Research On The Differences In Understanding Levels Of Abstract Functions Of Students In Grade Twelve From The Perspective Of SOLO Classification Theory

Abstract function is a branch of function knowledge.Compared with concrete function,its abstraction is higher,symbolicity is stronger,and concealment is deeper,which makes students feel "unable to rely" on it,but in daily life,we A certain amount of abstract thinking ability is required;on the other hand,students’ abstract literacy ability is paid more attention in the mathematics college entrance examination.Abstract function is an important content for cultivating and investigating students’ abstract literacy ability.The author has consulted the national papers in recent years.In the mathematics college entrance examination questions,abstract functions are involved almost every year.The author chooses the problem of abstract functions for research,and analyzes the level of understanding of abstract functions and their differences in the third year of high school students.Based on the previous research results,the author analyzes the concept of abstract functions,the new curriculum standard and the requirements of the college entrance examination for abstract functions,the distribution of abstract functions in the textbook,and the common abstract functions based on the previous research results.At the same time,it also summarizes the concepts and levels of mathematics comprehension,and the evaluation tools of mathematics comprehension level.Based on the perspective of SOLO classification theory,this study compiled the function test papers and used the test method for macro analysis.At the same time,in order to better understand the understanding of abstract functions by senior students in more detail,the oral report method and the interview method were used.The detailed micro-analysis is carried out in a way that mainly focuses on the following questions:(1)Macroscopically analyze the level of understanding and differences of functions of 97 senior three science students;(2)Microscopically analyze 5 excellent students and 5 ordinary students What are the differences in the level of understanding of abstract functions within and between individuals;(3)Analyze the factors influencing the level of understanding of abstract functions by high school students;(4)Based on the differences in the level of understanding of abstract functions by high school students,find out effective promotion The teaching and learning strategies of abstract function understanding are more comprehensive and detailed than previous studies.This is also the innovation of this article.The research found that:(1)Generally speaking,the subjects’ understanding of functions is not optimistic,and students’ understanding of abstract functions is mainly at the level of multiple structures;(2)There are significant differences in the level of pre-structure,multiple structure and correlation structure among different classes,The single structure level difference is not significant,the pre-structure level,the single structure level and the multiple structure level between male and female students are significantly different,and the correlation structure level is not significant;(3)There are obvious differences in the understanding of abstract function knowledge points,and there are significant differences in the understanding of abstract functions.The level of understanding of nature is higher than the understanding of the comprehensive application of abstract functions,and the understanding of the comprehensive application of abstract functions is higher than the understanding of the three elements of abstract functions and their relationships;(4)Eugenics’understanding of abstract functions is higher than ordinary students.(5)The level of understanding of abstract expressions that are characterized by symbolic language and need to be further deduced is not high;(6)Mathematics reading comprehension needs to be improved.Finally,according to the research results,corresponding suggestions are put forward:strengthen the accumulation of basic knowledge of functions,pay attention to comprehensive teaching,pay attention to the understanding of mathematical symbols,encourage students to try more positively,and strengthen the cultivation of mathematical reading comprehension..