| The thought of symbolic-graphic combination exists in various chapters of mathematics in senior high school,and plays an extremely important role in college entrance examination.Mastering this thought plays an important role in understanding the essence of mathematical concept,optimizing the quality of individual thinking and improving the ability to solve problems.From the previous scholars' research,there are still many problems when students deal with the problem of symbolic-graphic combination,so the application of the thought of symbolic-graphic combination is worth paying attention to.Based on the science of mathematics in 2014-2018 national volume and Xuancheng City,Wuhu City two schools,a total of 311 people as the main research object,using literature method,questionnaire investigation,case analysis to study the thought of symbolic-graphic combination in the college entrance examination mathematics examination and grade for the use of the thought of symbolic-graphic combination.The main contents of the study are as follows:First of all,this paper expounds and explains the position of the thought of symbolic-graphic combination in the curriculum standard and college entrance examination,and points out that the subject has certain significance.Through a large number of literature,this paper summarizes the educational value,application principles,transformation methods and application misunderstandings of the thought of symbolic-graphic combination,and gives the theoretical basis of this study.Secondly,the degree,angle and carrier of the thought of symbolic-graphic combination in the national volume of science mathematics from 2014 to 2018 are summarized and sorted out.The conclusions are as follows:(1)The number of questions reflecting the thought of symbolic-graphic combination in the college entrance examination paper is about 8 questions.The score accounts for about 30%,in the selection,filling in the blanks,solving the problem of the axis of the examination many times,reflecting a certain degree of difficulty;(2)In the investigation angle,analyse the number in shape,the number and shape analyse each other mainly appear in the choice question and the filling question,and analyse the shape in number mainly appears in the answer question;(3)The investigation carrier is mainly the function,the analytical combination,the solid geometry,the inequality.On the basis of summing up and sorting out the test questions,this paper shows the application of the thought of symbolic-graphic combination in solving the problem according to the three aspects of analyse the number in shape,analyse the shape in number and the number and shape analyse each other,and sums up six models of the usual examination: image analysis model,slope model,Intercept model,distance model,quadratic curve model,integral model;Thirdly,a total of 311 students from Xuancheng City and Wuhu City were investigated by using self-designed questionnaire and test paper to investigate the present situation of solving problems by using the thought of symbolic-graphic combination and the influencing factors of students' mastering the thought of symbolic-graphic combination.The main conclusions are as follows:(1)The students' consciousness of using the thought of the symbolic-graphic combination to solve the problem is not strong;(2)The errors of the number-shape and the number-form transformation are easy to occur in the problem-solving;(3)The students' understanding of the thought of symbolic-graphic combination and the interest of learning,the teaching method of the teacher,the study of the students is related to the habit of solving problems;Finally,it is the conclusion and enlightenment of the study,which mainly looks forward to the proposition trend of the mathematics volume of the college entrance examination,and combines the research of the thought of symbolic-graphic combination and the problems found in the investigation of the present situation to put forward some suggestions for teachers and students to deal with the problem of the symbolic-graphic combination in the college entrance examination.This study hopes to make readers realize the charm of the idea of symbolic-graphic combination,and to provide some thoughts and suggestions on how to teach the idea of combining numbers and shapes well and how to improve the ability of solving problems for the teachers in the third year of senior high school. |
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