Investigation And Research On Mathematics Abstraction Level Of Senior High School Students

Mathematical abstraction literacy is defined in the Mathematical Curriculum Standard for General Senior High School(2017 edition).Mathematical abstraction literacy refers to the acquisition of mathematical object literacy through the abstraction of quantitative relations and spatial forms.Through the study of elementary and junior high school basic knowledge,high school students have mastered enough mathematical knowledge,the way of thinking and understanding needs to be changed,thinking mode from "visible" intuitive thinking to "invisible" Abstract thinking,rational knowledge will replace perceptual knowledge.However,due to the high school stage is facing the college entrance examination,the teaching tasks of various disciplines compared with primary and junior high school more and heavy.Especially in mathematics class,the teaching content is numerous and needs a lot of calculation.High school students only have been strengthened in calculating and solving problems.But most of the students will face more advanced mathematics courses in the future.It is not enough for the long-term development of the students to pay attention to the computational ability in the high school stage.So it is necessary to pay attention to the cultivation of high school students’ mathematical abstract thinking.This paper mainly studies the following questions: 1.Based on the level division of the abstract accomplishment in the core of mathematics,using the plane vector knowledge of senior high school as the carrier to compile test questions,according to the students’ answers to analyze the level of mathematical abstraction of students at this stage;2.According to the connotation of mathematical abstraction to students’ answers to specific points.Analyze and summarize the typical mistakes of students,find the key points of students’ mistakes;3.according to the situation of students’ mistakes and the core quality of mathematical abstraction definition put forward targeted teaching suggestions.Firstly,this paper uses the method of literature review to explain the relevant concepts involved in the article reasonably;secondly,it uses the method of questionnaire survey to do a questionnaire survey on the current level of mathematical abstraction of high school students,expecting to analyze the level of mathematical abstraction of high school students through theresults of the questionnaire,and finally through interviews.Communicate with front-line teachers and analyze the problems existing in the process of improving students’ mathematical abstract ability.According to the results of the survey,the author puts forward three strategies on how to improve students’ mathematical abstraction ability in the teaching process: 1.Adopting the "special-general-special" circular structure teaching;2.Paying attention to the correlation of various expressions of mathematical knowledge;3.Teaching in the form of progressive questions.There are still some shortcomings in this study,such as the experimental subjects are not representative enough to fully represent the actual level of ordinary high school students.Some of the conclusions are one-sided,for the cultivation of mathematical abstraction ability needs a long time of textual research,and in different disciplines are worth studying.