Investigation And Analysis Of High School Students' Level Of Mathematical Logic Reasoning Literacy

In the reform of mathematics education,the development of students' logical reasoning literacy has occupied a very important position,and with the continuous development of education,its connotation is constantly enriched.The development of mathematics and the construction of mathematical theory system are all based on the logic of reasoning.Under the new concept of core literacy,by studying the current situation of high school students' mathematical logic reasoning literacy,we can enrich the practice of educational theory.On the other hand,it can understand the differences of students' quality in different aspects,which will help cultivate students' core quality.This paper examines the students' mathematical logical reasoning accomplishment from the perspective of formal logic.On the basis of full reading of the literature,the paper designs a mathematical logic reasoning literacy test volume suitable for high school students.By randomly selecting high school students from a middle school in Guyuan,Ningxia Hui Autonomous Region to conduct tests,the following research conclusions are obtained:(1)The mathematical logic reasoning literacy of high school students is at a medium level.The students' reasonable reasoning is slightly higher than deductive reasoning.Among reasonable reasoning,inductive reasoning is slightly higher than analogical reasoning.In the deductive reasoning,the propositional calculus is slightly higher than the syllogism.(2)There is no significant difference in the mathematical logic reasoning literacy between the high school students and the second year students,while the high school students and the high school students.There is a significant difference in the mathematical logic reasoning literacy of students.There is no significant difference between the high school students and the second year students in the four aspects of syllogism,propositional calculus,analogical reasoning and inductive reasoning.There are significant differences in syllogism,propositional calculus and analogical reasoning between students in grade two and grade three,but no significant differences in inductive reasoning.(3)There is a significant difference in the mathematical logic reasoning literacy between boys and girls.Among them,there is no significant difference between male and female in analogical reasoning and inductive reasoning.There are significant differences between male and female in syllogism and propositional calculus.(4)There are significant differences in the mathematical logic reasoning literacy between liberal arts students and science students.There are also significant differences in inductive reasoning,analogical reasoning,syllogism and propositional calculus.(5)High school students with good overall scores have high quality of mathematical logic reasoning.Combined with the above conclusions and analysis,several teaching suggestions are put forward:(1)Pay attention to the students' shortcomings,"check the gaps".(2)Grasp the critical period of training.(3)Pay attention to the individual differences of students and teach students in accordance with their aptitude.(4)Based on the normal state,cultivate students' logical reasoning literacy in the nuances.