Research On The Status Quo And Influencing Factors Of Junior High School Students' Mathematical Logic Reasoning Ability

Mathematics has a strong logic,and logical reasoning ability is a very important mathematical ability in mathematics.With the explicit presentation of the core literacy of high school mathematics,the status of logical reasoning is becoming increasingly critical.The logical reasoning ability is an important indicator for understanding students' cognitive development,and it is also an essential ability for students.At present,most of the related researches are mainly high school students,and there are few studies on the status of logical reasoning ability of junior high school students.The research on its influencing factors and action paths is still to be explored.The identified research questions mainly include two:(1)What is the status of mathematical logic reasoning ability of junior high school students? What is the status of each reasoning dimension? Are there significant differences in the gender dimension?(2)What are the factors that affect the junior middle school students' logical reasoning ability? What is the relationship between these influencing factors,and how do they affect the logical reasoning ability of junior high school students?The research is based on the theory of cognitive development stage theory.The literature research method is used to comb the existing research on logical reasoning ability,and it is adapted to obtain the "Middle School Students' Mathematical Logic Reasoning Ability Test Questions" and "Mathematical Logic Reasoning Ability Influencing Factor Questionnaire ".To ensure the reliability of the test results,the reliability and validity of the questionnaires were tested.The internal consistency coefficients of the two questionnaires were 0.708 and 0.925,both of which had high reliability and good structural validity.The study selected students in the second and third grades of Tianjin L School as subjects,using questionnaire surveys and interviews,through questionnaire tests and teacher interviews on the logical reasoning ability of junior high school students and their influencing factors.Research was started on the aspect,and finally the above investigation results were used as the basis to analyze the path of influencing factors of logical reasoning ability to provide effective suggestions for improving the level of logical reasoning of junior high school students.Research conclusions:(1)The overall level of logical reasoning ability of junior high school students in Tianjin L School is at a medium level.There is still a lack of understanding of plausible reasoning and deductive reasoning,especially in the context of plausible reasoning,and in related contexts It is found that the ability of mathematical problems is weak,and the ability to understand mathematical propositions and solve complex problems in the relevant mathematical propositions is relatively weak.(2)Junior high school boys are slightly higher than girls in terms of simple reasoning,selective reasoning,hypothetical reasoning,propositional calculus,and analogical reasoning.Girls have slightly higher scores than boys in the inductive reasoning dimension.And after the independent t test,the junior high school students' simple reasoning,selective reasoning,hypothetical reasoning,propositional calculus and analogy reasoning ability levels have no significant differences in gender.Most previous studies have shown that the logical reasoning level of boys is higher than that of girls.(3)Mathematics learning strategies,mathematics cognitive structure,learning motivation factors,and teacher teaching strategies of junior high school students all have a direct impact on their logical reasoning ability.Among them,mathematics learning strategies have the greatest effect,with an effect value of 0.354,followed by mathematics The effect value of cognitive structure is 0.205,the effect value of teacher teaching strategies is 0.133,and the effect of motivation factors is the smallest,0.087.Research enlightenment:(1)Strengthen the training of students' mathematics language and cultivate mathematics thinking habits;(2)Improve students' sensible reasoning ability,focus on improving male students' inductive reasoning ability;(3)Guide students to conduct variant training and cultivate logic Thinking ability;(4)Carry out appropriate logical training for students in combination with life situations;(5)Develop students 'mathematical cognitive structure and form a knowledge network;(6)Use inquirybased teaching methods to stimulate students' interest in proof questions.