Research On Vector Cognitive Level Of Sophomore In High School Based On The SOLO Taxonomy Theory

In high school mathematics,vector is the key learning content for students,which runs through various modules of mathematics and contains rich mathematical thinking methods.Therefore,it is of great significance to study the students’ cognition of vectors.This study focuses on the vector cognition of high school student and aims to solve two problems:(1)What is the level of the vector cognition among second year high school students under SOLO classification theory?(2)What are the typical problems of high school students in vector learning,and what are the teaching suggestions to further improve the vector cognitive level of students? In order to solve these problems,this study investigated and analyzed the vector cognitive level of 194 high school students through test volumes and interview surveys based on the SOLO classification theory.The study mainly obtained the following conclusions:1.Under the SOLO classification theory,second year high school students are mostly at the Relational level in their understanding of vectors.They are basically able to master the main content of vectors,organically connect multiple vector knowledge points,and can use knowledge of vectors to solve certain mathematical problems.However,students generally score lower in the questions belonging to the Relational level,and their vector cognition still needs to be improved.2.There is a significant correlation between the cognitive levels of two adjacent vectors,indicating that the cognitive development of students at the two adjacent levels is interrelated and mutually influencing.3.The main problems in student vector learning:(1)Students have insufficient understanding of the basic concepts of vectors;(2)Students have a weak grasp of basic vector operations;(3)The students’ thinking on vector problem-solving has solidified;(4)The habits of learning the vector are poor.4.In response to the above issues,this study put forward teaching suggestions:(1)Strengthen concept teaching and solidify the mathematical foundation;(2)Pay attention to arithmetic training and improve mathematical thinking;(3)Strengthen vector awareness and expand problem-solving ideas.(4)Emphasize understanding of learning and attach importance to summary.