Study On Mathematics Function In Henan Province In Recent Five Years

Function is an important part of math algebra in junior high school and the foundation of math learning in senior high school.The function question occupies the larger proportion in Henan province high school entrance examination mathematics question,no matter the question quantity or the question mark value all occupies the important position in the high school entrance examination,and the Henan province nearly five years high school entrance examination mathematics examination paper last one final question and the function is related.The function examination question content involves the knowledge point more,the synthesis is stronger,the difficulty is larger.Students to the function of the answer to the question is relatively chaotic,can achieve a standardized complete answer to the examinee proportion is very small.Therefore,it is necessary to study the function of the exam.The study of function test questions can help junior high school teachers and students to understand more comprehensively the examination methods and importance of function knowledge in senior high school examination.Help frontline teachers to further clarify the teaching focus and difficulties of function content,further improve the understanding of the comprehensive application of function knowledge and other relevant knowledge(such as plane geometry,equation,etc.),and further grasp the problem solving thoughts,methods and skills of function test.The main contents of this study are as follows:(1)the characteristics of the function test questions in the past five years in Henan province.The analysis is mainly carried out from four aspects:test item type and score distribution,knowledge point and score distribution,test item classification and difficulty analysis,and mathematical thinking and method.(2)investigation and analysis of Henan province in the past five years of high school function problems.Through the design of questionnaire and test paper,more than 330 students who just entered the senior high school in Henan province were investigated by questionnaire and test paper.Then the test results of statistical analysis,one is to understand the students' grasp of the knowledge of the function,the second is to understand the students to answer the question of the function of the error and analyze the reasons for the error.(3)function question solving strategies and teaching Suggestions.This paper analyzes the results of the test paper and the questionnaire,and puts forward the solving strategies of the functional questions and corresponding teaching Suggestions.The research methods mainly include literature research,comparative research questionnaire survey and qualitative analysisThe main conclusions are as follows:in the past five years,the score value of the function test has accounted for about a quarter of the mathematics test paper in Henan province.The main reasons for the errors in student function questions are unclear and inaccurate understanding of the meaning of the questions.Knowledge is not solid;Weak computing power;Problem solving;ideas and methods are deficient.For different types of function questions,the following strategies are put forward:undetermined coefficient method to find the analytic formula of function;The combination of number and shape turns ion into intuition.The graph problem is algebraized by turning motion into static.Concrete problem abstraction,practical problem algebra;Clarify the conditions and classify them properly.The following teaching Suggestions are put forward for students to solve the wrong reasons of function questions and how to cultivate students' problem-solving ability:strengthening the process teaching of basic concepts,properties and images of function;To strengthen the cultivation of students' computing ability;Attach importance to the cultivation of students' good problem-solving habits;To strengthen the infiltration of mathematical thinking and methods in the classroom teaching.The innovation of this paper lies in the research on the function of Henan provincial high school entrance examination.The two-way combination of questionnaire and test paper makes the survey result more comprehensiveBased on the research of the examination function test questions,hoping to help first-line teachers more deeply understand the examination function test characteristic and trend,rich function test problem solving related theory knowledge,targeted to teach my students better learning function in teaching basic knowledge,master problem-solving ideas and methods to improve the students' ability of mathematical problem solving,to improve the students' examination results.The research on the function of the high school entrance examination is of great significance to the improvement of teachers' teaching ability and the improvement of students' math scores in the high school entrance examination.