I would say to just both learn Algebraic Notation. It is not so hard, and it will definitely benefit you in the long run.
Black
-------------------
8 | |
7 | |
6 | |
5 | |
4 | |
3 | |
2 | |
1 | |
-------------------
A B C D E F G H
White
There are 8 rows ( 1 - 8 ) and 8 columns ( A - H ). When moving, you use a prefix of the piece name ( pawn - no prefix, knight - N, bishop - B, queen - Q, rook - R, king - K ), and a suffix of where the piece will end up. Some examples: e4, Bg2, Nf6, 0-0 which means to castle king side, 0-0-0 which means to caste queen side, Qxf7++ which means Queen takes on f7 checkmate, a8=Q pawn promotes to a Queen, Re1.
The point of using notation is to speed up the recording of the game, but can also be used during blindfold chess or over vent, skype, or some other voip technology. As such, saying "my bishop takes your bishop" or "BxB" is perfectly acceptable.
One final note, when it is hard to figure out the exact notation, you can always say "a1 to e1" or "a1e1" ( see here for some explanation on ambiguities How are PGN ambiguities handled? ).
Usually people refer to 1. e4
. If you were to tell most chess players you like to open with e4
they will know what you meant. The same would go halfway through the game if you said Nh6
.