Research On The Current Situation Of High School Students’ Understanding Of Function Concept In Qinghai Ethnic Areas Under APOS Theory Learning Quadratic Function

Function is the key content of high school mathematics.As one of the main lines of the course,the function knowledge almost runs through the learning of the entire high school mathematics.The in-depth understanding of the concept of function is the prerequisite for learning function content.However Students have various difficulties during their studies,so it is of great significance to explore more effective function concept teaching modes.In this study,the high school students in the Qinghai ethnic region are used as the research object,trying to optimize the concept teaching mode of the APOS theory,and analyze the APOS theory for guiding whether the concept teaching of the region can have a positive effect.This study is mainly divided into five sections,the first part summarizes the development process of APOS theory and function concept by combing the literature.In the second part,through the design and distribution of test papers,the current situation of high school students’ understanding of the concept of function in five ethnic areas of Qinghai Province was investigated.The third part analyzes the traditional function concept teaching mode,and designs the function concept teaching mode based on APOS theory.The fourth part is the comparative experimental study of the teaching mode of function concept and the traditional teaching mode under the guidance of APOS theory.The fifth part is summary and reflection,which reviews and summarizes the entire research process and points out the shortcomings in the research.The results show that:(1)The understanding of function concept of senior high school students in Qinghai ethnic areas is basically at the level of operation and procedure,only a few students can reach the level of object and schema;(2)The function concept teaching mode based on APOS theory can promote students’ understanding of function concept.Based on the actual situation of Qinghai minority areas,the author designs a new function concept teaching model,analyzes the specific implementation effects of this model through teaching practice,and understands the real evaluation of this model by front-line teachers in the form of interviews,providing practical reference cases for APOS theory to guide function concept teaching.