Negotiations into a new contract for faculty at Pennsylvania's state-run schools will continue Tuesday between the union that represents a vast majority of professors and coaches. Kenn Marshall, spokesman for the Pennsylvania State System of Higher Education, said the system is hopeful it will be able to reach an agreement with the Association of Pennsylvania State College and University Faculties and avert a strike among APSCUF faculty at the state's 14 universities. "The two sides today exchanged…