Vector Teaching Under The Constructivist View Of Learning Transfer

Vector teaching developed in the late19th century and the early20th century, vector has "algebra" and "geometry" dual natures, which can solve a lot of questions, such as inequality, analytic geometry, plane geometry,solid geometry and trigonometry problems,the nature of the vector has been widely used in mathematics.This passage mainly studies the vector teaching which based on the constructivist view of learning transfer, the first part is the introduction part; The second part is the theoretical basis—onstructive views of transfer of learning, including the content of the migration of constructivism learning theory, the mechanism and their ways of teaching; The third part mainly analyzes the vector questionnaire, which analysis the existing problems of the students in the learning vector of the process, and the suggestion or opinions of teachers in teaching vector; The fourth part shows the vector of teaching strategy under the constructivist view of learning transfer;The fifth part introduces vector teaching design case under the constructivist view of learning transfer, as well as the learning transfer of plane vector and space vector; the sixth part is conclusion and some prospects to the teaching of vector, the innovation and the weaknesses of this paper.Vector can not only reflect the property of the number of operation, but also has the shape of intuitive features, it is the bridge and the link, which can solve many problems in high school mathematics, and has wide applicability, so, this thesis mainly studies the content which is: in the high school mathematics curriculum, with the aid of transfer of learning and theory of constructivism, teachers how to profess vector knowledge better, students how to apply vector knowledge better, in the process of teaching students, how to improve the understanding of the concept, deepen the understanding, and the vector should adopt what kind of teaching strategy, to interpret the dual identity of vector geometry and algebra better, besides, through the questionnaire survey conducted by the students and teachers, to understand high school students learning condition of vector and the teachers’ teaching situation of vector.