I agree very much with Keano.
A beginning chess player learns the moves and a few names of openings.
An intermediate chess player begins to learn the lines.
An advanced chess player starts to look for ways to play lines in his own style.
A player who wants to be truly competitive has opinions on variations based on experience and taste. Those opinions are stated in terms of +=, =, =+. There are very few positions that are truly equal that aren't just plain drawn. One side or another has some sort of extremely small advantage.
The goal and the test of a great player is to take the elements of the position that are advantageous to him and turn the position into a win.
For everyone below a certain level, the differences between the three symbols can't really be described as computers do, by the amount of tenths of pawns one has. It may be more useful to ask yourself the following questions:
* Which side has the initiative, and is there any compensation for the side without the initiative?
* Which side would I rather play, and why?
*Which side has the advantage in an endgame, and is this a big enough advantage to worry about losing?
In assessing endgames, I often ask myself whether I would have better chances of winning/drawing with certain pieces/pawns on the board.
After the game, I go back and try to make formal decisions about where White lost the advantage or Black gave up too much. (I believe that while chess is theoretically drawn (=), White has a small advantage (+=) from the beginning.

) One of the best things a player can do when analysing his or her own games is to determine where the crucial turning points in the game were, and why.
Also, when annotating games for publication, I simply avoid those symbols and describe the advantages and chances for each side. Reviewers have often stated that such symbols that you have pointed out plus the unclear signs are often just a way for an annotator to stop his lines of analysis (and is often called lazy for doing so).
I know I went a bit off topic, but I hope this answers your question to some extent.