Goodrum studied at the Sydney College of the Arts and works as an industrial designer. He was selected as the "Sydney Morning Herald" "Young Designer of the Year" in 1997 and the the winner of the Bombay Sapphire Design Award in 2004. His "Stitch Chair" (1994) was put into production by the Italian manufacturer Cappellini in 2008. In 2012, he is developing a furniture line for the Melbourne-based manufacturer Tait.