Research On Teaching Problems Of High School Mathematical Modeling

According to the "General high School Mathematics Curriculum Standard(2017 edition)"officially promulgated in January 2018,it can be learned that mathematical modeling activities have become one of the hotspots of the new round of reform.Not only is mathematical modeling accomplishment one of the core qualities of the six mathematics disciplines,but the mathematical modeling activities and mathematical inquiry activities are also set up as one of the four main lines of the high school mathematics curriculum,and set up a compulsory course 6 lessons in a groundbreaking way.Mathematical modeling into middle School mathematics curriculum is the product of the Times,reflecting the development trend of mathematics subject more and more inclined to application,more explained that the application value of mathematics has been paid more and more attentional.However,as far as most secondary schools are concerned,mathematical modeling activities in mathematics teaching are still not valued or even carried out.Research shows that most of the reasons are that middle school mathematics teachers do not know how to determine suitable mathematical modeling topics for high school students and how to conduct mathematical modeling classroom teaching.Mathematical modeling topics are the preconditions for teachers to successfully carry out mathematical modeling activities and an important part of high school mathematical modeling teaching design.Therefore,the determination of suitable mathematical modeling topics for high school students is an essential and important part of the successful mathematical modeling activities in high school.Therefore,it is necessary to study the teaching problems of mathematical modeling in high school,so as to obtain the enlightenment for teachers to carry out mathematical modeling activities in high school.The main body of the paper is divided into four parts:The first part is the introduction.Starting from the background of mathematical modeling entering middle school,it analyzes the research significance of mathematical modeling teaching,and determines the problems and research methods of mathematical modeling teaching in high school.The second part mainly through the literature method to our country high school mathematics modeling teaching mode,the high school mathematics modeling topic and the high school mathematics modeling process,as well as the foreign related mathematics modeling teaching research present situation carries on the analysis reorganization,and determined in the paper the related concept definition.The third part is the teaching design of high school mathematical modeling,which is the key chapter of this paper.The flow chart of mathematical modeling teaching is designed,and the corresponding "teaching implementation”link is designed for students at different stages.Since the focus of mathematical modeling teaching is the selection and adaptation of mathematical modeling topics,the author analyzes the selection principles of mathematical modeling topics in senior high school from the perspective of curriculum standard analysis,learning situation analysis and textbook analysis,and explains them with specific cases.It is concluded that the selection principles of mathematical modeling topics are:authenticity principle,richness principle,extensiveness principle,process principle and tool principle.In the concrete implementation of mathematical modeling teaching,as a result of the learning situation is different,every teacher is good at teaching way also is different,so in determining the specific subject of mathematical modeling teaching,even the mathematical modeling of the same topic,teachers also need to according to different teaching situation and students adapted for suitable for their own classroom teaching mathematical modeling topics.The following four principles of adaptation are summarized,namely,the principle of richness,the principle of interest,the principle of class hours and the principle of knowledge.Finally,by studying successful excellent teaching cases of mathematical modeling and combining the principles of selection and adaptation of mathematical modeling topics,the teaching design of high school mathematical modeling subject suitable for primary contact with mathematical modeling is illustrated,and the teaching design is reflected from the perspective of topic selection.The fourth part is the summary and prospect.On the one hand,this paper elaborates the research summary from three perspectives:selecting mathematical modeling questions,adapting mathematical modeling questions and mathematical modeling classroom teaching.On the other hand,the innovation and prospect of this research are explained.The innovation of this paper lies in that it takes the selection and adaptation of mathematical modeling questions as the first step in the teaching of mathematical modeling,and gives the selection and adaptation principles of mathematical modeling questions in senior high school.However,since the implementation of mathematical modeling teaching needs to go deep into the high school mathematics classroom,the author hopes to practice in future teaching and obtain some new empirical research conclusions.