Exploration On Influencing Factors In The Process Of High School Students Using Vectors To Solve Problems

In this paper,the main problem is Analysis of Influencing Factors in the Process of High School Students Using Vectors to Solve Problems.Here"problem" mainly refers to conventional issues, different from non-conventional question.Then,in this paper,"to solve the problem" mainly refers to solve routine problems,which is often called problem solving.Vector is a newly added part in the new teaching material~1,which has a dual character of algebra and geometry and particular value.The relationship between the vector and other mathematic contents in secondary high school is closely.It can be used as a "common method" in solving some mathematic problems.Under the background of the new elementary education reform,we should learn and master the factors which influences students using vectors to solve problems.It not only has realistic value,but also has theoretical value to current teaching and learning.In this study,document analysis,questionnaire survey and semi-structured interview were conducted to explore factors which would influece students when they use vectors to solve problems.solve the problem of the impact of factors preliminary attributed to the following four areas~2: knowledge,skills,experience and non-intelligence.Through this research,draws following conclusion:the knowledge and experience of students, the way of students assimilate knowledge,the ways of the textbooks present the knowledge of the vector.The factor of technical abilities mostly includes disassembling vectors,especially the use of geometrical modality of the vector——disassembling vectors into directed segments to solve problems,is a difficult part.The factor of experience includes combining the knowledge of the vector,linear operation and some terms together.When students use vectors to solve ecumenical problems which have specific targets but are restricted in process,those students with high achievements can use their experience more effectively.However,to the open-ended and explored problems,the difference is not obvious among the studnets with different mathematics achievements. The factor of non-intellect includes the changes of students' emotion and attitude in learning vector, which have brought by students' cognitive difficulties to the vector's planar characters in solving problems.Vector is used as carrier in this study.Basing on it,this study explored the influencing factors when students use it to solve problems.Thereby,it can offer some help for teaching and learning vectors in secondary high school.