As far as I can tell, the entire point of this anime is being random and sometimes cute. While this isn't necessarily bad if done well, Paniponi Dash seems to lack any sense of pacing or coherency to hold it together. It's just a mishmash of scenes thrown together with little explanation or purpose.
The action revolves around a few classes at some school. Class C has a new teacher, but she's late and cute and little and smart! In fact, she graduated from MIT at 11! Even though she can't say Massachusetts very well (which is very cute, as Momotato says). Anyway, her name is Rebecca so they spend the morning thinking of ways to abbreviate it (Becky wins) and then the afternoon being mean to her so that she hides behind the curtain. That's pretty much it!
I'm not really a big fan of the art style used in Paniponi but that's really not what turned me off. I just didn't think a lot of the jokes were that funny, and the random skipping around really got to me. Maybe the anime format isn't the best place for this title, but I just couldn't get into it at all. :/