“…toward or towards?

In U.S. English, toward is the usual form but in British English towards is more common. The same principle applies to afterward/afterwards and to some other adverbs of direction that end in -ward, for example, backward/backwards and outward/outwards. Upward, as in moved upward, and upwards, as in increases upwards of 10 percent, are also standard. Note that related adjectives of direction always end in -ward, not -wards, as in a backward glance or an upward trend. The adverb forwards is a seldom used variant of forward in U.S. English, and the -wards spelling of it is never used as a standard U.S. English adjective.”

“I walked towards the man”

And toward would be past:

” A cat walked toward the bowl lying on the floor”