Four To Six-year-old Children’s Understanding Of The Inverse Relationship Between Addition And Subtraction And Its Intervention

This research used the experimental method, the intervention method were tested on904-6yearsold children, to study the characteristics and development of children’s inverse relationship betweenaddition and subtraction.The research is composed by two parts, In studyⅠ,we adopt a algebraic reasoningparadigm to investigate the children of4-6years old whose development characteristics on the inverserelationship between addition and subtraction. StudyⅡ on the basis of studyⅠ, all the children weredivided into the two experimental groups and one control group that no differences between them,separately carries on the intervention training,to investigate the children，s master the situation to the inverserelationship between addition and subtraction.Based on the experiment and the intervention training results,the following results were obtained.(1) Through the survey, we found that it is rising trend year by year in4to6years old children.6years old group of children to master the situation is much better than that of5years old group and4yearsold group,5years old group is better than4years old groups.4to5years is the slow period in the inverserelationship between addition and subtraction, and5to6years is the rapid development period.(2)4to6years old children who in the rules is significant superior than in irregular problems, inthe inverse problem of performance is significant better than in the control problems.(3) There is no difference between boys and girls on904-6years old children.(4) By4to6years old children’s intervention, we found that do not join or join the number ofintervention all can significantly improve the children，s master the situation to the inverse relation betweenaddition and subtraction. Join the number of intervention is significantly better than don’t join the numberof intervention.(5) There is no difference between in the retention scores and posttest scores, it produces thedelay effect in the inverse relation between addition and subtraction.