The Teaching Research On Concept Of Solid Geometry In The Theory Of APOS

The study of mathematical concepts occupies a central position in the mathematical education.Mathematical reasoning and the proof of mathematics should be based on mathematical concepts.Therefore,students’ understanding of mathematical concepts directly affects the effect of mathematical learning.With the deepening of basic education reform,experts in the education realm have proposed that teachers should cultivate students’mathematical core in mathematical classrooms.High school dimensional geometry concept is rich in connotation,but in order to truly understand the concept of dimensional geometry,one is also required to utilize space imagination,thence,students often see learning the concept of dimensional geometry as a huge trial.As a teacher,we should find a scientific teaching theory to guide the teaching of the concept of solid geometry.This essay foremost analyzes the connotation of the four stages in APOS theory.Through researching relevant reference documents both domestic and abroad,the author discovered that the APOS theory,proposed by Durbinsky,reveals that students learn the cognitive law of mathematical concepts and which also enables the guidance of exceptional teaching of mathematical concepts.In addition,many domestic and foreign experts and scholars are committed to the alliance between mathematical concept teaching and the APOS theory.After conducting questionnaire survey and interviews with teachers,which is for the purpose of understanding the existing state of student learning in dimensional geometry and to assist teachers in teaching dimensional geometric concept of specific situations,and being used as a teaching basis for the design of dimensional geometric concept.Hereafter,under the guidance of the APOS theory,an elaboration of the five aspects which includes the teaching design of the dimensional geometric concept from the pre-teaching.Finally,a demonstration of two specific teaching cases serves as an illustration for the dimensional geometric concept of teaching design logic and methods under the APOS theory and enforcing the implementation of both cases in the actual teaching to occur.Through the research,the author thinks that the research of the three-dimensional geometry teaching under the APOS theory is not only in line with the requirements of the basic education reform,but also can break through the cognitive obstacles of the students to learn the concept of three-dimensional geometry.In this paper,the author hopes to provide some reference and ideas for the teaching of the concept of three-dimensional geometry through the study of the teaching of the concept of the lower dimensional geometry under the guidance of the APOS theory.