Research On The Cognitive Level Of Exponential Function In The Perspective Of SOLO Theory

As one of the teaching contents of high school function,exponential function plays a very important role in high school teaching.The Mathematics Curriculum Standard for Ordinary High School(2017 edition 2020 Revision)has comprehensive and clear requirements for the learning of exponential function.This study focuses on " What is the current status of the cognitive level of the exponential function of high school students?" " What are the factors that affect the cognitive level of the exponential function?" " What are the strategies to improve the cognitive level of the exponential function of high school students?" Three questions were studied,and SOLO classification theory was used to investigate the cognitive level of exponential function.This study randomly selected 366 students as a research object,using literature method,test,questionnaire survey and interview method,using SOLO classification theory of index and index operation,index function concept,index function image and properties,index function four dimensions analyzes the high students index function cognitive level,and from the students themselves and teachers teaching situation to explore the factors affecting the high students index function cognitive level.Through the analysis of the research results,the following conclusions are drawn on the current situation of cognitive level of higher index function:(1)the cognitive level of index and index operation is at the multi-point structure level;(2)the cognition of the concept of index function is at the multi-point structure level;(3)the image of index function is at the level of correlation structure level;(4)the cognitive level of index function is at the former structure level.In terms of the difference between schools and male and female students,the conclusions are as follows:(1)the difference between schools is significant;(2)the difference between male and female students is not significant.Conclusion on the cognitive factors of exponential function:(1)lack of declarative knowledge about exponential function;(2)students’ skill learning needs to be improved;(3)students are unable to skillfully use the mathematical thinking methods contained in exponential function;(4)lack of learning interest factors in the learning of exponential function;(5)students do not have a systematic understanding of the knowledge of exponential function.Finally,in view of the current situation and influencing factors of the cognitive level of exponential function,this study proposes the following strategies for the learning of exponential function and teachers: student level strategies:(1)learn to connect with the realistic model to improve the learning exponential of exponential function;(2)consolidate the understanding and mastery of knowledge and form a systematic knowledge system;(3)gradually improve skill learning and improve the comprehensive application ability of exponential function.Teacher-level strategies:(1)Learn to connect with the reality model to improve the interest in learning exponential functions;(2)make appropriate use of information technology to intuitively perceive the change of exponential function image;(3)pay attention to the penetration of thinking methods and improve students ’application ability;(4)improve students’ evaluation system and better stratified teaching for students.