I think it's about right for babies to start smiling at 5-6 weeks. In a book I have it says that, in their second month, they should also recognise you and possibly gurgle or spueal and do 'pretend conversation' with you. Their eyes should be able to follow you around the room and their hearing should be better and they can recognise sounds they've heard before. From what I remember of ione, they start noticing their hands soon too. I used to catch her staring cross eyed at her hand in front of her face. And now she does the same thing with her feet. She's also starting to roll now and can get over onto her side.