Assuming there are no tactical shots for either side, the best move on the board is the one that improves the quality of your pieces the most and/or diminishes the quality of the opponent's pieces the most. There are an incredible number of factors to this, but by searching for the move that helps your pieces improve the most and/or hinders your opponent's the most will definitely move any player up the rating ladder.
The point value (quantitative value) we are taught at the early stages of our chess playing careers (pawn = 1, knight = 3, bishop = 3, rook = 5, queen = 9) is important to know but material point count is only one of many ideas to look for. Chess author Jeremy Silman as well as the author of the article I mentioned earlier talk about some other ideas (qualitative value) to look for that can also give one player an advantage over another.
1. A lead in development (more pieces off of their starting squares than the opponent)
2. Minor pieces (who's bishops and/or knights are better)
3. Pawn Structure (existence of isolated, doubled, backward pawns, pawn islands, etc.)
4. Space (who controls more space in which areas of the board)
5. Control of open files or key squares
6. Initiative (who is calling the shots, who is reacting to the opponent's moves)
7. Control of the center
8. King safety (from both sides)
The article "Making Decisions in Chess" talks about quantitative and qualitative advantages in chess. The only advantage I used to look for was a quantitative one (who has a higher material point value). I would try to achieve a material advantage through some tactical shot. I lost many games with that narrow minded thinking but that is all I knew until I started reading books and articles. I have improved from a 1400 rating to a 1700 in just over a year since putting in the work on positional ideas.
The article talks about chess as a series of local battles which I think is a great way to look at it. Typically in the beginning, both sides should be fighting over control of the 4 central squares (d4, e4, e5, and d5). One side may choose to allow the opponent to have two of those squares since they can't bring enough force to win them anyway. The fight is then over the other two, which the player knows it can win. This is under the idea of looking for quantitative advantages. Find a square (e5) or an area (kingside) where you are able to bring more forces to bear than your opponent and engage in small battles where you can get a quantitative advantage.
Next the article explains the other type of advantage one needs to look for in chess games. Qualitative advantages which are much more difficult to understand than quantitative. I look over games between masters and wonder why a person that is up a pawn or up the exchange (minor piece and a pawn for a rook) offers a draw. I used to think a one pawn advantage was enough to win, but that is far from the truth. Due to the subtle positional features and quality of the pieces on the board a player can be down material and have the far better position.
The quality of a piece is broken down into four categories by the author of the "Making Decisions in Chess" article.
1. Mobility
2. Positioning
3. Role
4. Stability
1. Mobility - I have a Chessmaster 9000 CD that I used to play quite a bit. I remember when I would hit the move advice option, it would give the move and tell why. "This line increases the mobility of your pieces, decreases pressure on your king, or increases the pressure on the opponent's king" were typical explanations. I didn't quite understand why mobility was so important, but it makes a little more sense to me now. A mobile piece is one that can quickly get to any area of the board where meaningful action might take place making it a higher quality piece. I'm involved in more games now where there is pressure in one area of the board, the defense holds, then another area of the board is targetted. Other factors to consider regarding mobility. Is the piece pinned to the king, pinned to a piece of greater value, or is the piece tied down to the defense of an important square/pawn/piece? If a piece is pinned or forced to defend something, it is no longer mobile at all so it's quality is diminished.
2. Positioning - knights like to be on central support points right in the thick of the battle where bishops, rooks, and queens like to operate where there are open lines (files for rooks and queens, diagonals for bishops and queens). Get your pieces positioned where they like to be and their quality increases.
3. Role - pieces would rather be putting pressure on an opponent's position rather than passively tied to the defense of something. A defensive piece is typically a lower quality piece than one that is offensive.
4. Stability - a piece is stable if it can not be exchanged or forced to move. If a piece is well placed and stable, the quality increases because you can count on that piece for several moves.
Pawn structure is an idea I have studied some, but I need a lot more work on it. I never thought of the collection of pawns as one cohesive unit before, but the article suggests thinking of them that way. The collection of pawns can increase their quality if they are mobile, well positioned (free of weaknesses), play a positive role (gain space and/or control central squares), and are stable.
Let's take a look at some of my recent games and my choice of moves.
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Here is a position out of the Ruy Lopez closed variation. I played fine up to this position I think. My opponent in this game is a strong player and punished me for my next move. I can say that at this point my opening knowledge ran out and I did not look for a move that would help my pieces improve the most. I played b4. At the time, I thought this would exchange my b-pawn for his c-pawn which should be a good thing. His c-pawn controlled the central square d4 so removing it seemed like a good idea at the time. It turns out to be a minor inaccuracy. How did it help my pieces improve or take away from the gains he has made? We will see after a couple of moves that it did neither.
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