I have been looking for the meaning behind it but there is no clear definition online. If it helps, we are going over Native American culture in the United States.
Books used:
Vinland Sagas
The Four voyages by Christopher Columbus
Storyteller by Leslie Marmon Silko
Women's Captivity Narratives by Various Authors
Beloved by Toni Morrison
Heroes and Saints by Cherrie Moraga.
Best Answer
The fundamental meaning of "discursive violence" is, as you might expect, simply "violence that occurs in written or spoken discourse rather than being acted out physically in the real world." The first instance that a Google Books search of the term bears out this primitive notion. From Oliver Elton, "Views and Reviews: Essays in Appreciation, By W.E. Henley," reviewed in The Academy, volume 38 (October 11, 1890):
The next result (chronologically) that Google Books offers comes 79 years later. It's a snippet from Marcel Brion, The Medici: A Great Florentine Family (1969), which again uses "discursive" in opposition to "actual":
At some point in the next decade or so, however, academics commandeered the phrase "discursive violence" and put it to labor for their own semiotic and gender-and-race-studies purposes. It has been theirs ever since. From Frank Burton, "Questions of Violence in Party Political Criminology," in Radical Issues in Criminology (1980):
Wladimir Krysinski, "Manifestos, Avant-gardes, and Transgressive Modernity," in Aims and Prospects in Semiotics: Essays in Honor of Algirdas Julien Greimas (1985):
David Garland, Punishment and Welfare: A History of Penal Strategies (1987) [snippet]:
From Semiotics 1988 (September 1988) [snippet]:
(By the way, Steadman doesn't appear to use the term himself in the vicinity of the quoted passage, as who would who already had syntactic sparagmos on his plate?)
From Iris, issues 8–9 (1988) [snippet]:
From Studies in Twentieth Century Literature, volume 13, issue 2 (1989) [snippet]:
So what precisely do these massed academics think "discursive violence" means? Perhaps it is best to let them speak for themselves (especially since, that way, we can also learn what they think "discursivity" means). From John Paul Jones, Heidi J. Nast, and Susan M. Roberts, contribution to Thresholds in Feminist Geography: Difference, Methodology, Representation (1997):
So you see, it has to do with socio-spatial relations, and scriptive processes and practices, and subaltern position acquisition through passive-voice casting.
My advice is to ask your teacher or professor what "discursive violence" means. I'm sure he or she has some definite ideas on the subject—and from a practical perspective, those ideas are what matter most.