A Study On The Design Of Primary School Mathematics Concept Teaching Based On APOS Theory

The teaching of mathematics concept plays an important role in primary school mathematics teaching.The understanding and mastering of mathematics concept is the key for students to learn mathematics well."Graphics and geometry" is one of the four parts of mathematics curriculum in primary school.There are many concepts related to graphics and geometry in primary school,which are rich in content and intuitive.The goal is to cultivate students' spatial concept and geometric intuitive.However,it is difficult for students to understand the nature of these concepts in the teaching process.APOS theory is a constructivism theory of mathematics concept learning.It believes that students' concept learning needs to go through four stages,each stage has its corresponding psychological construction state.Teachers can reasonably design teaching according to the psychological state of different stages of students' concept learning.According to the research needs,this paper mainly uses case analysis,text analysis and interview.In the study of new ideas and methods of teaching design of "graphics and geometry" concept based on APOS theory,some representative teaching cases of the author and other scholars are cited for analysis and research;before the study of teaching design,text analysis method is used for in-depth analysis of curriculum standards,corresponding teaching materials and other texts;interview method is used to understand the primary school mathematics teachers on the first line The cognition and understanding of mathematics concept teaching,and how to implement mathematics concept teaching,provide certain enlightenment for the teaching design research of this paper.First of all,this paper analyzes the feasibility of APS theory guiding primary school mathematics concept teaching from three aspects: curriculum concept,primary school mathematics concept learning process and primary school students' cognitive development,and expounds the significance of APS theory guiding primary school mathematics concept teaching from three aspects,and also summarizes thesubjectivity,process and integrity of APOS theory guiding primary school mathematics concept teaching Three principles.On this basis,the paper constructs the framework of APOS theory to guide primary school mathematics concept teaching as the theoretical basis of the full text.Then,based on the analysis of the characteristics of learners and the content of "graphics and geometry" teaching materials,and based on the theoretical framework of apos,this paper designs and studies the four aspects of "graphics and geometry" concept teaching goal,content,process and evaluation,and explores the general ideas and methods of "graphics and geometry" concept teaching design in primary schools under the guidance of APOS theory.Finally,guided by the general ideas and methods of "graphics and geometry" concept teaching design,two concepts of "graphics and geometry" concept are selected for teaching design,and a complete case is presented for analysis and thinking,and corresponding suggestions are given.