A Practical Study On The Cultivation Of Students' Logic Reasoning Ability Based On Core Competencies In Junior High School

Mathematical core Competencies is one of the hot research topics in the field of mathematics education.Which has practical significance and practical value in clarifying the nature of mathematics education and deepening the reform of mathematics curriculum in basic education.The six kinds of core mathematical competencies research proposed so far are mathematical abstraction,mathematical reasoning,mathematical modeling,mathematical operations,intuitive imagination and data analysis.Logical reasoning,as a major constituent element of mathematics core accomplishment,plays an important role in influencing the students' ability of mathematics thinking.This paper selects the mathematical reasoning accomplishment among them and conducts questionnaire surveys and experimental studies on related issues in the dissertation.The question is to clarify the related connotations and constituent elements of logical reasoning competencies;Clarify the current state of junior students' quality of logical reasoning and the current situation of teachers' teaching,in order to lay the foundation for further research on logical reasoning accomplishment;put forward the teaching strategies of logical reasoning ability cultivation so as to promote students' logical reasoning ability in teaching practice.literature research,questionnaire as well as experimental research will be adopted as the main methods with which the research will be done.By learning from the achievements of core accomplishment,mathematics core literacy,and mathematical reasoning at home and abroad and combining with the existing internationally recognized PISA test and “Ryven Standard Reasoning Test”logical inference scale,we design the target questionnaires on mathematical logic reasoning about students and teachers,as well as mathematics logical reasoning ability and test questions for junior high school students,and a comparative experiment was set up to test the effectiveness of teaching strategies through real-time teaching.This study uses SPSS19.0 and Excel2003 software to analyze thequestionnaires and test data to analyze the status quo of junior high school students quantitatively in mathematics logic reasoning ability and the status quo of junior high school mathematics teachers in mathematics reasoning teaching.The research conclusions are that the current state of mathematics logical reasoning ability of junior high school students is not optimistic;The ability of mathematics logical reasoning of junior high school students is significantly different from the grade level.Male students are slightly better than girls in gender differences,and there is no significant difference as a whole.Teachers can effectively improve mathematics logic reasoning through the rational use of teaching strategies ability.This study proposes five teaching strategies for improving the students' ability of logical reasoning: to make good use of life materials,to make reasonable inferences and conjectures,to attach importance to basic concept teaching,to train students' logical thinking and language,and to adapt students' psychological mechanisms.