Classroom Teaching Of Functional Nature In Senior High School Based On Mathematics Abstract Literacy

In recent years,through consulting the literature,we can find that there are more and more researches on "mathematics core literacy",which is a hot topic in the educational circles and scholars.In the basic concept of the mathematics curriculum standard for general high schools(2017 edition),it is proposed that "the mathematics curriculum in high schools should be based on the development of students,carry out the fundamental task of establishing moral character and fostering the scientific spirit and innovative consciousness,and promote the core accomplishment of mathematics subject",it can be seen that the promotion of "mathematics core literacy" in high school mathematics curriculum is particularly important.Mathematics core literacy is divided into six core literacy,and "Mathematics Abstract Literacy" is the first of the six core literacy,which is determined by the abstraction of mathematics itself,therefore,it is very meaningful to carry out teaching research with the aim of cultivating students' mathematical abstract quality.And the classroom is the carrier of teaching content,so the author of this paper focuses on the study in the high school mathematics classroom to enhance the students' mathematical abstract literacy.In order to carry out the research,we need the carrier.After reading a lot of literature and combing the High School Mathematics Curriculum,the author finally chose the function property as the research carrier,according to the General High School Mathematics Curriculum Standard(2017 edition),the function property request mainly involves three aspects: the function monotonicity,the function parity,the function periodicity,therefore this article will carry on the research with these three parts as the carrier.In order to make the research reasonable,the author will use four methods: Literature method,questionnaire method,test paper method and interview method,the main subjects of the survey were two local senior high schools,namely No.1 Middle School and No.3 Middle School,with a total of 175 students.The questionnaire was designed according to the six levels of Blume's cognitive domain,and the students' level of mathematical abstract literacy was determined by 15 questions,from these six levels,the paper investigates the students' learning of the nature of function and the level of their mathematical abstraction.At the same time,through interviews,we can understand the implementation of the teachers' mathematical abstract quality in the classroom and the overalllevel of the students' mathematical abstract quality.Through the above research,investigation and interview,the author puts forward four strategies to cultivate students' abstract mathematical literacy in functional teaching: creating problem situations and abstract mathematical problems;Strengthen knowledge connection and promote mathematics abstraction;Using problem-driven to improve abstract ability;Strengthen problem-solving training and pay attention to reflection.Applying these four strategies to teaching design,combining with the corresponding teaching theories,teaching design aiming at cultivating students' mathematical abstract literacy is carried out.This paper will carry out teaching design on monotonicity of function,parity of function and periodicity of trigonometric function.Through such teaching design,we can draw one analogy from another and apply it to other mathematics teaching classes.