Who were Booker T. Washington and W.E.B. Du Bois? What different ideas did they hold?
They were both African-American rights advocates in the Gilded Age.
Booker T. Washington believed in blacks having economic independence because from his point-of-view, that would solve all problems. He realized that segregation was a major issue at the time, so he ignored it and wanted just economic independence for blacks.
W.E.B. Du Bois argued for complete equality for blacks socially, politically, and economically. He condemned Booker T. Washington as an "accommodationist," as he viewed Washington as lenient in his concessions.
In short, Du Bois wanted complete equality for blacks, whereas Washington wanted just economic independence.