If we assume that Yoda isn't just referring to every single "youngling" (which he also refers to as "Padawan" in other instances in both AOTC and ROTS) as his Padawan (Ie: that Dooku was just another of many kids he taught), I wonder...
Who is Yoda's Padawan supposed to be in TPM... in AOTC... in ROTS?
Or does every Jedi Knight/Master need to take a Padawan?
How many Padawans are there? How many little ones does Yoda have to train? (the 8-12 we see in the movies only?)
There's canonically about 10,000 Jedi in the galaxy in the Prequel Era, but I still don't know if that only includes Knight level or above, or also these wannabe trainees.
Do their small numbers mean every Knight has to have a Padawan, or not?
Obi-Wan doesn't seem to have one after Anakin. Mace Windu doesn't seem to have one, etc. Or do they get time off between students?
I can understand them giving classes and whatnot, but the relationship between Qui Gon/Obi-Wan and Obi-Wan/Anakin implies to us that they hang around each other all the time and go on missions together, etc.