"I am promoting the use of computers in the classroom"
2. give a promotion to or assign to a higher position;
"John was kicked upstairs when a replacement was hired"
"Women tend not to advance in the major law firms"
"I got promoted after many years of hard work"
3. make publicity for; try to sell (a product);
"The salesman is aggressively pushing the new computer model"
"The company is heavily advertizing their new laptops"
4. be changed for a superior chess or checker piece
5. change a pawn for a king by advancing it to the eighth row, or change a checker piece for a more valuable piece by moving it the row closest to your opponent