Study On The Relationship Between Middle School Students' Transfer Ability And The Mathematical Cognitive Structure

The fourth international mathematics education conference is held in America in1982(ICM E4,America).On the conference,Poly proposed “math help thinking” and stressed that mathematics can stimulate human mind.In today's society,the human mind is essential in human growth.And “genuine knowledge comes from practice”.“Practice” is the executive force,which can be analogy for the capability of mathematics transfer.So this thesis will focus on the cognitive structure and the capability of transfer about mathematics.For students of grade 2 in senior high school,their mathematics knowledge range is neither too narrow nor too broad.So they are selected as the research object.The relationship between middle school students' transfer ability and the mathematical cognitive structure is studies.The main research contents are as follows:Firstly,society needs people to have two abilities.It includes mature mind and strong execution.By analyzing them,it shows the importance of mathematics.Then by a kind of common phenomenon in math class,it shows the improvement of the mathematics transfer and the cognitive structure can be better to develop mind and the practice ability.Secondly,according to the relevant literature,the topic is put forward.This thesis expounds the relationship between special transfer and general transfer.It is similar to “one to one” and “one to many”,which causes thinking about “whether can use the thought of‘multiple questions' to study the topic”.The test and questionnaire are designed for students of grade 2 in senior high school.And then the entropy weight method is used to analyze data to show the reliability of the test.Then the guess is verified.Finally,the conclusion is presented.The improvement of the cognitive structure can affect transfer ability.For high quality students,complex cognitive structure can more affect transfer ability.For poor students,simple cognitive structure has larger influence on transfer ability.Based on the conclusion,it suggests that the teachers should further study the knowledge structure and thinking methodology of mathematics.It can make students mathematical transfer better and increase the ability of problem solving.