Research On The Drawing Up Of Mathematical Modeling Problems In Senior High School

The research on the drawing up of mathematical modeling problems is beneficial to the implementation of mathematical modeling activities required by "Curriculum Standards",the solution of mathematical modeling teaching problems for teacher,and the improvement of students’ mathematical modeling capabilities.Therefore,it is very important to study the drawing up of mathematical modeling problems in senior high school.First of all,this dissertation analyzes the current research status of mathematical modeling problems in senior high school through literature,statistical analysis,and finds that there are many problems with the mathematical modeling problems in the textbooks,such as the mathematical modeling problems are divorced from the actual life of students,the conditions of problems are too clear,the mathematical modeling process is incomplete,and the solutions of problems are not being open enough,and the mathematical modeling problems are not strongly related to other subjects.Secondly,this dissertation collects front-line teachers’ views on mathematical modeling problems and opinions on the drawing up of mathematical modeling problems through interview.The results of the interview show that front-line teachers think that the drawing up of mathematical modeling problems in senior high school needs to consider whether the problems are valid,are related to students’ life,are related to the requirements of "Curriculum Standards",and reflect complete mathematics modeling process.Finally,this dissertation takes Vygotsky ’s Theory of the Zone of Proximal Development and PISA test philosophy as the theoretical basis for the drawing up of mathematical modeling problems in senior high school,and combines the theoretical basis and survey results to achieve the following four results: First,the drawing up of mathematical modeling problems in senior high school is based on "Curriculum Standards",characteristics of mathematical modeling problems,learning psychology of students,opinions of front-line teachers on the drawing up of mathematical modeling problems and the status of the drawing up of mathematical modeling problems in the textbooks.Second,the principles of drawing up of mathematical modeling problems in senior high school include the principle of true background,the principle of hidden conditions,the principle of effective problem,the principle of complete process,the principle of accessible reading,and the principle of tool participation.Third,there are two strategies for drawing up of mathematical modeling problems in senior high school,one is to adapt the mathematical problems in the textbooks into mathematical modeling problems,and the other is to design mathematical modeling problems by using hot topics in life.Fourth,six mathematical modeling problems in senior high school that meet certain requirements are formulated according to the established basis,principles and strategies.