Research On Trigonometric Function Teaching In High Schools Based On The Cultivation Of Mathematical Abstract Literacy

"General High School Mathematics Curriculum Standards(2017 Edition)" proposes six core qualities.They are mathematical abstraction,logical reasoning,mathematical modeling,intuitive imagination,mathematical operations,and data analysis.Mathematics abstract literacy is at the top of the six core literacy,and mathematics itself has strong abstraction.Therefore,improving the abstract literacy of mathematics can better grasp the essence of mathematics and use the knowledge learned to better solve practical problems.Develop students' abstract literacy in mathematics is an inevitable requirement for mathematics teaching.Trigonometric functions are an important part of high school mathematics.It has always been valued in teaching.Therefore,how to develop the mathematical abstraction in the teaching process is a challenge for teachers.Based on the mathematical abstraction and the teaching of trigonometric functions,the thesis conducts a concrete research on the teaching of trigonometric functions for the mathematical abstract literacy.The thesis is divided into six parts.The first part introduces the research background,research significance,research content,research process and methods of the research.The second part introduces the research status of trigonometric functions in high school and mathematical abstract literacy at home and abroad.The third part conducts interviews and questionnaire surveys with teachers and students respectively.Its purpose is to understand the current situation of trigonometric function teaching in high school.Through the analysis,the problems existing in the teaching process of mathematical abstract literacy are obtained.In the fourth part,the article analyzes the trigonometric function chapter in the "General High School Curriculum Standard Experimental Textbook,People's Education Version A".And it analyzes the feasibility and teaching carrier of this part of the content to implement the abstract literacy of mathematics.In the fifth part,this article divides trigonometric functions into five types: concept class,proposition class,exercise class,application class,and review class.It proposes high school trigonometric function teaching strategies based on the cultivation of mathematical abstract literacy for five types of courses.These strategies are based on the existing problems in the teaching of trigonometric functions,combined with the analysis of the teaching materials of trigonometric functions,and put forward under the guidance of relevant theories.Finally,the article chooses a lesson for instructional design and analyzes instructional design.The sixth part elaborates the research conclusions and makes reflections.