PixyMania
Help yourself...
I don't get "Pixy" or "Pixie." It doesn't say anything about education, learning, multimedia, etc. To me, it suggests fairy, elf, small, or toy-like. I'd really suggest something that better describes your concept.
Still, OK. Let's try your idea.
Pixelation (Combines "pixie" without the "i" with "elation" meaning joy or happiness. The word itself is a computer graphics term, thus suggesting technology and multimedia.)
Pixylation (Same concept as above. Just spelled with a "y."
Pixielation (Same concept as above, with the full word "pixie" spelled out.)
Picselation (Same concept as above. Here, it's pronounced "pix..." but the front part of the word is a shortened form of the word "picture.")
And here's how it might look as a logo. The first one suggests a book/education. The second one plays on the concept of pixelization.
Hope that helps.

If "Pixie" hasn't been taken yet, then use it. Or maybe "pixisoft"...
I like the Pixies, great band...
Catchy names are good. It is also important to pick a name that doesn't explicitly define what you do... because what you do may change over time.
If you went with "PixyTeach"... then you may have to abandon that name one day if your company was not focused on educational software... it may happen, 3 years can see a company turn into something completely different in order to survive.
Well I am amused by your first names. There are actually okay. But, when i saw this, a couple of great names came to mind:
PixyDust
PixyS***
PixyB****
PixyDoorknob
PixyTaco
PixyTable
PixyButter
PixyToilet
PixyPasta
That's about it
Hope I helped
ADDITIONAL DETAILS:
Okay to be honest PixyDust is actually not bad.
Hi,
I am developing a company that works in the field of creating rich multimedia self-teacher apps to teach medicine , computer ,other kind of science, etc .
So I find this word Pixie or Pixy that is awesome to be a part of my company's name .
I choose PixySmart , PixyTeach what do you recommend also any idea you know , Pixy(what?)
?
Thanks for your creative eye caching ideas !