Investigation And Research On The Status Quo Of High School Students' Mathematical Abstraction Literacy

"Mathematics curriculum standard of senior high school(2017 Edition)" puts forward six mathematics core literacy with mathematics abstract as the first.Mathematical abstract plays an important role in the formation and application of mathematical knowledge,through which mathematical concepts,mathematical methods,mathematical models and higher mathematical cognitive structures can be obtained,it can be said that all the mathematical knowledge and relations are obtained as a result of mathematical abstract,so it is very important to cultivate and improve students' mathematical abstraction.The investigation and research on mathematics abstract literacy can understand the status of students' mathematics abstract literacy,put forward the pertinence training strategy,and promote the development of students' mathematics abstract literacy.In this study,the research methods used mainly include literature research method,interview method and test method.The research process is summarized by referring to the previous researches on mathematical abstract.On this basis,the evaluation framework and test paper of mathematical abstract are puted forward,discusses with relevant experts and front-line teachers,finally determines the evaluation framework and test paper.This paper tests the senior high school students in Duyun City,Guizhou Province,and uses IBM SPSS Statistics 24 to test the results through statistical analysis,the conclusions are as follows:(1)The level of mathematics abstract literacy of high school students in Duyun city is mainly focused on level 3,accounting for 53.5%,then level 2,accounting for23.28%,then level 4,accounting for 13.56%,the average scoring rate of the whole is62.96% The mathematics abstract literacy of senior high school students is in the middle level.(2)In the Structure dimension,there are quite a number of students who can not transform the situation problem into mathematical relationship and mathematical image,but most of them get high marks who can completely transform the situation problem into mathematical problem.In the cognitive dimension,some students do not understand the conditions and conclusions of the problem clearly,resulting in the construction of the corresponding relationship is not clear,the conclusion is incomplete;In the expression dimension,it is not a big problem to express mathematical relations and deduce process with mathematical language,but most students can not express clearly when they sum up and illustrate mathematical principles with examples.(3)In the content dimension,there are significant differences between the geometric and Algebraic content dimension and the functional dimension,and between the probability and the statistical dimension.There is no significant difference between the function content dimension and the probability content dimension and the statistical content dimension.(4)There are significant differences between arts students and science students in mathematical abstract literacy,and science students are significantly better than arts students.(5)There are significant differences in the mathematical abstract literacy of senior high school students at different levels.In view of the problems exposed by the students,the following suggestions are put forward:(1)Focus on developing students ' understanding of the nature of mathematics.(2)Strengthen the training of students on situational problems;(3)Strengthen the student's analogy,induction and other thinking methods,to train the student's creative thinking;(4)the main line of mathematics content and the connection between the main line should be paid attention;(5)Constructed a unified examination evaluation system;(6)Constructed the teaching mode of choosing courses and taking classes.