Research On Cultivating Mathematics Core Literacy In High School Function Teaching

The Mathematics Curriculum Standard for Senior High Schools(2017 Edition)(hereinafter referred to as "Curriculum Standard")regards the development of mathematics core literacy as the core content of mathematics curriculum objectives.So,what measures can be taken to effectively cultivate the core literacy of high school students in mathematics content teaching? The landing of mathematical core literacy needs to be carried by mathematical content,and function is an important part of mathematical content,which contains many materials of mathematical core literacy.There are many mathematical methods in functions,which are important skills in analyzing mathematical problems.Therefore,this paper takes the content of the first-grade function as an example to analyze and discuss which core mathematical literacy can be cultivated in the concept of function,function image,function property,function exercises and function application,and put forward effective training measures.This paper adopts literature review method and action research method.Through consulting the data,this paper clarifies the connotation of mathematical literacy and mathematical core literacy,understands the current situation of the research on mathematical core literacy at home and abroad,and finds that the theory of "the zone of recent development" helps to cultivate the mathematical core literacy of senior high school students.In the teaching of function content,it is found that the teaching of function concept can focus on cultivating abstract mathematical literacy,function image teaching can focus on cultivating intuitive imagination literacy,function nature teaching can focus on cultivating logical reasoning literacy,and function application teaching can focus on cultivating mathematical modeling literacy.Through leading students to experience the formation of concepts,mathematical life,symbolization of mathematical characteristics,formalization of mathematical relations,reconstruction of mathematical forms and other measures,students abstract literacy can be effectively promoted.By cultivating students’ drawing habits,translation of shapes and numbers,and dynamic changes of information technology,students intuitive imagination literacy can be fostered.By establishing a knowledge network,students’ intuitive imagination literacy can be fostered.Such measures as network group,comprehensive application of reasoning forms,diversity of proof methods,generalization of mathematical methods and discovery of similar thinking modes can promote the cultivation of students logical reasoning literacy.The cultivation of mathematical modeling literacy can be facilitated by creating situations,experiencing the whole process of mathematical modeling and cultivating the ability of mathematical pattern recognition.Functional exercises can train studentsmathematical thinking of assimilation to train their thinking quality.In mathematics learning,we can also promote the understanding of abstract things through the method of "giving special examples".We can use the method of "causality" to trace the root of the problem,use "timely classification" to find the way to solve the problem,and use the idea of "accumulation model" to consolidate our own foundation,so as to lay a good foundation for quantitative change to qualitative change.Design two teaching designs for your reference.