In the following material the problem of functional integration of brain in treated as well as the learning process of the left-handed schoolchildren. The insufficiency of psycho-pedagogic culturalization of Psyhology Science realizations, that should be the support in tehnology promotion of working and modernizing education in general, especially for left-handed children. The authors study this problem that is important in the whole educational world that is centered on left hemisphere functoins on both hemispheres. A lot of datas from literatures that refer to left-handed children skills are described as well as the speech function of the left hemisphere is caused by function of right hand. To sum up the authors of this publication state that a lot of nervous parts assure functional unite of hemispheres and their integration are more important than their separate function.