URL Rewriting / redirecting for ASP Classic pages to ASP.NET page

I have old asp classic pages, say

http://www.mysite.com/oldaspclassic.asp

I have moved that content to asp.net and want the page to go to the new asp.net page. However, google and other spiders have my hundreds of pages already spidered so I don't want to lose the search results from the search engines.

What do you recommend for my having the old .asp classic pages retained in the search engines, but redirected or url rewritten to the new.aspx page?

Is urlrewriting the best thing? Does that even work with rewriting an asp classic page to an .aspx page? Or should I redirect and hope google just respiders and picks up everything without a search engine loss?

thanks.