Research On The Cognitive Level Of Senior High School Students Learning "Space Vector And Solid Geometry"

"Space Vector and Solid Geometry" is an important content of high school mathematics,which can effectively cultivate students’ core literacy such as intuitive imagination and mathematical operations.At present,there is little research on the cognitive level of "space vector and solid geometry",while SOLO classification theory focuses on the learning process of students.Therefore,this article uses SOLO classification theory as the basis,using test methods and interview methods as research methods,to conduct research on the cognitive level of high school students in learning "space vector and solid geometry" from the following two issues:(1)Using SOLO classification theory,the cognitive level of high school students in learning "space vector and solid geometry" is examined;(2)This paper analyzes the main factors that affect senior high school students’ cognitive level of "space vector and solid geometry".Through the research,this paper draws the following conclusions:1.High school students’ cognitive level of learning "space vectors and solid geometry" is mainly at the level of associative structure.Students can find multiple geometric elements in familiar graphics,algebraic geometric problems through topic clues,and discover the connection between solid geometry and space vectors,thereby using vector methods to solve geometric problems,but they cannot solve more abstract problems.2.Through the analysis of the correlation between adjacent cognitive levels,it is found that in the multi-point structure level,correlation structure level and extended structure level,the higher the two adjacent levels are,the stronger the correlation is,indicating that teachers should step by step in teaching to improve students’ cognitive level step by step,and should not be eager to achieve success.3.The factors that affect the cognitive level of high school students in "space vector and solid geometry" are:(1)students’ learning methods;(2)teachers’ teaching ways;(3)teachers’ teaching concepts.In response to the above conclusions,this article provides teaching suggestions to improve senior high school students’ cognitive level of "space vector and solid geometry",and based on this,provides a teaching design for "Basic Theorem of Space Vector",hoping to bring inspiration and help to teachers’ teaching.