The aim of the research is to identify the cognitive method (rigidity flexibility) of third-stage students in the collage of Physical Education and Sports Sciences at The University of Baghdad, as well as to recognize the impact of using the McCarthy model in learning some of skills in gymnastics, as well as to identify the best groups in learning skills, the experimental curriculum was used to design equal groups with pre test and post test and the research community was identified by third-stage students in academic year (2020-2021), the subject was randomly selected two divisions after which the measure of cognitive method was distributed to the sample, so the subject (32) students were distributed in four groups, and which the pre test was conducted and then the experiment was carried out for 6 weeks by two educational units per week, after which the remote test was conducted, the reserchers were used SPSS to process the results, and a set of conclusions were reached, the most important of which was: McCarthy's cognitive style (rigid flexibility) has a positive impact on learning the skills under study, but McCarthy’s model according to flexible cognitive style has outperformed the rest of the groups.