Digital recorder recommendations

As a beginner/novice I was wondering if a digital recorder might be helpful to have. My thoughts were to record at jams so that I could later practice along with those songs. I don't know many of the songs played and therefore it's hard to play tab and get the melody of the song. I don't read music.

I ask only because I've not seen others doing this and perhaps they know something that I don't. For those that use a recorder or think that this might be a helpful tool for learning, I would like your recommendations for a reasonably priced recorder.