Research On The Investigation And Teaching Strategies Of Mathematics Analogy Transfer Ability Of High School Students

Analogy migration as an effective solution to the problem is easily accepted by teachers and students.At present,most of the researches on mathematical analogical migration are lacking in systematic,content is fragmented and it does not penetrate into the micro level.There is no relevant study of student's situation.So it will not be able to effectively improve the student's ability to migrate.The purpose of this study is to enter the students and find out the main obstacles in the use of analogical migration to solve mathematical problems.In order to better cultivate their analogical migration ability.Based on this starting point,this paper is mainly includes two parts.The first part analyzes and explores relevant concepts and theories.In addition,based on the mathematical analogical migration's classification of mathematics problem proposed by changhong Qu,huawei Zhu and huifang Yan,and combining with senior mathematics's teaching materials and college entrance examination,this paper puts forward three common types of migration in senior mathematics:mathematical knowledge analogy migration,formal analogy migration,method analogical migration;Then,as for the cognitive process,the author refers to analogical migration,the thinking steps of general mathematical questions as well as the analogical migration in solving mathematical problem,The process is divided into three stages:clear essence of the "target problem"?retrieve "source problem"?migrate the "source problem"solution to solve the "target problem".The second part,based on the first line of teaching,made a corresponding research.The main purpose is understand the current situation sophomore students using analogical migration method to solve the problem of mathematical problems,The main research methods is questionnaire.The object of study is text and science's sophomore students of three parallel classes.The data was analyzed by SPSS.Draw the following conclusions combining with qualitative analysis and quantitative analysis:(1)As a whole,the level of migration of sophomore students is not high,at a moderate level,especially students' awareness of applying analogy migration to solve problem is relatively weak.(2)In the three kinds of migration,students master the mathematical knowledge is better,the other two cases are not optimistic.(3)In the retrieval phase,mathematical knowledge and method analogy migration is difficult for students;As for formal analogy migration,for simple topics,they can search for analogy objects based on formal structure of source problem,but for complex topics they can not make the corresponding deformation.(4)In the migration phase,for method analogical migration,as long as the successful retrieval of the "source problem" and to ensure its smooth solution,then the probability of success of solution is still relatively large.For the other two migrations,students tend to use simple mechanical migration,and they dot not accustomed to adjust the solution of the "source problem".(5)There are significant differences in analogical migration the between different liberal arts divisions and science students master better than liberal arts students;There are no significant differences in high school boys and girls in this respect.The third part,according to the conclusion of the study,the author puts forward some teaching strategies for the three kinds of analogical migration,and under the guidance of these strategies,the corresponding teaching design is given for the teachers' reference.Due to the lack of author's own teaching experience and understanding,coupled with the restriction of objective condition.So,there are still some shortcomings in the study,to be further improved.