The precise definition of PPPs indeed generates confusion, sometimes. In Brazil, the term PPP is used to distinguish contracts where government subsidies are allowed from concessions, where transfers are legally prohibited. In fact, both types of contracts fit the World Bank definition of PPP.
In economics, the term PPP is used to differ from conventional public provision, and usually denoties the bundling of building and operations activities under the private partner's resposibilities.
I am looking foward to taking the MOOC.