1964, noun and verb, from skate (v.) on model of surfboard. The phenomenon began c. 1963 in southern California and was nationwide the following summer.
Skateboarding requires only a tapered piece of wood flexibly mounted on roller-skate wheels and a stretch of pavement -- preferably downhill and away from traffic. ["Life," June 5, 1964]
"(In skateboarding and snowboarding) a jump performed without the aid of a take-off ramp, executed by pressing the foot down on the tail of the board to rebound the deck off the ground", 1970s: from the name of the US skateboarder Alan ‘Ollie’ Gelfand, who invented the jump in 1976.