I know that is has been six months since you posted your question, but maybe you are still open for some new input =)
In my opinion, a good idea to learn german is a so called "Sprachtandem". It means that you meet with a native speaker to speak german with him/her, while s/he is learning your mother tongue.
You can fill in the form on the website of the university of Göttingen to search for a partner:
I'm sure there are some students interested in learning Arabic, Farsi or whatever your first language might be :)
I hope this information is helpful for you or other people in Göttingen.