We went hiking once, and Rachael, in underwear, REALLY had to go, and there was NOWHERE for her to go. It was too public for her to even go behind a bush! So I finally put one of Faythe's diapers on her, told her to go ahead and go in THAT, and then changed her back into her underwear.
Two of my girls were potty trained by 2. My last dd was 26 months, but my ds (the oldest) was 3 1/2. I didn't force any of my girls. They all showed signs of readines, and my dd5 potty-trained herself. Jackie, I've done the diaper thing, too. Several times when we were on the road and one would yell "I've gotta potty!" and there was no exit in sight! Now we have none in diapers, so I have to really enforce going to potty when there is a chance!
Some kids train themselves really early (Sami did at 1). But Sami has this drive I don't really understand... She wanted so badly to write at 2 1/2 . I'm learning to just let her be, with her drive she learns better if I stop freaking out all the time. LOL Anyways I have a book to reccommend for your 3 yo for math. It has math games that help them understand quanity really well. I played the games from just the first few pages with Sami and she got numbers so well she was subtracting in her head when I hadn't explained subtraction yet. I only used the first chapter so far.. no workbooks from it or anything. Sami and the otehr pre-schoolers that come around here think the game is fun too.
I attended public school up to the end of 9th grade. A lot of my beliefs had changed for the better in my 9th grade year and I found that I could not try to better myself as a person with the type of friends I had around (peer influence is not some made up theory like some wish to say) and the type of stuff they did. So I basically forced my parents to accept the idea of homeschooling. At that time it was through a charter school but I had the teacher visit me and I also got to study side subjects and incorporate my beliefs into my papers. So after experiencing public school first hand and then realizing it wasn't going to work for me if I wanted to be morally better, I decided to go against my parents wishes and due to not going to school for the first weeks of 10th grade they finally signed the papers. : )