Investigation And Research On The Present Situation Of Mathematical Analogical Reasoning Ability Of Senior Three Students

The new curriculum standard regards logical reasoning as one of the core qualities of mathematics.Cultivating students' analogical reasoning ability is an important way to cultivate students' innovative ability and the key to develop students' core quality.Logical reasoning is also the direction of the college entrance examination proposition in recent years.Through three years of educational practice,it is found that the students in senior three general review can not establish a systematic knowledge network.Therefore,it is necessary to study the analogical reasoning ability of senior high school students.Through the collation and analysis of relevant literature at home and abroad.The topic of this study is Investigation and Research on the Present Situation of Mathematical Analogical Reasoning Ability of Senior Three Students:Take M Middle School in Jingtai County of Gansu Province as an exampleThis paper mainly studies the following three questions:(1)What is the current situation of the students' ability of mathematical analogy reasoning in Senior Three?(2)What are the factors that affect the ability of analogical reasoning of senior three students?(3)Suggestions on training the ability of analogical reasoning are put forward.Through the test and questionnaire survey of 267 students in M Middle School of Jingtai County,Gansu Province,37 teachers in M Middle School were surveyed,and some students and teachers were interviewed.After collecting data,SPSS19.0 and Excel were used to analyze the data of questionnaires and test papers.Through research and analysis,the main conclusions are as follows: senior three students have low ability of mathematical analogical reasoning;among the several types of analogical reasoning,the analogical reasoning ability of nature analogy and concept analogy is the highest,and the analogical reasoning ability of operation relationship is the lowest;the mathematical analogical reasoning ability of science students is higher than that of liberal arts students;the concept analogical reasoning ability of liberal arts students is the highest,and the analogical reasoning ability of operation relationship is the lowest.The students of science have the lowest ability,the students of science have the highest ability ofconceptual analogy and property analogy reasoning,and the lowest ability of operation relation analogy reasoning;the girls of liberal arts have higher ability of mathematical analogy reasoning than boys,and the boys of science have higher ability of mathematical analogy reasoning than girls;the students of different classes have different ability of mathematical analogy reasoning,and the students of key classes have different ability of mathematical analogy reasoning.Compared with the ordinary class,the reasoning ability is higher;the factors affecting the reasoning ability of mathematics analogy of senior three students are students' interest in learning mathematics,learning attitude,learning methods and teachers' teaching methods;the mastery of students' basic knowledge is also the key to affect the ability of mathematics analogy reasoning.In view of the factors affecting the ability of analogical reasoning of senior three students,we can cultivate students' interest in mathematics learning,change students' learning methods,and improve students' autonomous learning ability.Teachers should excavate materials in textbooks to change teaching methods,create teaching situations,explore teaching,and be able to classify and summarize different forms of analogical reasoning,improve the evaluation mechanism,in order to improve the third-year students' ability of mathematical analogical reasoning in several aspects.