Here's an example of my game and my plan, I have the white pieces:
1. b3 e5 2. Bc1b2 Nb8c6 3. e3 a6 4. d4 e4 5. d5 Nc6e7 6. f3 f5 7. fxe4 fxe4
8. c4 d6 9. Nb1d2 Bc8f5 10. Ng1e2 Ne7g6 11. Ne2g3 Qd8d7 12. Nd2xe4 Bf5xe4
13. Ng3xe4 O-O-O 14. Bf1e2 Qd7e7 15. Qd1d4 Kc8b8 16. O-O Ng6e5 17. c5 Ng8f6
18. c6 b6 19. Be2xa6 Kb8a7 20. Qd4a4 Rd8a8 21. Ba6b7 1-0
My first three moves, book.
3.a6 messes with my mind because I want to play Bb5 which is supposed to pin the knight because he was supposed to move his d pawn, I was hoping for d5. Now that those hopes are dashed what do I do? I play a move I very seldom play, d4 hoping to deal with d5 that way. I want to have my diagonal open form my bishop which is why I don't like playing d5, but in this case I don't think the middle will get clogged.
4.e4 My opponent hopes to clog up the middle with the advance. I can't attack the pawn right away and if I don't do something he'll support that e pawn by playing d5, so I stop him with by putting my pawn on d5, and threaten his knight at the same time.
5.Ne7 My pawn looks like it is under attack, but the queen supports it nicely, now I have time to deal with the pawn on e4, which really is a pain in my side, so I play f3, it opens my king to the queen check, but his knight blocks his queen, so I'm not really concerned with it.
6. f5 expected that, opens up his king to my queen check and my queen isn't blocked in. I go for the pawn exchange.
7.fxe4 I know I'm going to want to put pressure on the e4 square, so I decide to free up my queen and open the c2 square for my queen if need be, so I play c4. It isn't good to leave pieces hanging, even pawns. c4 gives me for freedom with my queen. It is no longer the only support for the pawn on d5.
8.d6 opens the diagonal for his bishop. I decide to put pressure on the e4 pawn and develop the queen side. I have the thought that I might need to castle queenside, my kingside isn't very well developed and I have issues. f3 isn't safe and my kingside bishop doesn't have very many options. I play Nd2.
9. Bf5 supports the e4 pawn. In this kind of situation I like to play Qh5+, but that is really bad. All he has to do is play Bg6 and I'm forced to retreat. Sure, if he played g6 I could have retreated and his rook would have been mine, but you shouldn't make moves hoping for you opponent to screw up. Instead I decided to develop with Ne2, which will allow me to play Ng3, attacking the e4 pawn.
10.Ne7 frees up the queen and bishop. But allows me to attack the e4 pawn with Ng3.
11.Qd7 supports the bishop and clears for castling, but doesn't support the pawn, so I take it. Nxe4 Don't take the bishop here because that brings the queen up to replace it. The pawn is still supported.
12.Bxe4 so I recapture Nxe4. That kind of stuff basically plays itself.
13. Castle queenside. Hey look, the queen and king are on the same diagonal. If he's not careful the queen can be pinned. Be2
14.Qe7 darn it, can't take the queen. But I also noticed that my knight was now under attack. Do I retreat it? certainly not, that would be a waste when the queen can support it and would be better if moved to d4. Qd4.
15.Kb8 he sees that my queen would like nothing more than to be played to a7. Now what can I do? My king is checkable, so I decide to go for some king safety, castle kingside.
16.Ne5 Not sure what my opponents is going here. Nothing is threatened, so I can do what I want. I want to attack his king so I look for ways to bring my pieces to the queenside. The queen's diagagonal isn't very good anymore. I play one move that makes both my queen and e2 bishop much stronger for. Sure, I'm going to give the pawn away, but it opens the board rather nicely. I think it was the winning move of the game. c5 Yes, the pawn move was the move of the game.
17.Nf6 Wow I think that was the losing move. Once again I'm free to do what I want. I want to open the queenside for me and close it off to him. c6
18.b6 king is still protected on the b file, but what did my opponent leave hanging with that one? Bxa6. Remember that move that was supposed to prevent my bishop from being played to c5 early on in the game? Now it becomes a target because my opponent forgot that even pawns need to be supported.
19Ka7 attacks the bishop, but the bishop can be supported with Qa4. Qa4 and Bxa6 were both possible because of the pawn push c5. I now threaten a very powerful discovered check.
20.Ra8 That would counter the discovered check nicely if it wasn't for the fact that I have a pawn on c6. Bb7+ which threatens force mate, forced move Kb8 followed by Qxa8#.
You can see that at the very beginning it was just book, I then had to make a move that fit with my opening ideas. I then had to take advantage of what my opponent was giving me, while trying to not offer anything to him. Pawns can get in the way and pawn pushes can be very good freeing moves. Pawns on the other side of the board can become either targets or powerful outboasts which can attack very important squares.