Math for seven-year-olds
Interesting co-incidence. Just last week, I sent out an email to my friends, saying that I want to teach mathematics to their kids by a math-by-email service, kinda like the chess-by-email of the old days.The idea is quite simple: I will send out a daily email with a grade appropriate set of math questions and/or games. Your child provides the answers back by email. I check the answers, provide corrections/feedback. And the next day's worksheet is customized to the child's history. If there is an interest, I could follow the child all the way from pre-K to graduate level Math subjects. Think about that -- wouldn't it be awesome if when you are getting your PhD, you could look back over 20 years of daily problems you solved and how you progressed in your conceptual understanding?Naturally, you want to balance the gaming aspect with the rigorous aspects. You can start learning Graph Theory with diagram filling, but as you get more serious, there is no substitute to solving several hard problems to get a deeper/intuitive understanding of the concepts. There is no question that people learn different ways, some visually, others through games, and others through mental modeling. I am convinced that if we could tailor math teaching to each kid, we could get rid of the stigma that "Math is hard", or, worse, "Girls can't do Math".Math, as I say, is a contact sport, not a spectator sport. You have to grab a pencil and a piece of paper to work on 20-30-40 harder and harder problems to master each concept. But to learn new concepts, you also have to cross the significant hurdle of climbing the first few rungs of each concept, so to speak. So let's learn by balancing games and theory.