If I understand well, you connect your digital camcorder to a standalone DVD recorder. If you used DVD-R or DVD-RW on your standalone DVD recorder, then you have to finalise them first, in order to be read from your PC drive or any other DVD player. The procedure depends on your DVD recorder, but usually there is an option in the menu, saying "finalise" or "close" disc or something relevant.
How do you connect the camcorder to the DVDrec? Is there a firewire input in your DVDrec? If so, use this.
Also, you can check if there is a firewire port in your computer. If you plan to transfer your recordings to PC for further editing, I think it is worth buying one. It is not expensive at all. This way you can transfer your dv recordings to PC, edit them and author a DVD out of it. You are going to need a lot of free space in your hard disc though. About 10 GBs per one hour of recorded material.