Maya's parents didn't allow her to go to the dance because they are unfamiliar with American culture and customs since they are rigid, new to the country, and are still attempting to strike a balance between Kazakhstan's customs and America's more free-wheeling way of doing things.
This reveals that they are having a culture conflict with the American way of doing things, hence their reluctance to expose Maya.
Thus, we can summaries to state that Maya's parents didn't allow her to go to the dance because they are unfamiliar with American culture and customs.
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