To think and learn without realising it, because you are having fun! By the end of the class students will be aware of the main arguments in the area of Philosophy of Personal Identity, such as P-Theoies and C-Theories. And will also have some fun thought experiments to freak their friends out with!

I have a PhD in Philosophy and have taught this course may times - it's one of my favourites and the students all love it too.

The Stanford Encyclopedia of Philosophy is a well respected reviewed source of great introductions into all Philosophical Topic. There are also many follow on references at the bottom of each article. Wikipedia is also a good starting point, but is obviously less reliable as it is not peer reviewed.

Stanford Encyclopedia of Philosophy - https://plato.stanford.edu/entries/identity-personal/
Locke J. (1975) "An Essay Concerning Human Understanding" ed. P. Nidditch, Oxford: Clarendon Press - (original work, 2nd ed., first published 1694)
Lowe E. J. (1996) "Subjects of Experience"  Cambridge University Press
Lowe E. J. (2005) "Locke" - Routledge Philosophers
Hume D. (1739 [1978]) "Treatise of Human Nature"  Oxford: Clarendon Press, 1978
Dainton B. (2005) - "Stream of Consciousness: Unity and Continuity in Conscious Experience"  Routledge
https://en.wikipedia.org/wiki/Personal_identity