Diane wrote, "My first daughter could not read when she turned 5 in March but by the end of that year she could read fluently, out loud, without pause or hesitation." And Kate wrote that her son, at age 9, "taught himself to read" in a period of just one month. In that time span he deliberately worked at reading, on his own, and progressed from being a hesitant, poor reader to highly fluent reading, well beyond what a standard school would have regarded as his "grade level."
My son, who is 6, is definitely learning math just from life. He is constantly asking me what 7 plus 3 is, or more complicated stuff. Sometimes I can tell it's related to something he's doing, sometimes I have no idea what it's connected to. He gets annoyed sometimes if we try and "teach" him, like trying to get him to count it out on his fingers. He just wants the info. He often amazes me by figuring out math in his head. One thing I've noticed is when we're driving in the car he's always watching the counter on the CD player.