Anticipation skills as you term it need to be bounded and realistic. When you say "see 2,3,4 moves etc." generically, you really are trying to find a needle in a haystack ... it's just not realistic or efficient.
In order to climb up to an intermediate strength of play, you really only need to pay attention to forcing lines that your opponent can play in response to your own move. (Checks, Captures, or moves that threaten something harmful if ignored).
Other moves (non-forcing) are relatively less important .. and even distracting as you are at a point in your chess development where simple tactical errors dictates the end result of 99% of your games.
Once you get good (board vision gets better) at spotting all forcing moves that your opponent can play in response to your "planned move", you need to then start getting good at calculating these forcing lines out and seeing if the resulting position is better for you or him (evaluation skills).
This "forcing move scan" will result in you picking better moves to play.
Put these all together and you'll be on the road to playing safer chess.
Try writing up a worksheet with the following columns and playing your next chess game (online, club etc.) with it.
C1. His Move
C2. Your "planned" move (don't play it yet)
C3. What are all of his checks, captures and threats if you play this move? [list them all out]
C4. Can you deal with them safely? (calculate all of these options in C3 out and put a check-mark on top of them if you can deal with them safely...if NOT ... i.e. there's something forcing that he can play that you cannot safely deal with, then go back to C2 ... you need to find ANOTHER move to play!!!
Addendum: Before somebody says "what about the opening, strategy or positional factors" and starts quoting Silman-isms about "imbalances", realize that for most beginners, you really have to learn how to crawl before you learn how to walk. Learning to play safe moves is the foundation. Everything else comes later! Take it from me ... a person who ignored this for many years => a disciplined approach to playing safe chess in the beginning has a greater return-on-investment than getting ahead of yourself reading/quoting Nimzo's "My System" when you are still regularly dropping pieces and pawns in your games.
Hi, I would say I am at beginner level but do have a decent understanding of simple moves and techniques.
In terms of improving my game i have been using the tutorials and lessons but always have one problem. My anticipation skill is poor, I think 2, 3, 4 moves ahead with what I think the opposition would do but then my plan goes out the window and I have to re-plan everytime.
Is this a common thing that I will get over with time and more practice or is there a specific way to develop anticipation?