The Teaching Research Of Elementary School Score Division Calculation Based On The Multi-representation Theory

At present,"understanding mathematics" has become one of the main focuses of mathematics education reform at home and abroad.Which grade division is in the elementary school mathematics scores in the learning process is the most prone to understand difficult knowledge points,in the grade division,reverse multiplication technique was used to realize to the multiplication,division students usually only remember the algorithms,but most students can't understand the operation principle,namely "why divided by a number of except(0)is multiplied by the number of the reciprocal of".How to improve students' understanding of fraction division?If we can understand the operation of fractional division by means of multiple representations,so that students can not only carry out the correct operation of fractional division according to the rules,but also understand the operation of fractional division,so as to improve students' operation ability in a deep level.This will provide a meaningful reference for the frontline teachers and mathematics education researchers.This study first by combing the related theory and the existing research results,as the theoretical basis of this study,three dimensions and from students,teachers,teaching materials to study the status quo of teaching of grade division,according to the findings of the investigation and analysis,based on the theory of multiple representation of "score division" teaching strategy,and on the basis of the "scores divided by an integer" and "a number divided by the score" teaching of specific teaching design.Finally,through the implementation of classroom teaching,the classroom effect analysis is carried out by using four dimensions(algorithm skills,application situation,graphic representation and property proof)of eusiskin's understanding of fractional division.From the analysis of teaching effect,it is found that students' understanding of score division is divided into several levels,and the most easy to acquire is the understanding of calculation skills,that is,the operation of "dividing by a number(except 0)is equal to multiplying by the reciprocal of the number".Second is the application situation understanding,but the student is easy to be affected by the teaching material example question situation,is difficult to transform to other situation model;Next is the nature proof understanding,USES the quotient invariant rule,the equality nature and so on the form derivation and the understanding algorithm;Last but not least,it is difficult for students to understand the graphical representation of "a number divided by a score".