Research On Conic Section Teaching Based On The Integration Of APOS Theory And Variant Teaching

With the deepening of the new curriculum reform,more and more mathematics educators focus on how to awaken students' learning drive,how to guide students to actively reflect on and how to effectively improve the traditional teaching model to meet the needs of the new curriculum reform.Therefore,it is urgent to explore teaching theory and promote the reform and development of mathematics classroom.Variation teaching is a teaching method widely used by Chinese teachers.APOS learning theory is put forward in the process of studying the concept of mathematics,and has strong characteristics of mathematics subjects.In recent years,proposition teaching and exercise teaching based on APOS theory have also emerged.In this paper,the APOS learning theory studied by famous foreign scholars is integrated with the variation teaching widely used by domestic teachers,and take the conical curve as the carrier,so as to test whether the teaching mode of the integration of the two theories can effectively improve the practical teaching.Based on this,this study intends to explore the following issues:1.Based on the necessity and feasibility of the integration of APOS theory and variable teaching,and think about how to find suitable and specific teaching models to guide practical teaching?2.After exploring the teaching mode based on the integration of the two theories,and think about how to design the specific conical curve teaching scheme?3.Can conical curve-variable teaching based on APOS theory effectively improve the practical teaching effect?This paper uses literature research method,teaching experiment method,case analysis method and investigation and research method to study the above-mentioned problems,the research results are mainly divided into the following three parts:1.By analyzing the research results on APOS theory and variable teaching at home and abroad,based on the duality of mathematical concepts,get the necessity and feasibility of the integration of APOS theory and variable teaching,and on this basis,according to the different content and form of the teaching,the three teaching modes of concept course,proposition course and exercise course based on the integration of APOS theory and variable teaching are explored respectively.2.Through the interview,we get the existing problems in the present conical curve teaching,and on this basis,apply the teaching model based on theoretical integration to the experimental class,and carry out specific case analysis and teaching reflection,and get the teaching suggestions under the guidance of this model.3.Through the analysis of teaching experimental results,it can be found that the integration of APOS theory and variable teaching is of great significance,that is,the teaching model based on theoretical integration can help improve students' academic performance,at the same time,it has a positive effect on the cultivation of students' learning interest and deep learning habits,and it can optimize the classroom teaching process,so that students have a meaningful construction of mathematics knowledge.In summary,the research of this paper on the one hand explains the necessity and feasibility of the integration of APOS theory and variable teaching,on the other hand,it also verifies the effectiveness of conical curve-variable teaching based on APOS theory.