Is there a good math website for a 3-year-old?

 Experience has taught me that there are many parents of young children who are already worried about SAT scores and college admissions. Some of you may find you way to this blog. This post is for you. I originally wrote it in response to a question on Quora. I decided to be lazy and let it do double duty. :)

A parent recently asked, “What is the best online math site for an advanced 3-year-old?”

This is my response:

Please don't put your 3-year-old in front of a computer to learn math. Even the best websites are heavily computation oriented and an advanced student will pick that up naturally without a website.

Ideally you would be able to find a math circle that includes young children, but if not, play games! Work puzzles!  If you don't have time to do this with your child, hire an advanced high school or college student to come over a couple of times per week.

Some great games and puzzles:

Chess

Towers of Hanoi

Set

Tangrams

Parcheesi

Mastermind

Rummikub

Labyrinth

Yahtzee

the chips game (which you can read about here)

When you are playing together, think out loud during your turns. Model the problem solving you want her to learn. Handicap yourself so that the games are about even and praise effort, progress and creative thinking.

While an online math site may teach your child to add and subtract earlier than her peers, this will not give her an advantage in the long run.  Furthermore, expecting a website to fill in for hands-on experience could lead to a Sandbox Deficit. Experiencing the world and interacting with intelligent, articulate adults will have a far more lasting impact in the long run. 

Book review: Math From 3 to 7

I am thoroughly enjoying Math From 3 to 7 by Alexander Zvonkin.  From the back cover:

"This book is a captivating account of a professional mathematician's experiences conducting a math circle for preschoolers in his apartment in Moscow in the 1980's."

The author kept a journal in which he described the activities he did with the children and the results - both success and failures. At the request of friends and colleagues, he edited the journal for publication. This volume is the English translation of the edited work.

I find this book fascinating on a number of levels.  First, the Forward to the American Edition describes ways in which Eastern Europeans approach math education and describes the concept of a "math circle." Apparently there are a few math circles here in the US, particularly in university towns, but it is definitely phenomenon that needs to spread.

Next, I enjoy reading about the puzzles and activities he does with the children.  The activities look like a lot of fun, and I would like to try them out. Since I no longer have young children of my own, I am considering kidnapping other people's children so I can do these activities with them.  (I would only kidnap them temporarily.  Their parents can have them back when they get tired and fussy.  :)) Many of the activities could even be extended to be appropriate for older children - even teenagers.  I would recommend this book to elementary and middle school math club advisors.

Last, I am very interested to see which concepts the students grasped and which they struggled with. In several instances you can see Piaget stages illustrated. In editing his journal, the author added some thoughts on cognitive psychology which I have enjoyed.

I wish I had read this book before I had kids.  I recommend it for anyone who lives or works with children under the age of 12.