I think it's great that you try to give advice and help JukkaJukka Aho wrote: I guess you have no way of changing the methods used in the course. You need extra-curricular activites to supplement the grammar and rote learning. Try finding songs, movies, books, TV shows in Finnish which would interest you. Or maybe register to a Finnish-speaking online discussion forum on an interesting topic, or join a Finnish chatroom (IRC channel), or go to an arts & crafts or whatever class among Finnish-speakers, or join some amateur sports team or whatnot. Maybe the teacher on that class you're attending to could even give you some suggestions and useful hints if you'd approach him/her from that angle - trying to get some extra material to work on.

a) Finnish-speaking activities are not much use without at least "conversational Finnish". Yes you can hear the language, but you can do that with the TV or music. Also, the Finnish that Finns will use in their hobby time is totally different to the Finnish being taught on the course. This just confuses newer students and increases frustration.
b) Approaching teachers to suggest "something different" is usually taked as criticism (we all know that Finns don't take criticism very well, a fact not a swipe). I rememeber many years ago asking a Finnish language teacher if she thought the method she was using was the best way to learn the language. The reply was, "no of course it isn't, but this is the way I am told to teach and they pay be for it".
Language teaching in Finland is (and has been for decades), pretty ineffective. It concentrates too much on grammar, lacks speaking activities and at least in earlier days, it was over-critical of mistakes (so everyone kept their trap shut unless they could form a perfectly spoken sentence). Most people know all this, but nothing every changes. And that's the real crux of the issue - Finns are a passive bunch, they'll gripe and moan about "known problems", but the "accepting" culture means that few will challenge the status quo. Even if someone does manage to make small changes, they're seen as a boat-rocker and the larger group applies pressure for status quo ante, because it's easy and known and takes less effort.