Analysis Of The Influence Of Logical Thinking Ability On The Ability Of Junior High School Students To Pose Mathematical Problems

The purpose of education is to make students learn to innovate on the basis of inheritance.The basic task of mathematics education is to cultivate students' innovative consciousness.The cultivation of problem posing ability is helpful to the improvement of students' innovation ability.Students' ability to find problems and ask questions is the basis of innovation.The improvement of logical thinking ability is an important prerequisite for the cultivation of students' innovation ability.From the logical thinking level of junior high school students,this paper discusses the influence of logical thinking ability on junior high school students' mathematical problem posing ability.Through literature analysis,the dimensions of logical thinking ability and mathematical problem posing ability are determined,and the evaluation standards of logical thinking ability and mathematical problem posing ability are divided.On this basis,the test paper is compiled.The data were collected by the method of test and survey,and descriptive statistics,hypothesis test,correlation analysis and regression analysis were carried out by spss25.0:(1)The logical thinking ability of junior high school students in Duyun City is at the middle level,and the ability of putting forward mathematical problems is at the middle level;(2)Duyun junior high school students' flexibility and observation ability,profundity and analysis ability,creative thinking ability,exploratory and reasoning ability,comparison and analogy ability are in the low level,and comprehensive ability,abstract and generalization ability are in the middle level;(3)There is a significant correlation between logical thinking ability and mathematical problem posing ability;(4)There is a significant correlation between logical thinking ability and the number and types of mathematical questions and the ability of innovative questions;(5)Logical thinking ability has an impact on students' mathematical problem posing ability,and there is a linear correlation(positive correlation)between them.From the regression analysis,the stronger the logical thinking ability,the stronger the students' mathematical problem posing ability.(6)From the multiple regression analysis of each dimension of logical thinking ability and mathematical problem posing ability,we can see that there is a linear relationship between profundity and analytical ability,comprehensive ability,creative thinking ability,comparison and analogy ability and mathematical problem posing ability,which shows that the stronger the four logical thinking abilities of profundity and analytical ability,the stronger the students' mathematical problem posing ability.Based on the results of data analysis and interviews,teaching suggestions are put forward:(1)to cultivate creative thinking ability and raise innovative questions;(2)to cultivate comparative and analogical ability and increase the number of questions;(3)to cultivate deep and analytical ability and raise exploratory questions;(4)to cultivate comprehensive ability and increase the number of questions;(5)to cultivate flexible observation and overcome difficulties(6)to put forward problems in a task-based way and to improve the enthusiasm of putting forward problems.