Well, DD just turned 5, and the only thing we've been working on is counting, while I struggle to find a curriculum that works for us (thus this post). I really appreciate all the links and suggestions - I'm slowly going through all the links.
I especially appreciate the montessori videos. They are really helpful. I'm not so scared of the trinomial cube anymore
Yesterday in the car DD said, "Mama, what is five plus one?" I suggested she try counting on her fingers. She said, "Six!" I was amazed that she'd figured it out.
Then she said, "Mama, what is 10 plus 1?" Since we were in the car, I said I'd show her how to figure that out when we got home. But she said, "I'll count on my fingers" and I thought that wouldn't work because she only has ten fingers, but didn't say anything. Then she announced, 'Its eleven!"
She went on to add 10 plus 2, then 10 plus 3, then 10 plus 4, and got them right (I couldn't see how she was doing this, being the driver).
Then she says, "mama, what is 10 plus 10?" so I said "let's figure that out with pennies when we get home".
I hear her muttering back there then a few minutes later she announces "2 tens are 20. Three tens are thirty. Four tens are forty."
I'm not sure where she is at with math. It seems to me she's figuring stuff out without any help, so I wonder how much more she might enjoy doing with help. I'm starting to think maybe the problems we had with Singapore might have been that the material was too easy, not too hard. Maybe I should try to move up in the workbook? But I'm worried about not establishing the basics before moving too far. I'm not even sure what the basics are at this age.
Wish I could peer into her brain and see whats going on in there... then I might have a better idea where to start with her.