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Claudia Zaslavsky is a mathematics teacher and the author of 13 books, including Africa Counts, More Math Games & Activities from Around the World, Multicultural Math, and Number Sense and Nonsense. She lives in New York City.
INTRODUCTION,
1: THREE-IN-A-ROW GAMES,
2: MANKALA: BOARD GAMES OF TRANSFER,
3: MORE BOARD GAMES,
4: GAMES OF CHANCE,
5: PUZZLES WITH NUMBERS,
6: PUZZLES WITHOUT NUMBERS,
7: GEOMETRY ALL AROUND US,
8: DESIGNS &8364; SYMMETRY,
9: REPEATING PATTERNS,
10: SELECTED ANSWERS,
BIBLIOGRAPHY,
A WORD ABOUT UNICEF,
Three-in-a-Row Games
All over the world children play some form of a three-in-a-row game for two players. Tic-tac-toe is one example of such a game. The object of the game is to be the first player to get three markers in a row on the game board. It seems that people were playing such games long before the time of your great grandparents.
More than one hundred years ago, scientists examining the rooftop of an ancient Egyptian temple found several strange diagrams carved in the sandstone slabs. They looked like this: Figure 0
It turned out that every one of these diagrams is used as a game board for a three-in-a-row game somewhere in the world! Did the ancient Egyptians really play such games? How could the scientists find out?
The temple was built 3,300 years ago to memorialize the king, Pharaoh Seti I. It stands in the town of Qurna. Royal tombs were built on the west side of the Nile River. This was where the setting sun entered the spirit world for the night, according to Egyptian beliefs. Ancient Egyptians believed that people would have a life after death and would need all the things that they enjoyed while they were alive. So the tombs contain many items that were important to them in life, like clothing, jewelry, tools, and even their pets!
The Egyptians painted the walls of their tombs and temples with the scenes from the lives of their kings and queens and other wealthy people. Game boards and carved game pieces for Senet and other games were buried with the mummies of important Egyptians. That's how we know about the games that these people played when they were alive. But no game boards for three-in-a-row games have been found inside the tombs, and no pictures of people playing such games appear on temple walls.
How did these diagrams come to be on the roof of the Pharaoh's temple? Probably the workmen who built the temple played three-in-a-row games on the stone slabs during their lunch break. Instead of drawing a fresh game board in the sand for each game, they carved permanent diagrams in stone.
You may wonder whether Egyptian children played these games. Perhaps fathers played such games with their children at home. But they probably drew game boards in the dirt outside the house and wiped them away when the game was over, leaving no trace.
From Egypt the games could easily have spread all over the world. Greek scholars traveled to Egypt for higher education, just as people nowadays go to college. The Romans, who probably learned the games from the Greeks, spread them when they conquered parts of Europe, the Middle East, and North Africa. By that time the Chinese had already been playing three-in-a-row games for centuries. Game diagrams carved on the tops of stone walls and the steps of important buildings can still be found in many parts of the world.
The first European picture of children playing a three-in-a-row game appeared in Spain more than seven hundred years ago in the Book of Games. In the picture two children sit on either side of a large board for a game called Alquerque de Tres. The Spanish name means "mill with three." The game board they used is just like the board for Tapatan (see page 6).
Arabic-speaking Moors came to Spain from North Africa in the eighth century. They taught the Spanish people how to play games like Chess and Alquerque. Later the Spanish king Alfonso the Wise had this information written down in the Book of Games. Soon these games spread to other parts of Europe and, later, to America.
Now you will have a chance to learn several three-in-a-row games that children play in other parts of the world. As you will see, some of these games are more complicated than Tic-tac-toe. But the object of the game is always the same — to be the first player to get three markers in a row.
Shisima from Kenya TWO PLAYERS
Kenya is a country in East Africa. Children in western Kenya play a three-in-a-row game called Shisima (Shi-SEE-Mah). The word shisima means "body of water" in the Tiriki language. They call the counters imbalavali or water bugs. Water bugs move so rapidly through the water that it is hard to keep them in sight. That's how quickly players of Shisima move their counters on the game board.
Children in Kenya draw the game board in the sand and play with bottle caps, pebbles, or buttons. You might also use coins. Just be sure that you can tell the difference between your counters and the other player's counters.
MATERIALS
• Sheet of unlined paper, at least 8 inches (20cm) square
• Pencil with eraser
• Compass, or about 10 inches (25cm) of string
• Ruler
• Scissors
• Glue
• Piece of cardboard, at least 9 inches (22.5cm) square
• Colored markers or crayons
• 3 counters for each player, of 2 different kinds (buttons, bottle caps, or coins)
DRAWING THE GAME BOARD
The game board has the shape of an octagon (eight-sided polygon).
1. Mark the center of the paper. Use a compass to draw a large circle. If you don't have a compass, attach a piece of string to a pencil. Hold the pencil upright near the edge of the paper. Extend the string to the center and hold it down there. Then draw the circle. Figure 1a
2. Draw a line, called the diameter, through the center of the circle.
3. Draw another diameter, so that the two lines form a cross. These two lines are perpendicular to each other.
4. Draw two more diameters, each halfway between the first two.
5. Connect the endpoints of the diameters with straight lines to form an octagon. Erase the circle. Figure 1b
6. Draw the shisima, or body of water, in the center. Erase the lines in the center.
7. Glue your game board to the cardboard and decorate with colored markers. You might want to draw a border around your game board.
PLAYING THE GAME
Place the counters on the board, as shown in the diagram. Figure 1c
Players take turns moving their counters one space along a line to the next empty point. They continue to take turns moving one counter at a time. A player may move into the center, the shisima, at any time. Jumping over a counter is not allowed.
Each player tries to make a row with his or her three counters. A row must go through the shisima. There are four different ways to make a row. This diagram shows three black counters in a row. Figure 1d
The first player to get all three counters in a row is the winner. If the same set of moves is repeated three times, the game ends in a draw — no winner or loser. It's time to start a new game. Take turns being Player One.
After a few games you may be able to move your counters as fast as the imbalavaliswim in the water.
THINGS TO THINK ABOUT
Is it a good idea to...
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