## Introducing Nim

Have you ever been sitting with your child at the doctor’s office or a restaurant table and he or she is getting increasingly squirrelly?  Have you ever wished that you had something simple at your finger tips to entertain yourself and your child while you wait?  Well then, I have very good news for you!  This week we learned a wonderful game that has been played around the world for many generations.  It is called Nim.  Here is what you will need:

a group of small objects

That’s it.  The small objects can be anything.  We used acorn caps, bottle caps, counting bears, buttons, baubles, rocks, and markers.  You could use sugar packets, toothpicks, pine cones, or what ever else you have on hand.  The number of objects can also be varied if necessary. If you decide to do any research regarding this game, you’ll find that there are as many ways to play it as there are cultures on the Earth.  We decided to start with a line version using 20 small objects.

Our rules are as follows:

1. Place all of your small objects in a straight line.
2. Take turns collecting pieces from the line.
3. You may pick up 1, 2, or 3 objects.
4. The other person takes a turn and may pick up 1,2, or 3.
5. The person who picks up the last piece loses.

The point of this game is to eventually develop a strategy that will ensure that you will not end up with the last object.  However, much like playing tic-tac-toe with four and five-year olds, you might not see much forward thinking at this point.  Don’t worry about spending lots of time talking about how to make a strategy and how to win.  Instead, simply play, have fun and occasionally verbalize your own thinking before you make a play.  It will take lots of practice before the children will begin to plan future moves.  The good news is that this kind of practice is much more playful than “drillful” and can be played with practically any materials on hand.

## Measuring Up!

We had a shoe extravaganza this afternoon!  We each took off one shoe and tossed it into a giant shoe pile.  The children then helped me figure out what kinds of shoes we had.  We made a list of the different types on a large sheet of paper and sorted them into the appropriate groups.  Then, we realized that there were other ways to sort them as well.  We sorted by color, by size, and by the presence of tongues.

Our next task was to use the shoes to measure our friends.  Each took a turn lying on the carpet while a friend lined shoes up beside them to see “how many tall” we were.  Almost all of us were either 5 or 6 shoes long.  We recorded our investigation by drawing a picture of the person we measured along with the appropriate number of shoes.