Investigation And Research On The Mathematical Plausible Reasoning Ability Of Junior Middle School Students

The research of mathematical reasoning ability has gradually become a hot topic in today' s society.With the progress of mathematics curriculum reform,the ability of mathematical reasoning has gradually been upgraded to the same position as deductive reasoning.The so-called sensible reasoning is based on the existing cultural level,knowledge level,cognitive experience and other foundations.In the context and process,the six dimensions of reasonable reasoning are used induction,analogy,observation and experiment,generalization,specialization,Imagine the process of reasoning that is objectively and almost in the true event.By studying this topic,we can not only provide timely feedback on the teaching problems related to reasonable reasoning in the first-line teaching,but also effectively implement the”four basics”proposed by the new curriculum standards,which will have a profound impact on the overall development of students.This paper is mainly based on the four influencing factors(grade,gender,ethnicity,school)and the six dimensions of junior high school students ' mathematical reasoning ability(induction,analogy,observation and experiment,generalization,specialization,imagination).The influence of junior high school students' ability of reasoning reasoning,the paper uses literature method to find the relevant characteristics of reasonable reasoning,and based on Polya mathematics education theory,Freudenthal' s re-creation education thought,and Bruner' s Discovery learning theory investigates the six dimensions of sensible reasoning.Three schools in Yanji City were selected as the research objects.The test method and interview method were used to test the test scores of“Junior Middle School Students' Mathematical Reasoning Ability Test" for 388 students of Grade 8 and 9 in Yanji City.30 junior high school first-line mathematics teachers in Yanji City conducted a questionnaire survey on“Junior High School Mathematics Teachers ' Reasonable Reasoning Teaching Questionnaire”,aiming to understand the understanding and mastery of junior high school students' ability of mathematical reasoning and reasoning,and to improve the ability of reasoning reasoning.Related recommendations.Data were analyzed using SPSS 25.and EXCEL.statistical software,with appropriate reference to teacher and student interviews.After comprehensive statistical analysis of the survey results,it is found that the influence of school and grade on the ability of reasoning reasoning is significant,and there is no significant difference between gender and ethnicity in reasoning ability.Among them,students' inductive ability,analog ability and generalization ability are medium.Horizontal observation and experiment,specialization and imagination are on the middle of the upper,so from the school aspect should strengthen the teacher's self-cultivation,strengthen the teacher ' s emphasis on the ability of reasoning reasoning,students should strengthen their sense of independent inquiry,the total ability of combined reasoning At the same time,teachers should skillfully create situations to help students pay attention to the induction,analogy and generalization ability.The research of this topic is both an end point and a starting point.In the subsequent research,the relevant theories of sensible reasoning can be studied more deeply.