Beginner Gardening: help to identify and take care of my first plant, 1 by pablo_b

pablo_b wrote:
I am very new on keeping houseplants and this was the first one I got about a year ago (I know it doesn't look that good now, but it suffered the misfortune of having me learning with it). I moved to a new place by September and I put the plant next to a west window. I water it about twice a week (just a little bit since I almost killed it once for watering it too much). I was happy about a month ago since many new leaves started to show, however recently the small new ones just started to wrinkle and fall down and the old ones got this purplish/brownish color on the top of the leaves and seem to start "wrinkling" as well. Please let me know if you know the name of the plant and specially what do I need to do to take care of it.
Thanks!