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][1] (it was awarded: see [here][2]) By the way, this presentation also could be of some use: [Writing an NSF Proposal: a PI's and a panelist's perspective][3] as well as the *Notices* article [NSF Proposal Preparation: The View of an Ex-Program Officer][4] [1]: http://modular.math.washington.edu/grants/screms/ [2]: http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0821725 [3]: http://math.ou.edu/~profdev/nsfprop_web.pdf [4]: http://www.ams.org/notices/200709/tx070901153p.pdf