Research On The Development Of Mathematical Operational Ability Of Senior High School Students

Core literacy was proposed in the New Mathematics Curriculum Standards for senior high school(2017).Mathematical operational ability is one of the six core literacy,which is the basic ability students should possess in mathematics learning.For senior high school students,the first year is both a basic learning stage and an important phase for mathematical operational ability cultivation.Function,as one of the main courses throughout,plays a significant role in mathematics learning.However,it was found that there still exist some problems in mathematical operation for senior high school students in Grade one and they have difficulties in Function learning.Thus,in order to find out the current status and explore existing problems of senior high school students' mathematical operational ability and put forward solutions correspondingly,this study compiled test papers,questionnaires and interview based on the available literature.Accordingly,this research is carried out mainly in three stages.Firstly,in order to figure out the current status of the mathematical operational ability of senior high school students in Grade one,the author compiled the test and questionnaire,choosing Function as the examination content with the reference to the New Mathematics Curriculum Standards for senior high school and the mathematics exam outline for senior high school.Secondly,taking 480 students in grade one from four senior high schools as the research subjects,this paper adopted questionnaire survey and interview as the research methods.Lastly,the test and questionnaire were conducted and data were collected and analyzed.Besides,this study discussed why there exist problems in students' mathematical operational ability and offered some implications correspondingly.From the results of the test,it can be concluded that:(1)their performance in mathematical operational ability for senior high school students in Grade one is not great.And the grade of students distribute approximately normally,showing great differences between individuals;(2)students perform better in the application of formulas,rules,etc.than in the understanding of operational objects,the selection of operational methods,and the application of mathematical thoughts and methods;(3)there are significant differences in students' mathematical operational ability in different classes,and the mathematical operational ability of students in science is significantly higher than that of students in liberal arts;(4)there exist significant differences in the mathematical operational ability between boys and girls,and the mathematical operational ability of girls is significantly higher than that of boys.From the results of the questionnaire,we can get some guiding conclusions:(1)their academic performance in mathematical operational habits for senior high school students in Grade one is not much better than their learning and ideological awareness,and students don't have keen interest and positive attitudes towards mathematics.Meanwhile,teachers from liberal arts or sciences have little influence on students;(2)there are significant differences in students' interest and attitudes,basic knowledge and learning habits in different classes;(3)there exist significant differences in students' interest and attitudes,learning and ideological awareness between boys and girls;(4)it reaches significant level in teaching among schools at different levels.Through the analysis of the test and the questionnaire,it is found that there are some problems in mathematical operation for senior high school students in Grade one:(1)students' ability to understand operational objects needs to be improved;(2)students' ability to master and apply of basic knowledge needs to be strengthened;(3)students cannot be able to select proper operational methods;(4)students cannot well apply mathematics thoughts and methods.Based on the major findings above,this research offers the following countermeasures to improve students' mathematical operational ability:(1)teachers should try their best to improve students' cognitive structure and strengthen basic teaching;(2)they should pay attention to the analysis and application of mathematical thinking methods;(3)teachers should lay importance to the cultivation of non-intelligence factors,mainly including students' interest,will and operational habits;(4)teachers should update their teaching ideas and strengthen self-improvement.