and teaching of the students and teachers respectively.In the end,a reflection is put forward on construction method in order to leave space for further research of other researchers.