How to map SPACE to :next at "Press ENTER" prompt?

Hello,

Background: I am editing multiple files and I would like to move to the next file (:next) after running a command that leaves me at the "Press ENTER or type command to continue" prompt.  I can do this by typing 

   :next

but I would like to use a keymapping to make it faster.  (I'm actually teaching a five day class and I'm showing a lot of files in vim, a sort of "vim slideshow" if you will).

My .vimrc contains:

   map <SPACE> :next<CR>

and this works while I'm editing a file, but if after I run a command, I get the "Press ENTER or type command to continue" prompt, and when I press SPACE there, vim pops me back in the edit buffer FOR THAT SAME FILE.

How can I make the mapping of SPACE to :next effective at the "Press ENTER" prompt?

I read :help mapmode and tried the following but alas they all have the same behavior as "map" (pop me back in the same file):

omap <SPACE> :next<CR>

nmap <SPACE> :next<CR>

vmap <SPACE> :next<CR>

cmap <SPACE> :next<CR>

imap <SPACE> :next<CR>

Best,

Aleksey

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