Ah ha, growing it indoors is good for keeping it cool, but going to be a bit tough through the summer as you're probably running a/c now. They like cool, but also humidity.
I'd start watering it really well, once a day rather than lightly twice. Hold it over the sink and run the water through until it flows out the bottom.
Still, you do need to keep it out of the direct sun. Can you hang it in the kitchen or the bathroom? They're the most humid places in most homes. If not, hang up something to shade it from the direct sun in the window where it's been. But it still may be getting too hot.