Research On The Practice Of Mathematical Modeling Thought In High School Mathematics Teaching

Twenty-first Century is the era of information technology and big data,which are closely related to mathematics.In order to adapt to the development of the times,the application of mathematics has been pushed to the front of us,and the application of mathematical knowledge to the practice of life has been one of the subjects of mathematics research.Mathematical modeling serves as a bridge between mathematical knowledge and real life.Mathematical modeling is one of the effective means of applying mathematical knowledge.Mastering the knowledge of applied mathematics is the necessary requirement for talents in the new era.Mathematics is an essential course in primary school,but from the research of some scholars in the past,many students still lack the ability to apply mathematical knowledge.Based on these realities is mainly about three problems,1: high school students and mathematics teachers to understand the mathematical modeling of the problem;2: there is no better way way,so that students can receive better learning,mathematical modeling;3: mathematics teachers how to better carry out the teaching of mathematical modeling.The author mainly used the literature analysis,questionnaire survey and interview analysis.To understand the development of mathematical modeling into the mathematics teaching at home and abroad and the related theory;through the investigation found that many high school students and teachers of mathematics are not understanding of mathematical modeling,and they are unfamiliar with mathematical modeling;and factors preventing the development of mathematical modeling activities from students,teachers,parents and society several aspects,the college entrance examination found that pressure and no understanding of mathematical modeling are the main factors.In order to change this situation,the mathematical modeling into high school mathematics teaching is an effective way in the process of integration;pay attention to the students' actual learning characteristics,take the first part,and then the whole way,step by step.High school mathematics knowledge is divided into several sections,corresponding mathematical modeling can be divided into nine types: set model,function model,vector model,geometric model,statistical and probabilistic model,series model,inequality model,derivative model,integrated model.According to different types of design of mathematical modeling of the relevant questions,students and teachers together to complete these questions at the same time,understanding ofmathematical modeling and mathematical modeling thought,feeling its steps.According to the actual situation and requirements on the mathematical modeling of curriculum standards of students,according to some researches,the author puts forward:(1)The mathematical modeling to some principles in mathematics teaching in high school: reflect the dominant position of students;paying attention to the mathematical ability;mathematics thought method;pay attention to students' all-round development;modeling activities should adapt to the students.(2)The mathematical modeling into the teaching of high school mathematics topics: mathematical modeling problems from the textbook adaptation of teachers;according to the daily life of teachers to write mathematical modeling problems;students according to the subject of mathematical modeling of their life.(3)Into the practice strategy of high school mathematics teaching from three aspects about the idea of mathematical modeling for students: to cultivate students' habit of observing things around them;to cultivate students' teamwork ability;cultivate students' reading ability and language ability;cultivate students' ability to collect effective information;cultivate students' comprehensive ability of applying knowledge.teachers: students with practical situation good the problem,choose the subject of mathematical modeling in high school students;focus on self-improvement,lifelong learning consciousness;establish a good relationship between teachers and students.other aspects: schools should provide students with good conditions for comprehensive development of mathematical modeling;the family and society should pay attention to the comprehensive development of children.(4)This paper designs two teaching cases of mathematical modeling thought in the teaching of mathematics in Senior High School: The definition and standard equation of ellipse;Derivation of summation formula for geometric series.