How did american cultural life in the early nineteenth century reflect the republican vision of the nation’s future?

The early nineteenth century reflected the republican vision of the nation's future. This phenomena wa called "Rise of nationalism"  and consisted in more education, independent literary life from Europe, the american religion was adjusted and republican ideals were questioned.

During his rule, president Jefferson called for a "crusade" against ignorance, because the republican vision of America included virtuous citizens. Republicans believed in the establishment of a nationwide system of public schools.

In addition, female academies were open, fomenting the "republican mother value": Women need education in order to teach their kids.