In this chapter, the authors discuss experience accumulated in compensating for intellectual impairments with several different methods of rehabilitation training. Planning for rehabilitation training should be based on different objectives and the use of different techniques since impairments of intellectual operations have different causes. The authors' experiments on the intellectual operations of patients with an injury to the frontal lobes gave us every reason to believe that a similar program of rehabilitation training would not produce the same results, since their perception of the logico-grammatical relationships of a statement and their ability to perform respective mathematical operations remained intact. They did not require special training in techniques designed to analyze logico-grammatical relationships and perform mathematical operations. Training the patient in problem solving with the support of this program gave a relatively stable result. The facts, however, show that even prompting did not always guarantee the correct solution.