Latin teachers may differ in their teaching philosophies and styles, but the vast majority would concur that the best way to improve Latin reading comprehension is to read. Latin teachers who teach inductively will as a matter of course incorporate as much reading as possible. Even Latin teachers who teach the language deductively still expect their students to apply the grammar taught to reading and translating.
John Piazza has put together a wonderful selection of resources for teachers who want to increase the amount of extensive, comprehensible, content-rich (interesting!) reading resources for their students. Included you'll find An Introduction to Every Day Useful Latin, a work in progress by John Piazza and Robert Patrick.
