"walking with heavy steps," 1839, probably via French, a modern scientific compound from Latin gravis "heavy" (from PIE root *gwere- (1) "heavy") + gradi "to walk" (from PIE root *ghredh- "to walk, go").

1966, "a walking on the moon," from moon (n.) + walk (n.). As a dance move in which the dancer  moves backward while appearing to walk forward it was popularized 1983 by Michael Jackson. 

"affectedly dainty, simpering," 1520s, probably originally in reference to speech, when words were "clipped" to affect elegance; or in reference to walking with short steps; present-participle adjective from mince (v.). Related: Mincingly.

"act of walking about," 1570s, from Latin ambulationem (nominative ambulatio), noun of action from past-participle stem of ambulare "to walk, go about" (see amble (v.)). The word was used earlier in reference to the spread of disease (1540s).

1560s, "a leisurely walk, a walk for pleasure or display," from French promenade "a walking, a public walk" (16c.), from se promener "go for a walk," from Late Latin prominare "to drive (animals) onward," from pro "forth" (see pro-) + minare "to drive (animals) with shouts," from minari "to threaten" (see menace (n.)).

Meaning "place for walking" is from 1640s; specifically "walkway by the sea" (from late 18c.); British sense of "music hall favored by 'loose women and the simpletons who run after them' " [The Observer, Jan. 18, 1863, in reference to the Alhambra in Leicester Square] is attested from 1863. Sense of "a dance given by or at a school" is from 1887.