this is my code:
ViewBag.idprofesor = new SelectList(db.Profesor, "IDProfesor", "nombre");
this code generate a dropdown that only shows the name (nombre) of the teachers (profesor) in the database, id like the dropdown to show the name and the lastname of the teacher.
You may have to manually create a ist of SelectListItems that manually specify the fields you want. Like so:
Then in your view: