A Study On The Concept Teaching Of Mathematics In Senior High School Based On The Integration Of APOS Theory And Variant Teaching

The Mathematics Curriculum Standard(2017)of General High School points out that "Mathematics teaching in senior high school is guided by the development of students' core accomplishment of mathematics subject,creating appropriate teaching situation,enlightening students to think and guiding students to grasp the essence of mathematics content." Function is the main line that runs through the high school mathematics curriculum.The concept of function is the most basic concept in modern mathematics concept,the foundation of students' mathematical cognition,the carrier of students' mathematical thinking activities,the most basic mathematical language and tool to describe the relationship and law of variables in the objective world,and plays an important role in solving practical problem aggregation.Chinese and foreign researchers,through different disciplines,are better defects,draw the essence of various theories,and integrate various theories in favor of students' mathematical cognition,so as to serve as the theoretical basis for guiding teaching design.For this reason,based on APOS theory and variant teaching,this paper tries to explore the common characteristics and connections of the two,and "condense" them into the mathematical concept teaching design.At the theoretical level,through the combing of domestic and foreign literature,this paper summarizes the achievements of domestic and foreign research on this subject,and defines the core concepts involved in this paper,analyzes the activity stage,process stage,object stage and schema stage of APOS theory,and the four processes of variant teaching,and integrates into four stages of mathematics concept teaching based on two theories.On the realistic demand and implementation significance of mathematics concept teaching in senior high school,this paper summarizes the teaching design strategy and teaching link setting strategy of high school mathematics concept variant teaching based on APOS theory through theoretical speculation and experience summary,and designs the corresponding concept teaching case.As for practice,the teaching design of basic elementary function concept variant teaching based on APOS theory is applied to the teaching practice by using the research method of "teaching experiment "," test investigation" and "case interview" to test its influence on students' learning results and teachers' teaching results.The results showed that the average scores of the post-test in the experimental group and the control class were 77.07 and 68.60,respectively.Compared with the control class,the mathematics scores of the students in the experimental class were significantly improved,and the independent samples of the post-test scores T the test sig=.On < one hand,the conceptual teaching model based on the integration of APOS theory and variant teaching theory can stimulate students' interest in learning and promote meaningful learning.On the other hand,it can provide some reference for teachers to design the teaching process and improve the reality.