Research On The Teaching Of Straight Line Equations In High School Based On APOS Theory

Analytical geometry,also known as coordinate geometry or Cartesian geometry,based on Cartesian Cartesian coordinate system,has created a branch of geometry mathematics that uses algebraic methods to study geometric problems.In senior high school,the analytic geometry that students initially began to contact is studied on the plane.APOS theory is a constructivist theory of mathematical concept learning put forward by American educator Dubinski et al.In the process of constructive learning,it is emphasized that action and process are the important stages of introducing concepts and definitions,while Object and Scheme are the sublimation,understanding and Revelation of the results of the first two stages,enabling students to incorporate new mathematical concepts into their conceptual knowledge system and finally form psychological schemas.Through this study,we mainly want to solve two problems: one is how to design the concept teaching of linear equation based on APOS theory.The second is to think about how to make a reasonable transition between different stages of APOS theory.The main methods used in this paper are literature research,teaching demonstration and comparative research.In the early stage of the study,we can learn about the research status of this topic at home and abroad.Then through the design of teaching cases,do a good job of classroom recording and reflection.Feedback on teaching results is mainly based on examination results and questionnaires.In the course of the study,two parallel classes will be used for comparison,and the results will be analyzed by SPSS and EXCEL.Through the research,the author finds that the concept teaching of linear equation is very suitable for using APOS model.Through rational design of activity stage and process stage,students' initiative in learning can be stimulated.In the transition of each stage,it is very important for students to "discover" the process of "occurrence" of knowledge.Using this model in the conceptual teaching of linear equation is of great help to students' learning.