The present investigation had had as objective to elaborate and to apply the program "CSCJF" to improve the basic abilities of the mathematical logical thought significantly in the children and girls of 5 years of the lnstitution Educational Nº 00205 of the district of Rioja; 1 study that is justified specifically for their relevance in the educational field in Logical Mathematics's area that you development in the level of initial education and to have allowed to stimulate in the children and girls the basic abilities that will be good them for the mathematical logical knowledge. The theoretical conception that sustains the present study is based on the contributions of Piaget (1975 - 1977), on the mathematical logical knowledge in the boy and in the studies of Riquelme (2003), on the basic abilities for the initiation to the calculation. Supported in these theories, it was considered ...