| Proportional reasoning is an important mathematical thinking,which should be developed,of students who are learning mathematics.It is playing a crucial role both in every stage on mathematics learning and other subjects.In China,the knowledge of ratio and proportion is arranged in 6th grade in primary school,where also exists some question about the proportional reasoning.This paper will take a deeper analysis and study,putting forward relative suggestions on the basis of these questions.This paper summarizes and promotes the views I mentioned before through document research method,including proportional reasoning relative concepts,the relation between proportional reasoning and mathematics,and the study of proportional reasoning.Also I gained the data via measurement and connection that is analysed through Excel、Spss and Amos,and then I get the outcome the status quo and questions existing in 6th grade students on proportional reasoning.Finally I will point out relevant solutions.At first,writer teases documents and papers both at home and aboard,confirm the close relation between the important meaning of proportional reasoning study and teaching,also find out this study in China relatively weak.Then,establishing theory which include analogical reasoning、routine proportionality and meta-analogical awareness form on the principle of Modestina viewpoint and editing proportional reasoning test papers that is the method assistant writer to find out the questions.After improving,writer sent out these papers to four classes 6th grade students in SQ primary school.At last,writer collects the papers and set a checkout about reliability and validity.Third,developing a examination principle and analyses the status quos of entirety,each part of all and points distribution,getting the conclusion that the whole ability of proportional reasoning of 6th grade student is at the passing level where has the better points in analogism,worse in meta-analogical awareness.After analysing,writer found three question about the proportional reasoning of 6th grade students,which are misunderstanding the items both before and after the ratio,lack of comprehensive ability on running knowledge and overusing proportional reasoning.Written at the last is the relevant solution solving questions.We can cope with the routine proportionality questions through further understanding proportion and training students comprehensively to utilize the knowledge.Then,improving the differentiability of proportion inference task is the method to avoid of points’confusion,and paying more attention to resolution ways can ease the mechanincal using for the answers in meta-analogical awareness.All of these can get the access to study’s reality sense. |