Research On The Thought Of Mathematical Modeling Integrating Into High School Mathematics Teaching Strategy

With the rapid development of economy,science and technology,the new era has put forward new requirements for the quality of the whole nation and the quality of talent training.The newly issued mathematics curriculum standards for general high schools(2017 edition)proposes the teaching aiming at cultivating the core quality of mathematics,and lists mathematical modeling as one of the six core qualities of mathematics.However,due to the influence of traditional educational concepts,mathematical modeling has not been paid attention to,and the teaching of mathematical modeling has not been effectively implemented in high school.Therefore,it is of positive theoretical and practical significance to explore how to carry out mathematical modeling teaching in senior high school.On this basis,this thesis puts forward the research on the integration of mathematical modeling thought into high school mathematics teaching under the core accomplishment.This thesis is divided into six parts.The first part is the introduction,which mainly introduces the research background,expounds the new requirements of modern mathematics education and the current situation of mathematical modeling teaching,and proposes the main research contents of this thesis:(1)explore the integration of mathematical modeling thought under the guidance of the new curriculum standard into the teaching principles of high school mathematics;(2)explore the teaching strategies of integrating mathematical modeling ideas into high school mathematics under the guidance of the new curriculum standards;(3)case design with appropriate teaching content.The second part is the research review.Firstly,the concept of mathematical modeling problems and mathematical modeling ideas is defined.Secondly,relevant researches at home and abroad are sorted out by literature method.The third part is the status survey.This part is to truly understand the current situation of mathematical modeling teaching,in order to combine with the new curriculum standard to carry out modeling teaching thinking and research.Through the analysis of the survey results of teachers and students,we know that they have a positive attitude towards mathematical modeling.However,due to the shortage of class hours in high school,the high pressure of teachers and students,and the lack of specialized teacher modeling teaching training,the development of modeling teaching is hindered,so we try to explore the integration of mathematical modeling in daily teaching.The fourth part is the teaching suggestion of high school mathematics modeling thought into mathematics.According to the requirements and Suggestions on mathematical modeling in the course standard(2017 edition),five principles of mathematical modeling teaching are proposed,which are: following the principle of purpose,the principle of subjectivity,the principle of pertinence,the principle of quantification and the principle of inspiration.Next,it tries to put forward teaching strategies that can improve students' subject ability and subject core accomplishment:(1)Overall design,and gradually promote the cultivation of students' ability.(2)Appropriate mathematical modeling problems to cultivate the spirit of inquiry.(3)Based on the word problems in the textbook,comprehend the mathematical modeling ideas.(4)Attach importance to the application of information technology.(5)Focus on the formative process and promote students' learning.The fifth part is the teaching case design of mathematical modeling thought integrated into mathematics under the core accomplishment.Using the educational practice opportunity to carry on the practice to "function model and its application",and according to the teacher's suggestion to carry on the revision to the teaching design.On the basis of this experience,the application of simple linear programming and derivative is also designed as a case for the reference of front-line educators.The sixth part is summary and shortage.This part expounds the main conclusions,shortcomings and further research prospects of this paper.