He is basically saying that for each battle, your character gains these "invisible" points towards your characters job levels for every action (turn) you take in a battle. The left side being how much that job earns under level 14 I believe and the right side being how much they earn after level 15.
For example, your team setup is a Ninja, Thief, Devout, and Summoner. The Ninja throws a shuriken, Devout casts cura, Thief steals, Summoner casts leviathan. Each gains that job level point (20 for being under level 14, "said amount" for being over 14") for that turn they attacked, cast, used an item or defended.
Now saying that here is another instance. Say you punched in all those commands but your Devout wasn't fast enough for that cura and your enemy knocked down you summoner before he/she could cast. Though you punched in that command for your summoner, he/she won't get that job level point for that turned because that character did not "act" that turn.
Simple enough? Oh there is a way to "Cheat" ( I don't think it is because the way I see it If I get into a battle and win I deserve that to gain a job level no matter how I do it) this job level gain aside from your characters levels through experience points. You can guard (aside from a Thief because that action is replaced with Steal) each turn to gain said job level points and actually gain a job level each fight you encounter. It makes your characters more proficient earlier on in the game and actually makes the game a lot easier.
I didn't do this until after getting the Invincible because to me around this time, this is when FF III kicks it up a notch and a lot more enemies can act x2 in one turn. This is when the game starts getting brutal and if your characters job levels aren't up to par or your trying to experiment with a new job and your characters levels aren't that high, your toast. So far I have a Thief job level 40, White Mage job level 73, Dark Knight job level 30, and a Black Mage job level 77 (yeah I trained hard).
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