How did the public school system change during the time of
Reconstruction?

Eric Foner: Freedom had many meanings to people coming right out of slavery. But one of the things that it critically involved was access to education. Most of the Southern states, before the Civil War, made it illegal to teach a slave to read and write. Now, some African Americans did learn to read and write secretly. Some... their master or mistress actually taught them to read and write. But the vast majority had had no access to education at all. And they realized that education was critical to advancement as free people in this society. As well as, many of them, being deeply religious, wanted to be able to read the Bible.

Explanation:

the doctrine of nullification recommended that states living inside the union have the one-sided, inalienable ideal to void any law made by the national government that could be esteemed illegal.

the united states was shaped based on a general agreement among its individual states. hence, it is inferred that under the hypothesis of invalidation, since the states are the establishment of the union, they have the ability to referee and disprove unlawful laws.