应是how about going doing sth
How about going swimming 去游泳怎么样?
How about going shopping?去购物怎么样
How about watching TV?
how about 后面始终要跟动词的ing形式
How about going doing sth之中的going doing往往是固定搭配go boating
go skating ,go hiking,go fishing.它们用到how about 的后面时由于about是介词go也要变为going 的形式