There are high chances philosophy students at university have to write exegetical papers, which we also call an exegesis reading in philosophy. An exegetical reading is an exercise that comes down from the Scholastic tradition in the Middle-Ages, which consists in doing a close reading of a text in philosophy. For historical examples, you can read Aquinas’ commentary on Aristotle’s Physics and Suárez’s commentary on Aristotle.
But what the Scholastics did were exegetical readings of entire books – for the most part. In contemporary philosophy we restrain the exercise to short passages. The idea behind this sort of assignment is to teach students the following skills: i) To be able to understand an argument by deconstructing it so as to highlight a crucial premise in it; ii) to be able to contextualize that premise within the whole argument, its relevance and significance; iii) to be able to clearly explain philosophical terminology that is proper to the historical context and the author using them.