The research aims to find the impact of a proposed strategy according to the Luria model on realistic thinking among fifth-class scientific students and their achievement in mathematics. To achieve it, the experimental research method and the quasi-experimental design were used for two equal groups, one of them is a control group taught in traditional way and the other is an experimental one taught according to strategy based on Luria model. The research community represents the students of the fifth scientific class from the General Directorate of Education of Karkh First. The research sample (40) students were deliberately chosen and distributed equally between the two groups after making sure that they were equals in their previous achievement in mathematics, their level of intelligence, and their chronological age. For the purpose of collecting data for the experiment, 2 test were built both of them were objective, i.e., multiple choice; a realistic thinking test consisted of (15) items, in addition to the achievement test, which in its final form consisted of (20). The results indicated that the students of the experimental group who studied according to the proposed strategy outperformed the students of the control group who studied by usual method. In light of the results, the researcher recommended a number of recommendations.