Problem finding ability is one of the "four abilities" proposed in the 2017 edition of general high school mathematics curriculum standards.Cultivating problem finding ability can improve students' problem awareness and innovation consciousness at the same time.Traditional mathematics teaching pays less attention to cultivating students' ability to find problems and pays more attention to their ability to solve problems.Based on the existing research,this study analyzes the current situation of students' ability to find mathematical problems through investigation,finds out the existing problems and causes of students' ability to find mathematical problems,and proposes some feasible training strategies.Through literature method,survey method,observation method by means of questionnaire to test and the two research tools a middle school student in LanZhou city were investigated,to understand the current situation of high school students found that mathematics question ability,the following conclusions:(1)from the general high school students found that math ability are relatively good,but students find problems ability strong or weak dispersion degree is bigger,ability strong ability of students and the gap between the weaker students;(2)students have a better ability to find problems through intuitive imagination.It is easier for students to find mathematical problems when intuitive graphs are given.In the absence of intuitive graphs,it is more valuable for students to accurately draw intuitive graphs.Students' ability to find problems through logical reasoning is weaker than that through intuitive imagination.Students prefer logical reasoning in reasoning and deductive reasoning.Compared with the first two,students' ability to find problems through mathematical modeling is the weakest.Students' ability to find mathematical problems in the real world is weak,but they are interested in mathematical modeling to a certain extent.(3)students in key classes found that their mathematical problem ability was significantly higher than that of students in ordinary classes,and there was a significant difference between the two.Boys and girls are equally capable of discovering math problems,and there is no significant difference between the two.By analyzing students' test papers and classroom observation results,it is concluded that high school students have the following problems in discovering math problems: students' basic knowledge is weak and they cannot find the essence of the problems;Students' weak ability of understanding and transformation of mathematicallanguage leads to logical chaos.Students are lack of problem awareness,mathematical modeling interest is not high,do not want to in-depth exploration,thinking;The main reasons for these problems are as follows: teachers' insufficient understanding of cultivating students' ability to find mathematical problems;The teacher trains the student to discover the mathematics question ability the strategy is single;Teachers' use of information technology is not effective.Finally,the following strategies are proposed to cultivate the ability of senior high school students to find mathematical problems.To strengthen students' understanding and transformation of mathematical language and improve their logical reasoning ability;Improve teachers' professional quality and cultivate students' problem awareness;Create a reasonable situation,cultivate students' interest in mathematical modeling;Use information technology reasonably and let students explore and discover problems by themselves. |