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See Doron Zeilberger's page where he provides the proposals for several of his (approved) grants:

http://www.math.rutgers.edu/~zeilberg/grants.html

For another example, see

SCREMS: The Computational Frontiers of Number Theory, Representation Theory, and Mathematical Physics

(it was awarded: see here)

By the way, this presentation also could be of some use:

Writing an NSF Proposal: a PI's and a panelist's perspective

as well as the Notices article

NSF Proposal Preparation: The View of an Ex-Program Officer

mathphysicist
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