Hey & welcome!

Originally Posted by: AllenTingWhile I was taking the lesson "On the middle (and upper) Strings" from Chapter 4, Fundamental 1. I noticed the way Chris played in the Video is different from the actual printed music notation.

No, they are the same.

Look at the music notation. Right below the title, but above the music is the tempo indicator "Moderate". There is also a little symbol showing that two 1/8th notes equals 2 swung 1/8th notes.

This is "swing time rhythm". Essentially you are slightly delaying the second 8th note of every beat a little bit. How much? Precisely by the amount of an 8th note triplet; thereby forming a tuplet!

Start with even or "straight" 8ths:

1 and - 2 and - 3 and - 4 and -

Insert another 8th note to make 8th note triplets. This results in 3 notes in the space of one beat, instead of just 2 notes:

1 and uh - 2 and uh - 3 and uh - 4 and uh -

Finally, keep the rhythm spacing, but don't play the middle 8th note triplet. This results in the wobbly, slightly off kilter "flat-tire" sound of "swing time". Every "and" is silent:

1 (and) uh - 2 (and) uh - 3 (and) uh - 4 (and) uh -

I did a complete tutorial specifically on this concept here:

http://www.guitartricks.com/tutorial.php?input=542

Hope this helps!