Design And Application Of Mathematical Modeling Problems In High School

Mathematical modeling is to establish a consistent mathematical model according to the problem situation,solve the model and solve practical problems,and plays an important role in middle school mathematics.The core literacy of mathematical modeling has been proposed in the 2017 "General High School Mathematics Curriculum Standards"(hereinafter referred to as "New Curriculum Standards"),and requires mathematical modeling activities and mathematical inquiry activities to occupy 6 class hours of the required courses,indicating that mathematical modeling is more important.It has been paid more and more attention.Corresponding mathematics topics have also become an important part of teaching.Mathematical modeling topics are one of the necessary materials to improve mathematical modeling ability.The mathematical modeling level of middle school students is low.An important reason is that there are no materials suitable for students.How to propose practical mathematical modeling topic design based on the "New Curriculum Standard" mathematical modeling literacy level is a very meaningful question.It is of great significance for high school mathematical modeling teaching,topic assignment,and intelligent selection of topics.This article first investigates the current situation of high school students’ mathematical modeling through questionnaires,mainly investigating students’ emotions in mathematical modeling,cognition of mathematical modeling,students’ learning styles,and students’ sense of self-efficacy in mathematical modeling.The emotion of mathematical modeling is high,the cognitive level of mathematical modeling reflects hierarchical,and the self-efficacy of mathematical modeling is high.Then combined with the "General High School Mathematics Curriculum Standards(2017 Edition)",the core literacy level of middle school students,the characteristics of mathematics modeling questions in the college entrance examination,the cognitive characteristics of students and the characteristics of mathematical modeling questions,the principles of designing high school mathematical modeling questions are proposed.Provide a theoretical basis for later evaluation and design of high school mathematical modeling topics.Secondly,in order to evaluate high school mathematical modeling topics,based on the above theoretical principles and comprehensive factors affecting the topics,an evaluation index system for high school mathematical modeling topics was constructed,and the analytic hierarchy process and expert questionnaire survey methods were used to construct a comprehensive high school mathematical modeling topic.The evaluation model is used to quantitatively evaluate the existing and designed high school mathematical modeling problems.Provide specific operation methods for the classification and use of mathematical modeling topics.Furthermore,according to the design and selection principles of high school mathematical modeling topics,the mathematical modeling topics of equation model,linear function fitting,sequence model,trigonometric function and function comprehensive model are designed,and the matters needing attention in designing high school mathematical modeling topics are given.Finally,in order to make the designed mathematical modeling questions more practical,this paper uses the constructed mathematical modeling topic evaluation model to quantitatively evaluate the designed mathematical modeling topics.In order to verify the evaluation effect,apply the evaluated mathematical modeling topics With students.Recover students’ test papers,analyze the data,compare with the data obtained from the mathematical modeling question evaluation model,and correct the classification of the test questions.Correspondingly,suggestions on topic design and suggestions on applying mathematical modeling to teaching are put forward.The current situation of high school students’ mathematical modeling investigated in this paper,based on the basis of mathematical modeling questions,puts forward the principles of designing mathematical modeling questions,and establishes a quantifiable evaluation index system and mathematical model for evaluating mathematical modeling questions,and provides evaluation design Mathematical modeling questions in is an example.It is of great significance for teachers to design questions that meet the ability of students in the future,and to cultivate students’ mathematical modeling ability.For students to intelligently assign corresponding cognitive level mathematical modeling questions to pave the way.