Research On The Training Strategies Of High School Students' Mathematical Plausible Reasoning Ability

In our country's mathematics education work,"formal" deductive reasoning has occupied the main position,but the students' reasoning ability is not much attention.Although,in mathematics teaching syllabus,to cultivate and improve students' reasoning ability has been put on the agenda,but in actual operation,the teachers to cultivate students' plausible reasoning ability have not been paid enough attention to.Fifteen six year old high school is the key period of thinking development,the initial stage is the logical thinking ability of development,should be in the development of logical thinking ability,while let the plausible reasoning ability to cultivate and develop.Based on the above background,this paper has consulted a large number of literatures about plausible reasoning,In the second part,the paper summarizes the connotation,pattern,teaching and training of sympathetic reasoning,and defines the related concepts in the first chapter.Then,based on the relevant theories of support,using the method of questionnaire survey,conducted a survey of senior high school students in Henan Province,third middle school,to understand the current status of high school students' mathematical reasoning ability,and interviews of teachers,teachers' understanding of plausible reasoning teaching situation.Then,we find the problems in the current cultivation of plausible reasoning ability:(1)The accepted mathematics knowledge of senior high school students is outdated;(2)The development of plausible reasoning ability of senior high school students is unbalanced;(3)The teacher lacks the relevant theoretical knowledge of plausible reasoning;(4)The teacher treated the students in an incorrect way;(5)The process of the development of plausible reasoning is hindered by the fact that knowledge is less than ability.Through the analysis of the current situation of high school students' mathematical reasoning ability,this paper finds out the existing problems and puts forward the training strategies,The conclusions are as follows:(1)the plausible reasoning ability of senior high school students is weak and the development is notbalanced;(2)there are differences between the different subjects and different genders in the reasoning ability of high school students,and the reasoning ability of science students is better than that of liberal arts students;(3)it is feasible for teachers to make use of plausible reasoning teaching mode.After the study of the research on the ability of reasoning reasoning,Two suggestions are put forward to improve the students' ability of rational reasoning:(1)teachers should change their traditional educational ideas and try to use the teaching model of plausible reasoning;(2)the students should develop their ability of observation and reasoning in the subconscious learning.