Bird Man Mel offers a few tips for attracting beautiful but shy gold finches to your back yard. He discusses the type of feed (thistle) and finch feeders that you should use to attract goldfinches, as well as how to keep the seeds fresh. He discusses a few plants which you can add to your garden which will also aid in the finch attraction.
Video - Bird Man Mel's Attracting Goldfinches
great video with instructions on how to attract goldfinches to your back yard