Research On The Teaching Of In Plane Geometry Concept Based On APOS Theory In Junior High School

The understanding of mathematical concept is the foundation of learning mathematics.There are many rich plane geometry concepts in junior high school,it is difficult for students to understand in middle school stage,which becomes a difficult problem in daily teaching.By the profound influence of the traditional teaching mode,when teaching the concept,teachers also maintain that give definition of the concept,and then prove it in a selective way,which is not consistent with the purpose of the curriculum standards that let students understand the concept.If the teacher does not have a deep understanding on the status quo of students' understanding in the process of actual teaching and the level status,they can not achieve the reasonable teaching on the basis of understanding the current situation of students.So,it is particularly important to find a suitable theory on the concept teaching of plane geometry in junior middle school.This paper mainly use the method that combine the questionnaire,literature review and interview method,and select the second-year and third-year students in one junior high school as the research object,and investigate the junior high school students' geometry learning in the form of distribution questionnaires.The main contents of this study are:(1)Students ' understanding of the concept of plane geometry;(2)The actual teaching condition of the teacher in planar geometry,;(3)The analysis of the process of questionnaire.Then,from the perspective of constructivism-APOS theory,this paper analyzes the construction process of students ' geometrical concept learning combined with the results obtained from the questionnaire,and provides some enlightenment to the concept teaching of plane geometry in junior high school,and then expounds the connotation of APOS theory in the concept teaching of plane geometry in junior high school,and put forward the corresponding teaching principle,and achieve the teaching design of plane geometry concept in junior high school on the basis of APOS theory.The last 2 cases design displays the design thinking and ideas.Finally,I hope this study can help the junior high school teaching.