A hand-held recorder that allows you to videotape your kids soccer match onto a tape and watch the replay of the video on the same device is an example of a camcorder.
Origin of camcordercam(era) + (re)corder.
camcorder - Computer Definition
(CAMera reCORDER) A combination video camera, recorder and player in one unit. Prior to camcorders, the camera and tape recorder were separate devices that were cabled together. In 1983, Sony introduced the Betamovie, the first camcorder, which used half-inch analog Betamax videotape cassettes. However, the cassette had to be removed and inserted into a separate videotape player for viewing. Subsequently, camcorders were designed to play as well as record. Today, all video cameras are digital camcorders that record onto flash memory cards, DVDs, hard disks or tape cassettes. See SD formats, HD formats, DTV and digital camera.