The present invention relates to an educational arithmetic game system which is based on a smart device and is used to teach mathematics to children and a game method thereof. The educational arithmetic game system according to an embodiment of the present invention, which is used to teach mathematics to children, includes: a server; a game module; a character setting unit; a difficulty setting unit; an item store unit; a mission execution unit; a calculation execution unit; a reward event unit; a database; user information; game information; a smart device; and a gravity sensor. The mission execution unit determines the moving direction and speed of a number monster based on the distance to the number monster and the moving speed and direction of a character when the character is moving.
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