Practical Research On The Cultivation Of Junior High School Students' Logical Reasoning Ability Based On Mathematical Core Literacy

Logical reasoning ability has always been an important field of mathematics education research.The research on the cultivation of junior high school students' logical reasoning ability has theoretical value and practical significance for the implementation of the mathematical core literacy in the compulsory education stage.At present,the national level has launched the specific content of senior high school mathematics core literacy,while the constructions of the theoretical system of compulsory education stage mathematics core literacy,college students' mathematics core literacy and citizens' mathematics core literacy are still blank.It is impossible for students to start to cultivate mathematics core literacy until senior high school,and it is also impossible that they do not need to develop mathematics core literacy after senior high school.Nowadays,some scholars have begun to pay attention to the core literacy of mathematics in primary school,but the cultivation of the core literacy of mathematics in junior high school still lacks attention,which is still in the initial stage of theoretical and practical research.These objective conditions undoubtedly bring great confusion to the front-line mathematics teachers.In this paper,the author analyzes the current situations and influencing factors of junior high school students' mathematical logic reasoning ability through practical research and questionnaires,explores the methods of cultivating junior high school students' mathematical logic reasoning ability through teaching practice,attempts to build the framework of cultivating junior high school students' mathematical logic reasoning ability,summarizes practical cases,and makes the cultivation of junior high school students' mathematical logic reasoning ability concrete,systematic and practical.Based on Piaget's cognitive development theory and constructivism theory,the author of this paper reviews the existing conclusions of the research on mathematics literacy,core literacy,mathematics core literacy and mathematical logical reasoning ability in domestic and foreign literature,and compiles the teachers' questionnaire,students' questionnaire and other test questions on the current situations of junior high school students' mathematical logical reasoning ability cultivation.Using the software such as Spss20 and Excel2003,the author analyzes the questionnaire and test data,and summarizes the current situations and influencing factors of the junior high school students' mathematical logical reasoning ability.Based on these above,the author puts forward the training strategies for cultivation of junior high school students' mathematical logic reasoning ability,and sets up a controlled experiment to test the effectiveness of the training strategies,to improve the training strategies and promote the research results.The conclusion of this paper is that junior high school students' mathematical logic reasoning ability has developed rapidly and improved greatly in the three years,which is in the middle level as a whole,but it is phased and unbalanced.Among them,the change of disjunctive reasoning,propositional calculus and hypothetical reasoning is big,the change of plausible reasoning between Grade 7 and 8 is big and the change between Grade 8 and 9is not obvious,especially the change of propositional calculus is getting bigger.From the perspective of gender,there are significant differences between boys and girls in simple reasoning,alternative reasoning and propositional calculus.There is no significant difference between boys and girls in the total score of factors influencing the cultivation of mathematical logic reasoning ability,and there is no significant difference in the mean and variance of each sub dimension of factors influencing the cultivation of mathematical logic reasoning ability.The main factors affecting the logical reasoning ability of junior high school students in the same Grade are mathematics knowledge system,mathematics learning strategy,mathematics teaching strategy,mathematics self-confidence,and communication between teachers and students.The author of this paper puts forward the teaching strategies for the cultivation of junior high school students' mathematical logical reasoning ability: students learn first,build their own mathematical knowledge system;new knowledge exploration,pay attention to the formation of mathematical knowledge exploration,accumulate logical reasoning experiences,optimize mathematical cognitive structure;variant application,guide students' deep learning,cultivate high-level mathematical thinking;practice display and review consolidation,create presentation opportunities,cultivate students' ability of mathematical language expression,stimulate interest in mathematics learning.