A few things I can think of that may help you out.
1. Do you have the Panel Interface turned on? The Panel Interface provides lots of info for you during your games. If it's not turned on, here's how to do it:
Click on "Settings" under the Personal Menu menu.
Where it says Game Settings, click "Yes" for the Panel Interface. You can personalize this with the options under the Panel Interface.
Now, when you play, you'll see the windows on the right of the map. You should see a small circle with what looks like compass points. Click those circles one time each. This will move the Panel Interface to below your map. You should be able to have all your tabs lined up horizontally and you can click through them to get various game info.
2. Take a Snapshot after you have finished your turn. You can find the Snapshot option on the Panel Interface menu once you have it turned on. Simply click the "Snapshot" tab and then click "Snap". The computer will take a screen shot of current game that is saved directly below.
When your turn comes back up, click the Snapshot tab and then click on your previous snapshot. Then click "Analyze". This will show you what territories have changed hands since the last turn.
3. Check the Game Log. This tells you move by move what your opponents did. A little tedious to read through, but it does help.