The idea that during the Reconstruction Era(1863 to 1877), everything for slaves was hunky-dory is totally and completely incorrect.
In 1865 the 13th amendment was granted, it's purpose was to abolish slavery in the United States. In 1868, 14th amendment was granted, it provided the guarantee of rights and security of the freed people. Lastly, the 15th amendment was issued, and it allowed African- Americans the right to vote. Even with these amendments, the southern states found a loop hole. The tenth amendment. This allowed the states to issue the black codes, which were laws that applied to African-Americans which essentially prevented them from buying property, voting, and serve in juries, or the military. The purpose of the unjust black codes was to make an attempt to re-instigate the status of blacks the was it was prior to the reconstruction era, limit the race as much as possible. In light of all these codes and events, blacks maintained a position of inferiority and were definitely greatly discriminated upon. This was the case up until the 1950's, the African- American people were greatly restrained. It seemed like they made progress but in reality they didn't. It was like taking one step forward, and two steps back.
The slaves were placed into a difficult situation, and the white population took advantage of that. During the Reconstruction Era, sharecropping was popular and widespread. Sharecropping was where slaves stayed on a plantation and were granted a plot of land, and they owed about half of what they harvested to their masters. Also, they were still under their masters reign, because they had to sign a contract that basically told them they must to whatever they are told. Also, they made minimal amount of money, and lived in poverty. The act of sharecropping was still widespread up until the civil rights movement.
The civil rights movement took place between 1955–1968. At this point in time, African- Americans were still being discriminated against, just like they had been for a hundred years. Though it was not as bad as during the Reconstruction, the whites still felt supremacy over the black. They were segregated, with separate bathrooms, separate water fountains, and separate schools. One was for the "whites," and the other for the "colored". In addition to this, they were still not allowed to vote, and were the victims of heinous violence crimes.

The African- Americans succeeded in their struggle to fight for their rights, and they stood up with a voice, and achieved their purpose. This was how the civil rights movement differed from the Reconstruction era.
Sources:
http://www.kirkwood.k12.mo.us/parent_student/khs/plattes/topics11-13/topics11-139.jpg
http://upload.wikimedia.org/wikipedia/commons/thumb/c/c9/Racistcampaignposter1.jpg/250px-Racistcampaignposter1.jpg
http://t2.gstatic.com/images?q=tbn:ANd9GcQiGdOC02WBPSL_pyq4WLFSIDXV2si2Zw3saGRmTCQsK-KlZao&t=1&usg=__NlbmhPfiy5q5XF5hp70hZmhhziA=
http://separate-equal.net/?p=822