Some USB ports on your computer may not put out enough power, the iPad likes high power USB ports. It should still be charging even it says it isn't just at a slower rate. This should help explain http://www.neowin.net/news/the-ipad039s-usb-charging-caveat
The iPad is a swimming pool and your USB connection is a garden hose. As long as the screen is on the drain is partially open and will empty about as fast as water goes in. Close the drain and it will fill slowly. If you want to fill it up fast you need to connect it to a fire hose (the supplied iPad 10W wart).