The Study Of The Influence Of Primary School Students' Mathematical Modeling Ability On Cognitive Load

The mathematical model is discussed in this paper,which is a process of solving problems to analyze and simplify the actual problem,in order to get a mathematical structure,it was simplified through the use of appropriate mathematical tools,mathematical symbols,mathematical expressions and quantitative relationship.For example,the formula manipulation,the algorithm manipulation and so on.The skills and the abilities is needed to complete modeling and put it into action,that is included in the mathematics molding ability.Mathematical modeling is a abstract process and a process of understanding.The correct evaluation of the relationship between mathematics modeling ability and students’ cognitive load stroke,which can be convenient for teachers to control the difficulty of teaching and teaching contents in the teaching.Students not only can reduce cognitive load effectively through foster the ability to construct mathematical models,but also can avoid increasing students’learning pressure when the ability of mathematical modeling is increased excessively.According to the definition and the process analysis of mathematical modeling by the OECD(Organization for Economic Co-operation and Development),Wendy Maull and the experts and scholars from home and abroad,we need to orientate the mathematical modeling reasonably in primary school.According to the category of the mathematical modeling ability by the PISA2012,Katja MaaB and Professor Yang Qifan.We need to analyze which abilities is included in the process of developing mathematical modeling ability in primary school.We designed the educational games to cultivate students’ mathematical molding abilities based on the theory framework of the PISA2012.The PIAS2012 proposed three stages of mathematical modeling ability.Combining the analysis of classification of mathematical modeling ability by Blum and the experts and scholars from home and abroad,we propose the five level hierarchical of pupils’ mathematical modeling ability.We analyze the influence of modeling ability of the primary school stage mathematics cognitive load on the basis of experiment,combined with the theory of cognitive load research and cognitive load measurement method by Paas,sweller,Lin Chongde.The research is divided into three parts.In the first part,we need to understand the subjects before the training level of mathematical modeling through the pre-test,and test the degree of cognitive load through the task performance test and paas assessment scale.In the second part,In order to train and improve students’ ability of mathematical modeling,the experimental group of students will be guided by ability training with the educational games.In the third part,we need to measure students’mathematical modeling ability and the degree of the cognitive load again after the train is finished,then we analyze and compare the results of the two experiments.The study found that Fifth Grade Students have owned a certain ability of mathematical modeling ability.Specifically,they were the abilities of expression,characterization,digitization,interpretation and inspection.Not all stage are equal in ability,it is leads the different levels of mathematical modeling ability finally.The mathematical modeling ability of in different level,is significantly correlated with the cognitive load.Specifically,the ability of mathematical modeling is positive correlation with the external cognitive load.Related to the germane cognitive load,In the range of the ability of the expression,characterization and digital,it is positive correlation.n the range of the ability of the interpretation and inspection,the effect of mathematical modeling ability on cognitive load is insignificant.The status of the mathematical modeling ability need to be positioned rationally,It is important for mathematics teaching in primary school.