Investigation And Research On The Current Situation Of Senior Students’ Mathematical Abstraction Accomplishment

This paper takes the concept of high school mathematics as the carrier,and evaluates the mathematics abstract accomplishment of the first year of high school students.Research methods are mainly reading literature and questionnaire survey.First,referring to the PISA evaluation method,based on related theories,this paper is trying to design the evaluation tool of high school students’ mathematical ion,and divide the mathematics abstract accomplishment of high school students into four levels.Level one:Operation Phase,Level two:Essence Phase,Level three:Object Phase,Level four:Comprehensive Phase.On the basis of previous research,we are plan to select fresh students from a high school as our research object,and investigate students’ current situation of mathematical abstract accomplishment.Through the investigation and study,the following conclusions are obtained:(1)The overall level of mathematical abstraction of fresh students is poor.(2)The performance of the students between the levels of mathematical abstraction is not necessarily linked:it is not guaranteed that students can effectively abstract the nature of concept even if a high level of perceptual knowledge;it is possible that the existing knowledge of the nature is not abstracted by students,but the consequence of mechanical memory.(3)In the process of math teaching,inexperienced teacher tends to pay more attention to students’ accumulation of perceptual experience;experienced teacher would like to pay more attention to contact new concept and existing knowledge to help students to build knowledge network.At last,according to the conclusions of the survey,this paper puts forward some suggestions for teaching on how to cultivate students’ mathematics abstract accomplishment from three aspects:new teaching class,practice class and review class.