Research On The Teaching Of Function Properties Unit Based On Multivariate Representation Theor

As one of the four primary lines of high school mathematics curriculum,function is listed as the compulsory contents.The three basic properties of functions are closely related.The curriculum standards emphasize that the content of the subject of functions should be as a whole,based on the advantages of large unit teaching design,these three properties can be organized and studied together,so we can deepen our understanding of function concepts,grasp the main line of content,and use them flexibly in mathematical situations and solve problems.In this research,we adjust the learning sequence of the three properties of functions for the compulsory course in the People’s Education Edition A,and put the periodic learning ahead of the monotonicity and parity.At the same time,The content of periodicity has also changed accordingly.We conduct instructional design based on multi-representation theory instead of using trigonometric functions as a periodic learning model.This paper adopts literature research method,case analysis method,questionnaire survey method and interview method.It is concluded that the teaching of function properties based on the theory of multi-representation has a certain promotion effect for students to learn function properties.A test questionnaire is designed as the pre-test of this experiment to test the students’ mastery of function representation.Based on this theory and test results,we constructed the teaching model and designed the unit teaching,and applied them in teaching practice.After the teaching is implemented,the test paper is designed as a post-test based on the theory of multi-representation.A control class and an experimental class are set up.The results of the interview are used to verify that this teaching model has a positive effect on students’ learning of functional properties.Finally,several teaching methods are proposed for the unit teaching of functional properties.