Originally Posted by Ekis the Seraph
A random suggestion: Why not remove the idea of points and replace it with that of the amount of gold gained during the entire battle?
That, or simply show the time spent dead in comparison to the already number of points captured/neutralized and remove the idea of a 1st, 2nd, and 3rd.
The problem with showing how much gold you have earned is that it encourages afk farming of waves, when what you SHOULD be doing most of the time is hanging around in the jungle looking to make something happen, and only push the wave if its starting to pile up towards your tower.
Also, showing how much time you spent dead simply encourages people to not die, which while not necessarily a bad thing, would leave the initiating tanks and bruisers with the lowest scores, and the ranged guys/supports with the highest.
Also, as has already been said it encourages people to abandon teamfights early because that would net them a better looking score.
Neither of these is an indicator of how well you did.
I'm going to agree with the people who say to just remove the scoring system all together.
If you want to teach new players what they should be doing, just make a tutorial for Dominion like the one for Summoners Rift.
That way you can go in depth in explaining the do's and don'ts.
Just like there is no personal score system for SR, I don't think there should be a personal score system for can make.