You might enjoy the following post from Doug Wilson regarding the benefit of learning Latin (my thanks go to David Byle, a missionary in Istanbul, for sharing this with me.)
The Brain Is More Like a Muscle Than a Shoebox (or Why It’s Good for Kids to Learn Latin)
Posted: 24 Sep 2012 11:00 AM PDT
“If a football coach were making his player run wind sprints in a particularly hard practice, no one would upbraid him for making his players run from the thirty-yard line to the forty-yard line and then, mindlessly, pointlessly, back again. If he were confronted, he would point out that the issue was discipline and not the particular piece of ground the players were covering. In fact the ground covered in the subsequent game is not important in itself either but is related to a higher end.
“We tend to think of our students’ minds as finite shoeboxes, and we then think we must take special care not to put anything in there if we do not want it to remain there for life. But the brain is more like a muscle. A student who learns one language, such as Latin, is not stuck with his shoebox three-quarters full, with no room for Spanish. Rather the student has a mind that has been stretched and exercised in such a way that subsequent learning is much easier, not much harder.
“Now of course this kind of mental discipline could be acquired by requiring of the students the intellectual equivalent of running back and forth. While a football coach might be able to get away with this, because everyone understands the point, we should not attempt it in the classroom—although mental wind sprints that had no point in themselves would still be better than simple laziness. The reason this approach would not work in the classroom is that the human mind is inescapably teleological; it wants to know why it is learning something. Latin has the advantage of providing the grist for the mill of the mind, while also providing great practical advantages. To return to our metaphor of football, the study of Latin is therefore simultaneously an exercise to prepare for the game and part of the game.”
—Douglas Wilson, The Case for Classical Christian Education (Wheaton, IL: Crossway, 2003), 140-141.