Conversation so far:
how does the correspondence principle operate within school
The correspondence principle states that social relations in school can be directly related to those in the work-place, meaning that educational institutions prepare students for their future work roles
what are writers in the correspondence principle vein interested in
Writers in the correspondence principle vein are in particular interested in the relationship between a person's social standing and the type of education that is received at school.

Question: who are the writers in the vein
Self-contained rewrite: who are the writers in the correspondence principle vein