Practical Research On Monotonic Teaching Of High School Function Based On Mathematical Abstract Core Literacy

Abstraction is one of the characteristics of mathematics.The concepts,theorems,properties and research methods of mathematics are abstract.So mathematical ion is the necessary accomplishment of learning mathematics.The high school stage is the key period for students to develop the abstract quality of mathematics.Therefore,it is particularly important to cultivate students' core qualities of mathematical ion in high school teaching."General high school mathematics curriculum standards" emphasizes that through the study of high school mathematics curriculum,students can abstract mathematical concepts,rules,theorems and methods in real or pure mathematical situations,and accumulate activities from special to general experience.Can in real life and actual production,the use of mathematical abstract way of thinking,grasp the key to things,to simplify.Function is a core concept in high school mathematics teaching.Monotony of functions is one of the most commonly used properties of functions.Function monotonicity is widely used in the study of function graph,function maximum value and function derivative.Function monotonicity is abstract,symbolic and logical,which makes it difficult for students to understand the formation of the concept of function monotonicity.According to the requirements of "mathematics curriculum standards for ordinary senior high schools",students should experience the thinking process of mathematical abstraction through the process from concrete to abstract,from graphic language to natural language and then to the monotonous expression function of symbolic language,so as to cultivate the core quality of mathematical abstraction of students.In this paper,using the literature research,action research method,experimental method,abstract the core of mathematics literacy connotation,characteristics,classification and related theory must be analyzed,secondly the function monotonicity done related research,and then analyzed based on the mathematical abstraction "core literacy function monotonicity teaching strategy,finally through to the region's high school classroom teaching view,learning,communication,and combined with the author's teaching practice made based on the mathematical abstraction" functional monotonicity teaching the basic link of core literacy,teaching design and experimental research.Combined with the previous research results,the requirements of "mathematics curriculum standards for ordinary high schools" and the analysis of this study,this paper proposes a teaching strategy based on the monotonicity of "mathematics abstraction"core literacy function.The basic links of functional monotony teaching based on the core quality of "mathematical abstraction" are extracted:separation and construction--generalization and universality--definition and symbolization--systematization;The teaching design of functional monotony teaching based on the core accomplishment of"mathematical abstraction" is given.