Here is an ACCEPTABLE paraphrase:

At the turn of the century, noted African-American author, W.E.B. Du Bois acknowledged not only the difficulty African Americans faced in their attempts to integrate into the more established white population, but also their hesitation at losing their African identity. While recognizing how much each culture had to gain from the other, he expressed his desire that African Americans be accepted into American society as equals, without fear or threat of discrimination (1903, p.4).

The preceding paragraph is considered acceptable paraphrasing for two reasons:

• The writer's own words accurately express the information from the original source.
• The writer clearly acknowledges the origin of the information.