Analysis And Enlightenment Of Mathematical Thinking Methods In The Mathematics Test Paper Of Shanghai Senior High School Entrance Examination

Shanghai junior high school graduates unified school exams(commonly known as the "test")is the completion of the nine year compulsory education in Shanghai City,the end of the nine year compulsory education students.The result of the examination is not only an important basis to measure the students' graduation standards,but also an important basis for the students' comprehensive quality and ability of all kinds of schools in the senior high school.With the deepening of education reform,China's education has gradually changed from the traditional examination oriented education to quality education.Mathematics education is not only a basic subject in natural science,but also an important part of quality education.Therefore,along with the curriculum reform,the curriculum goal of mathematics education has put forward the new request to the content and the key of the mathematics education.In the senior high school entrance examination mathematics examination paper in hand to adhere to test students' mastery of basic knowledge,basic methods and basic skills,on the other hand also need to test students' knowledge of the comprehensive ability,namely the use of mathematical thinking ability to analyze and solve problems.Therefore,we should attach great importance to the teaching and research of mathematical thinking methods,the implementation of quality education,and promote the development of students' creative thinking ability.The purpose of this paper is to provide some enlightenment and suggestions for the teaching of the senior middle school entrance examination through the analysis of the mathematical thinking and methods of the examination in Shanghai in the past years.This article is divided into six parts: the first chapter is the introduction,mainly to explain the research background and significanee of the topic,as well as research content and research methods.The second chapter mainly elaborates the basic thinking method of mathematics education in junior high school and teaching requirements,through the induction and analysis of the "curriculum standards of primary and middle schools in Shanghai Mathematics(Draft)" specific requirements in each chapter of the curriculum goal,and explained with the description of Shanghai senior high school entrance examination mathematics examination paper.The third chapter is the concrete embodiment of mathematical thought and method in the examination paper,mainly from 2001 to 2015 in Shanghai senior high school entrance examination mathematics examination questions of mathematical thought and me thod of consolidation,so that reflect the mathematical thought and method of the type,type,content and theme,through the analysis found that the Shanghai senior high school entrance examination mathematics examination in logarithmic form combining ideas and change thinking of the test is relatively frequent,and the idea of classified discussion,function and equation thought mainly in the answers to questions reflected in more questions.The fourth chapter is the mathematical thought and method in the comprehensive use of the senior high school entrance examination against the problem,mainly summarized the characteristics of refining in recent years in Shanghai senior high school entrance examination papers in the last item and problem solving need to master the methods of mathematical thinking,comprehensive nearly fifteen years against the problem found mainly in functional comprehensive questions and geometric comprehensive questions,two types of problems every year will involve a number of mathematical thought and method.The fifth chapter through the analysis of the Shanghai senior high school entrance examination mathematics examination paper,and Its Enlightenment to senior high school entrance examination exam review stage of mathematics teaching,puts forward some basic strategies and steps into the mathematical way of thinking in senior high school entrance examination exam review: in 1,the creation of problem situations,to solve the problem of mathematical thought and method specific to guide students;2,reflecting on the process of proble m-solving,guide the students summarize mathematical thought and meth od;3,strengthen variant training,internalization and promote students mathematics thinking method.The sixth chapter is the summary and prospect,mainly to the research work of this paper is summarized,and the existing problems are put forward the further research direction of the subject.