Bayram,
You'll want to use the new Open Graph features included in 3.2. You can find them in the Social area under the Open Graph tab.
Mainly, in here, Enable Open Graph support. Then, in the defaults box, I'd recommend the following line:
image=http://linktoyourdefaultimage.jpg
This will tell Facebook what the default image to use for all of your pages should be. Then, on each individual page, if you want to have a specific image (for an event or something specific), you can include the following tag in the article or a CustomHTML module:
{JFBCGraph image=http://mycustomimage.jpg}
Once you have those setup, you can use Facebook's Linter to see how your page(s) look to Facebook:
developers.facebook.com/tools/lint/?url=...aramaplatform.com%2F
Hope this all helps, and good luck!