Application Analysis Of Mathematical Modeling In College Entrance Examination Mathematics

With the rapid advancement of the information age,the application value of mathematical modeling has been paid more and more attention,which also has an impact on the teaching and learning of mathematics.The so-called superstructure is controlled by the economic basis.The social needs brought by the development of today’s economy and society make the education of mathematics not only stay in the study of theory and knowledge,but also pay attention to the promotion of learning.The ability of students to use theoretical knowledge to solve practical problems.Mathematical modeling,as the carrier of applied questions in mathematics,means the importance of mathematical modeling.The six core qualities of mathematics,including mathematical modeling,were pointed out in the "Mathematics Curriculum Standards for Senior High Schools" published in 2017.This is the first time that mathematical modeling is emphasized in official documents for learning.At the same time,the document clearly points out in the proposals for the system of college entrance examination questions that the students need to have the corresponding test questions and the level division to check whether they have the required mathematical modeling literacy.It can be seen that the mathematical modeling begins to be really integrated into the high school classroom,even in the college entrance examination questions.Therefore,this paper presents the mathematical modeling in the college entrance examination.The analysis of the application of mathematics is meaningful.Firstly,through the detailed elaboration and description of the background and current research situation of current mathematical modeling.this paper points out the direction of current research value of this topic,as well as the theoretical and practical significance of the article;through the understanding and analysis of the related concepts of modeling and modeling thought in the literature,it gives new views and viewpoints,summarizes and defines them,and gives the theoretical basis of the research this paper.Secondly,this paper makes an analysis of the mathematic examination questions in the college entrance examination.Taking the mathematic examination papers of each province from 2014 to 2018 as the research object,this paper analyses the types and characteristics of the examination questions,and lists seven common models in the college entrance examination questions: function model,linear programming model,triangle model,permutation and combination model,probability model and regression analysis model.Then it analyses them one by one,presents examples and points out the students ’mathematical modeling literacy level after the completion of the answer to the question.Subsequently,the number and value of the seven models are presented in the form of graphs and tables,and the data presented by the graphs and tables are analyzed.According to the analysis conclusion,the trend of the proposition of the mathematical modeling questions in the college entrance examination mathematics is predicted.Finally,the strategies to improve students ’ability to solve mathematical modeling problems are given,which include teachers’ active guidance strategies,that are teachers pay attention to classroom teaching activities,not only concept teaching activities but also problem solving teaching activities to better penetrate the idea of modeling,but also actively organize extracurricular modeling activities,strengthen students’ awareness of modeling,and summarize the corresponding for different problems,Modeling method can improve students ’ability of modeling;In addition,it also includes students’ self-cultivation strategies,that is,to enhance their ability to understand problems by attaching importance to learning the basic knowledge of mathematics;to actively participate in modeling activities and strengthen communication and cooperation;and to pay attention to integrating theory with practice in problem-solving,so as to improve their mathematical modeling literacy.This research expects to provide some thoughts and help for students to better solve the problem of mathematical modeling in college entrance examination,improve the speed of solving problems,to increase the correct rate,cultivate students’ modeling literacy,and improve their ability of solving modeling problems by analyzing the mathematical modeling questions in college entrance examination,so as to make readers understand the way of proposing the mathematical modeling questions and the scope of the knowledge points examined.