Math games open an arena for strategic planning and reasoning, one of the NCTM Process Standards. Many games also provide practice in basic operations or problem solving, and all motivate the active participation we hope for in the classroom.

**The Maths File Game Show**

A collection of 12 interactive games that deal with basic concepts of mathematics: data handling, numbers, algebra, and measurement. Students can use order of operations to ensure that letters reach the right mailbox, compete in a test of fractions and percentages, and even guide a spaceship across Cartesian coordinates.

**Towers of Hanoi: Algebra (Grades 6-8)**

An online version of the ancient Towers of Hanoi puzzle, featuring three spindles and a graduated stack of two to eight discs, as decided by the player, with the largest disc on the bottom. The challenge is to move all discs from the original spindle to a new spindle in the smallest number of moves possible while never placing a larger disc on a smaller disc. By observing the pattern of number of discs to number of moves, students can generalize the relation and answer the question “What if you had 100 discs?”

**Traffic Jam Activity**

Why the jam? There are seven stepping stones and six people. Three stand on the left-hand stones and three on the right-hand; all face center. Everyone must move so that the people on the right and the people on the left pass each other, eventually standing on the side opposite from where they started. But no two people may stand on the same stone at the same time! This problem requires reasoning, but its solution also reveals a pattern that leads to an algebraic expression. A lesson plan is provided.

**Clever Games for Clever People**

Here are 16 strategy games from the book *On Numbers and Games* by mathematician John Conway. Each develops those critical thinking skills so valued in math. As for materials, only paper and pencil or, occasionally, crayons or a checkerboard, are needed. Game rules and setup are clearly described and illustrated for each game.

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**Middle School Portal 2**publications. You can also email us at msp@msteacher.org. Post updated 11/18/2011.

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