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The cultural, technological and eminently social character of the computer programming problems solving process, joined with the complexity and difficulties detected in their teaching, has contributed to increase the concern about the study of the processes of communication, transmission and understanding of computer programming and to attract the attention of a wide scientific community in correspondence with the growing development that this reaches at the present time. That is the reason why this paper has the objective of discovers, from the didactic point of view, the integrators axes of an algorithmic logic that solves the contradiction that is revealed in the formative process between the mathematic modeling and their algorithmic systematization to empower an efficient performance of the professionals of Computer Science and Computer Engineering. In this sense a new didactic proposal is based, that consist in an algorithmic logic, in which are specified and explained those essentials processes that should be carry out to solve computer programming problems. Based on the theoretical fundaments, we concluded that these processes constitute didactics moments, required in order to solve the contradiction mentioned before.