Understanding And Application Of Diagonal In Junior Middle School Students

Angle knowledge is a part of the geometry curriculum in junior middle school,geometry course is an important part of mathematics course.The relevant application of angle knowledge examines the degree of students ’ learning and mastery,and occupies a certain amount in the examination content.Based on the Van Hiele theory,and referring to Bo Jiansheng,Forster and other domestic and foreign experts and scholars on the "Fan Hill model for the positioning of the level of students ’ geometric activities" and Fan Hill each level of thinking specific detailed indicators to determine the middle school teaching material angle knowledge from low to high embodiment of the Van Hiele 4 levels of thinking level.Then the corresponding level test volume was developed and 220 students were surveyed.Finally,according to the problems in the test,the interview questionnaire was designed to interview the teachers,and finally the analysis and summary of the junior high school students diagonal understanding and application of how to achieve the geometric thinking level and male and female students diagonal understanding and application whether there are differences in the answer,For students diagonal learning and teacher’s teaching to put forward effective suggestions.Main conclusions of the study:(1)Junior high school students in the angle understanding and application of thelevel of thinking,almost all can reach the level of Van Hiele geometry thinking 1,about 80% of the student reached the understanding and application geometric thinking level 2;about 40% of the students can reach the understanding and application geometric thinking level 3.And the students who can reach a level of 4 are few.(2)In the understanding of the concept of angle,from different angle situations to analyze similarities and differences,most students can from the angle of the dynamic and static definition,to hold the angle of the attribute.There is no significant difference between boys and girls.From the data on the concept of no answer angle,there are more boys than girls,and there are significant differences between boys and girls.The concept of the angle given by the boys and girls has no obvious difference,and it gives the important words in the angle concept,whether it is static concept or dynamic concept.(3)In the application of angle,the students ’ logical thinking level and the integration ability of knowledge are examined,from the test statistics,there is no significant difference between male and female.