The increasing technological advances in the present age reveal the need and necessity of primary teaching of mathematics more than before. Teaching mathematics should be done in order to increase the ability to gain scientific and technological literacy in students that this process begins from basic concepts such as the four main actions in mathematics. Therefore, several educational methods have been presented in this area in order to facilitate learning, which have been introduced and provided as educational aids and methods. Accordingly, this study, considering the age group of 7 to 9 years, as the most elementary age group in the country's formal education to begin math learning, recommends designing of educational games in the form of a product as an effective way to improve quality of children's education. Thus, this research used combined research method aiming at motivating and creating interest in students and also helping to the improvement of their learning level in math lesson. In the qualitative section, inductive analysis was used in order to obtain the framework, and in the quantitative section, library method was used in order for internal validation and the examination method of pre-test and posttest was used in order for external validation. Also, in order to obtain external validity of the recommended framework in learning the principles, it was implemented on 50 students in one of the schools in Tehran. Examining the effectiveness and external validation also showed that they can exercise math operations through a new method named game-teaching.