Is my daughter advanced? she'll be three next month.?

She was potty trained at 11 - 12 months. She started really talking when she was 1 year 6 months. Not just small speech like "a big dog". She's talking like "the big dog outside is brown and big and he looks hungry." Also she remembers thing even if they only happen once. For example when we took her to a restaurant once. she she was around 18 months she still remembers where it is and what we ate. She paints circle, happy faces, witches, flowers all sorts of stuff. I'm just curious as if this places her on a higher level than other kids. she'll be three next month. She plays music on her own and really listens, she loves to dance.( we're going to place her in ballet classes). She mastered the Ipod touch when she was about 1year 6months old also. She was dressing her self when she was 2. I'm not exaggerating these behaviors. So my real question is, how can I advance her even further. When can I start showing her math and algebra and history and science? oh and she also knows english and spanish. But I want to get her into at least one more language.