Sentence:  Schools where admission is purely through a test, like the elite public New York City high school Stuyvesant, often have large percentages of Asian-Americans. The University of California at Berkeley and Los Angeles are more than half Asian. That doesn't help them integrate effectively, to pierce what some call the <WSD>bamboo ceiling</WSD> in the corporate and political worlds. 
Meaning of the word marked with <WSD> tags:  Especially in America, a social barrier to further promotion or progression, in employment and elsewhere, for a person of East Asian ethnicity.