References would be personal references - someone with a cell number and call the college he attended; they should also verify enrollment and completion. You don't want to be calling the HR department. Also, a secret is if the reference (not HR) only verifies employment, that's a negative review. They are concerned about liability. If it was a good employee, the references have no qualms about saying so; it's the negative aspects that carry legal liability.

You need to ask for those, not just prior companies. My resume has a "References available upon request" at the bottom and I'd happily give them. Is that no longer practiced? It used to be a requirement.