Research On Function Teaching Design In High School Based On Mathematical Modeling Literacy

It is pointed out in the Curriculum Standards of Mathematics in Ordinary High School that the teaching of mathematics in high school should be guided by the development of students’ core competence of mathematics subject,create appropriate practical teaching background,improving students’ ability of applying mathematics to solve practical problems,and reflecting the application value of mathematics.Mathematical modeling learning activities should be carried out,and special knowledge studies and activities related to mathematical application should be set up.Mathematics courses in high school should allow students to experience the idea of combining theory with practice,so that students can feel that the book learning is related to real life and this can truly reflect the applicability of mathematics.As one of the most important contents in high school mathematics curriculum,function runs through the whole high school mathematics.It is of great significance to integrate the thought of mathematical modeling into the function teaching of high school students to develop their mathematics application consciousness and inquiry ability.Therefore,how to integrate mathematical modeling quality into the teaching of functions in high school is particularly important.In this thesis,literature method,comparative analysis,questionnaire and teaching case method are used to study.Firstly,by collecting the research materials and literature on the teaching of functions in senior high schools in recent years and the core accomplishment of mathematical modeling,we can understand the research status and theoretical basis.Secondly,in order to understand the teaching and learning status of teachers and students in functions based on the core literacy of mathematical modeling,a questionnaire is developed and statistical analysis is carried out,which investigate students’ learning and teachers’ teaching of functions and mathematical modeling in high school.Based on the comprehensiveness and complexity of mathematical modeling quality,this thesis tries to understand students’ application of mathematical models in high school functions.Combined with the results of teacher survey and interview,suggestions are put forward for the subsequent research of high school function teaching design based on mathematical modeling literacy.Based on the conclusion of investigation and research,cases of function teaching design based on the core literacy of mathematical modeling are formed.According to the characteristics and connections of mathematical modeling and functions,the specific learning objectives of lessons are obtained through analysis and design,and the reasonable teaching process is designed to achieve the learning objectives.The activities of teachers and students and the design intention are analyzed for each teaching link.In the teaching design of the cases,the understanding of students’ mathematical modeling ability is analyzed,which reflects what kind of function model to cultivate students’ ability,so as to improve students’ mathematical modeling literacy.It is expected to provide effective teaching design for function teaching based on mathematical modeling literacy,so as to provide reference for front-line teachers’ function teaching,better develop students’ mathematical modeling literacy and innovation ability,and reflect its educational value.This thesis provides a reference method for implementing mathematical modeling literacy into teaching,so as to promote mathematics teaching for the purpose of students’ mathematical modeling literacy.