Do you know how to play chess? My son learned at age 3 (late 3). It is a wonderful game because you can always find someone to play with you (online) and age and language are not much of a barrier. There are many other fun games you can play with a nonreading child who is math- and spatial-oriented. Try Shut the Box, Uno, Yahtzee, Farkle, Set, Sleeping Queens, Rush Hour/Rush Hour Jr, and Math Dice. Games have gotten wonderful.