advance

How to sign: contribute to the progress or growth of
"I am promoting the use of computers in the classroom";

Similiar / Same: promote, encourage, further, boost

Categories: back up, support

Within this category: carry, connive at, contribute, feed, foster, help, spur

advance

How to sign: obtain advantages, such as points, etc.
"The home team was gaining ground"; "After defeating the Knicks, the Blazers pulled ahead of the Lakers in the battle for the number-one playoff berth in the Western Conference";

Similiar / Same: pull ahead, make headway, get ahead, gain ground, win, gain

Within this category: score, steal