Here is the text in the lesson as I look at it initially:
In my view, this is an accidental mistype.
In early Grade 1 strumming ‘on the beat’ is strumming on the counts of 1, 2, 3, 4.
Justin often refers to the backbeat as being the 2 and the 4. He has lessons on the backbeat.
The in-between the beat parts of rhythm are the opposite of on-the-beat. They are off-the-beat.
Playing any sort of 'and; is playing the off-beat.
Paradoxically, when people say it out loud they may say what sounds like a contradictory statement:
‘Play on the off-beat.’
Which means strike the guitar strings when the off-beat, the and, the in-between the beat happens.
I am going to go in and correct the text on the lesson page.
Ta-dah …