[CivilWarBrewing]

"That's one small step for a man, one giant leap for mankind."

[Windflier]

“That’s one small step for a man, one giant leap for mankind.”

Yep. The way Neil said it makes no grammatical sense.

[dr_lew]

"That's one small step for a man, one giant leap for mankind."

That's exactly what he said, even if it didn't come out that way. You can hear "fer-a man" if you're inclined to, and I believe he did say that's what he said. I heard it. I was never confused.