Investigation And Research On The Current Situation Of Planar Vector Teaching Based On The "Double Principle" Of Mathematics Teaching

The Mathematics Curriculum Standards for ordinary high Schools(2017 edition,2020 revision)stress that "teachers should actively explore diversified teaching methods that are conducive to promoting students’ learning and enhance effectiveness".As a bridge connecting geometry and algebra,the introduction of vector infuses new ideas and methods into high school mathematics and plays an important role in high school mathematics curriculum.But the existing research shows that the actual teaching effect of plane vector is not ideal,so it is necessary to improve the teaching of plane vector,and constantly explore and innovate teaching methods.The "double principle" of mathematics teaching proposed by Professor Tu Rongbao is conducive to guiding mathematics teaching research and improving classroom teaching efficiency.Based on this,this study takes the "double principle" of mathematics teaching as the theoretical basis,along the dual track of "correspondence between teaching and learning" and "correspondence between teaching and mathematics",investigates and analyzes the teaching status quo of plane vector from different angles,in order to explore the existing problems in teaching and improve teaching.Research questions:(1)What is the feasibility and necessity of the "double principle" of mathematics teaching to guide the research of planar vector teaching?(2)What is the teaching status of plane vector in high school?(3)How to carry out plane vector teaching based on the "double principle" of mathematics teaching?In order to study the above problems,literature analysis,classroom observation,interview and test survey are mainly used.Taking teachers and students of Grade One as the research object,Based on the four dimensions of "correspondence between teaching and learning"(including teaching objectives,teaching methods,teaching processes and teaching tools)and the six dimensions of "correspondence between teaching and mathematics"(including teaching content,teaching knowledge structure,teaching situation,teaching thinking methods,teaching research methods and teaching expression methods),the classroom observation record and interview outline are designed.Investigate and analyze the teaching status of plane vector and put forward teaching suggestions.The main conclusions of the study are as follows:(1)The classroom observation results show that,compared with young teachers,the teaching of senior teachers is more consistent with the "dual principle" of mathematics teaching.Under the dimension of "correspondence between teaching and learning",there is no significant gap between young teachers and experienced teachers,while under the dimension of "correspondence between teaching and mathematics",the performance of experienced teachers is obviously better than that of young teachers.The big gap is in the three dimensions of "content of teaching","knowledge structure of teaching" and "expression in teaching".(2)According to the interviews,teachers all recognize the importance and educational value of plane vector,but do not have a comprehensive understanding of the mathematical thought and method and the core quality of mathematics reflected in it;Teachers have different views on the difficulties of plane vector teaching;Teachers do not pay enough attention to teaching materials,curriculum standards and "Double Principle" of Mathematics Teaching.(3)The test results show that the students’ mastery level in plane vector learning is operation,concept and application module from high to low.To a certain extent,the more teachers’ teaching conforms to the "double principle" of mathematics teaching,the better their students’ performance.The results show that plane vector teaching has some problems in teaching objectives,teaching methods,teaching knowledge structure,teaching ideas and so on.Based on this,the following teaching suggestions are put forward:(1)In terms of teaching objectives,"teaching is determined by learning";(2)Teaching methods: equal dialogue,highlighting the subject status of students;(3)Teaching knowledge structure:pay attention to reflect the plane vector knowledge structure;(4)Teachers: improve mathematical literacy,improve teaching theory knowledge;(5)Teaching philosophy:the fundamental goal is to improve students’ mathematical ability and cultivate students’ healthy personality.In addition,this study also puts forward the teaching design principles of plane vector,and designs a teaching case of "the concept of plane vector" based on the principles,which provides a reference for front-line teachers’ teaching.