Research On Function Teaching Based On Developing Mathematical Modeling Literacy Of Senior High School Students

Function is the focus of high school mathematics,but also difficult,is the foundation.In 2017,the Ministry of Education issued the Mathematics Curriculum Standards for Ordinary High Schools(2017 edition),which put forward six core qualities of high school mathematics.As one of the six core qualities,mathematical modeling literacy helps students express the world with mathematical language,discover and propose problems,perceive the correlation between mathematics and reality,learn to solve practical problems with mathematical modeling,and enhance the consciousness of innovation and scientific spirit.The essence of function is the relationship between variables,which is closely related to life,while mathematical modeling is the link between mathematics and the outside world,playing the role of bridge.The research of this paper will begin with how to improve function teaching from the perspective of developing students’ mathematical modeling literacy,improve students’ ability to analyze and solve problems,so as to achieve "learning to apply".The research of this paper has both theoretical value and practical value.Firstly,the concepts of function,mathematical model,mathematical modeling and mathematical modeling literacy are defined.Then,the existing research results are summarized and analyzed from the aspects of mathematical modeling literacy and high school function teaching.The summary of mathematical modeling literacy is divided into three aspects: connotation,process and level.Finally,combining constructivism theory,cognitivism theory and humanism theory,the theoretical basis of this study is sublimated.In view of the research content of this paper,the author conducted a questionnaire survey and interview with senior high school students in the school where the internship is taking place and some senior high school mathematics teachers in the area where the school is taking place.It is found that senior high school students have low mathematical modeling literacy and poor grasp of function knowledge,and there are also some problems in teachers’ teaching.There are mainly problems in the following aspects:(1)Students are not interested in the content of function,and their learning enthusiasm is not high;(2)Students lack understanding of function and fail to recognize the essence of function;(3)Students lack the ability to observe life and fail to recognize the connection between functional knowledge and real life;(4)Students lack understanding of mathematical modeling and do not realize the significance of mathematical modeling literacy;(5)The teacher has a single teaching method,a single teaching content and improper teaching design.In view of the above problems,according to the relevant theories and combined with the actual situation of senior high school,this paper puts forward the function teaching strategy of developing mathematical modeling literacy:(1)connect with life,mobilize students’ learning enthusiasm;(2)Interdisciplinary integrated teaching to promote students’ ability of thinking integration;(3)Infiltrate the thought method of modeling to strengthen students’ understanding of mathematical modeling;(4)Applying mathematical model to cultivate students’ transfer and application ability;(5)Reasonable use of modern information technology to improve students’ understanding ability;(6)Reasonable selection of mathematical models to cultivate students’ ability to transfer and create.Finally,combining theory with practice,based on the research conclusion of this paper,taking "The concept and nature of exponential function" as an example to conduct case analysis and teaching design,reflecting how to conduct function teaching from the perspective of developing students’ mathematical modeling literacy.