Hello, i too have recieved a Glacier that doesn't charge when plugged into the wall or computer. BUT, i have found a way to get the glacier to recognize low battery and charge...found it basically by screwing around.
It worked for my completely dead battery, hopefully this will help you guys out to and save you your hard earned money!
1: turn the power switch to the "ON" postion...if your glacier dies its okay
2

lug the USB cord into your glacier and computer.
3: wait till you see the "Connections/Connected" screen( picture of a computer and your MP4 player)
4: Press and HOLD the "M" button (MENU button); hold it till it goes to the Glaciers menu with the options for music, radion, text, games,ect....move and select "Radio"
5:wait till the radio menu opens and look at the upper right corner of your screen - where the battery symbol is located...if done correctly you should see the battery in a "charging animation"...or for those not familiar with this it basicaly the battery fills up then goes blank than fills up again.
6: If you see this animation, this means your Glacier is charging. charging time will vary depending on where the level of your battery is. ( mine took about 2-3 hours to get from a empty to full state)
7: now just sit it out or walk away and do something else....come back and enjoy beautiful music!.
i havent tried this with the wall jack, but i'm quite sure it will work because the concept is the same.
hopefully this helped you guys and gals, it worked for me!
PM me if you have anymore questions.
Later!