Problems with intermitent internet problems

I have a Core Duo black macbook running tiger. All of the sudden for whatever reason, my internet will stop working, but there is more to it than that. When I first start my machine up the internet works great. I'll be streaming music and surfing the web and all of the sudden web pages will stop loading. The music or anything that was streaming at the time will continue without hiccup, but web pages won't load. Restarting firefox or switching to Safari doesn't remedy the problem. The wireless icon in the top bar is full and connected. The only thing that remedies the problem is turning airport on then off. Can't even log into the router through a web page while this is happening. Normally I would think it would be a problem with interference or something of that nature, but streaming music and video works fine when this problem occurs. This hasn't happened to any other computer on the network. Any ideas?