2 uno r3 how to send int from board one and receive on board 2

Hi to all and thanks for helping.
I am very new to arduino, I have 2 uno r3 from 2 starter kit. I want to combine 2 starter project. On one i will build the led game. i want the second to keep count on successfull round.
I am wondering on i can send a signal to tell the second board to increase or decrease the count.
I am lost as to where to start in order to send and receive an int from board 1 to board 2.
I have found lots of ressources and example to communicate with other devices but not between 2 uno r3
please keep in mind this is my start with hardware. I am skilled with programming and am not looking for a easy solution here, more a start point in order to search my answer.
I tried to use tx rx, was able to send my int, at least i thought, but i must have done it wrong, because it was not received on the other side, is the tx rx pin the right way to do tjis and just had issue with coding?
after my coding was done, the tx on board 1 was flashing, but rx on board 2 stayed off, when i tried to use serial monitor, i confirmed to nothing was received.

Thank you.

To give an update i tried a couple diff way.
I thought i could connect digital pin 2 from board 1 to board 2, set pin2 on board 1 tp high or low and detect it on board 2, was not succesfull because on board 2 it remained random change. Tried the same with analog pin but had the same issue.
I am not sure why it remained random.

You can connect Arduinos via serial easily. T-->R & R-->T, same BAUD.
Like working with a terminal.
Build your own verbs, etc.
This may help:
http://forum.arduino.cc/index.php?topic=147550.0

Added...
If you want to be more abstract, Bill has a great library approach:

Ray

Thank you I think the later will be a better choice for me as I have 2 month experience with electronic at this level and do not understand most of what i read yet. I am still confused with terminology so a lib will be a better choice at this time.