caminar, verb:

to walk

We tend to use automobiles so much we might be in danger of forgetting one of humankind’s basic activities: caminar to walk.

Caminando por la calle yo te vi.
When I was walking down the street I saw you.

Caminando por la calle is the title of a flamenco-style song by the Spanish band The Gipsy Kings.

Hemos venido caminando.
We walked here.

From the idea of walking comes the idea of a less literal moving or heading towards:

El gobierno caminaba hacia la dictadura.
The government was heading or moving towards a dictatorship.