Research On The Status Quo Investigation And Cultivation Of Logical Reasoning Literacy Of Senior Two Students

Since the publication of "General High School Mathematics Curriculum Standards(2017 Edition)",the cultivation of core mathematics literacy in teaching has become a research hot spot.As a very rigorous subject,mathematics mainly relies on logical reasoning for its internal development.In the process of teaching,it is very important to cultivate students' logical reasoning literacy.Whether in the study of algebra or geometry,logical reasoning has a very important position.Based on the research results of domestic and foreign scholars on logical reasoning literacy,this paper divides logical reasoning literacy into three dimensions:level,category,and content,constructs an evaluation framework for logical reasoning literacy,and compiles corresponding test questions to measure the development status of high school students' logical reasoning literacy.The test paper used some high school students in Nanjing as the research object,analyzed the collected data using SPSS26.0,and reached the following conclusions:(1)The logical reasoning level of high school students is not ideal,and there are big differences.The plausible reasoning ability of students is slightly stronger than the deductive reasoning ability;(2)Most students can meet the requirements of level one,some students can meet the requirements of level two,most students do not meet the requirements of level three,and there are big differences between students;(3)Functions and pre-knowledge have a strong correlation,probability and statistics It has a strong correlation with preliminary knowledge and functions.It can be seen that high school students perform better in logical reasoning in the context of probability and statistics.The logical reasoning performance in the algebraic background is average,while the logical reasoning performance in the functional background is poor;(4)The logical reasoning performance of high school students in A and B is average,and the reasonable reasoning ability of school A is better than that of school B,but it is in deduction.There is not much difference in reasoning.Through independent sample t-test,it is found that there is no significant difference in logical reasoning performance between the two schools;(5)When students answer logical reasoning test questions,they mainly have insufficient basic knowledge,lack of observation ability,and lack of reasonable reasoning ability,poor deductive reasoning ability in the algebraic background,etc.Based on the analysis of the current situation of high school students' logical reasoning literacy,the following suggestions are put forward for teachers' teaching and student learning:(1)Deductive reasoning and sensible reasoning should be developed equally;(2)Pay attention to the differences in the level of students' logical reasoning literacy;(3)Follow Students' logical reasoning literacy under the background of geometry and algebra;(4)Develop well-founded reasoning habits;(5)Pay attention to the practice of reverse thinking;(6)Cultivate the ability of reflection and innovation.