This paper is about possible application of computers in calculating mathematics contents in initial mathematics teaching. A special place of application of computers, as one of the contemporary technical achievements, in the process of transferring mathematical knowledge comes from contemporary transformations of initial mathematics teaching. A computer, in the process of realization mathematical contents in lower grades of primary school offers great possibilities for using both for teachers and for students. It enables a greater level of individualization of the teaching process. Organization of initial teaching mathematics with application of computers, presents one of the innovations in the teaching practice, which is still undiscovered in our educational process. Some of the basic requirements have been stated which teachers should stick to when thy prepare contents sequences at the computer, and a didactic model of forming teaching contents has been made when put into contents' sequences. Two models of application of computers have been presented in realization of Mathematics contents in initial teaching mathematics, and their basic function is to make teaching mathematics more appropriate to the real needs and possibilities of students.