An Investigation And Analysis Of The Current Situation Of Plane Vector Learning Among First-year High School Students

Plane vector is one of the most important contents in senior high school mathematics curriculum,and it is the basis of students' subsequent learning of geometry and algebra.Therefore,students' learning of plane vector will affect their future mathematics learning.The research on the current situation of plane vector learning can not only help students deeply understand the essential attributes of plane vector knowledge,but also form a complete mathematical cognitive structure,This study focuses on the plane vector learning of senior one students.Combined with APOS theory,the plane vector learning of senior one students is divided into four stages,namely activity stage,process stage,object stage and schema stage.Firstly,through the study of the existing literature and related theories,combined with the requirements of the new curriculum standard(2017 Edition),this paper sets the following research questions: 1.What is the current situation of plane vector learning of senior one students;2.What are the factors that affect Senior One Students' learning plane vector;3.According to the current situation of high school students' plane vector learning,what effective strategies can be adopted.Secondly,according to the "standard" and college entrance examination requirements for plane vector,the author compiled plane vector learning test paper and plane vector learning questionnaire,and tested 730 high school students in M middle school of L County in Guangdong Province.The survey found that:1.On the whole,83.84% of the students' plane vector learning level reached the process stage,64.38% reached the object stage,and 35.21% reached the schema stage.It shows that most of the senior one students' plane vector learning status is in the process stage,some can develop to the object stage,and only a few can develop to the schema stage,It shows that students have some difficulties in learning plane vector from lower level to higher level.Generally speaking,the situation of plane vector learning of senior one students in our school is not ideal.2.There is no significant difference between boys and girls in plane vector learning,but girls' level variance is larger,boys' level variance is more average,boys' plane vector learning is better,boys' learning attitude to plane vector content is more positive.3.Among classes,there are significant differences in activity stage,process stage,object stage and schema stage,which indicates that there are significant differences in plane vector learning among classes.4.Compared with the history class,the physics class students' plane vector learning situation is better.In the object stage and schema stage of plane vector learning,the physics class students are better than the history class students.In addition,the physics class students' learning attitude towards plane vector content is more positive,and their emotional identity is also higher.Finally,combined with student interviews and teacher interviews,we further analyze the main problems of students in plane vector learning,and find out the factors that affect students' learning plane vector.Based on the above research conclusions,this paper puts forward corresponding suggestions for high school teachers' teaching and students' learning.