This article supplies teachers with information that may be useful in better understanding the nature of games and their role in teaching and learning mathematics.

In this article for teachers, Liz Woodham describes the criteria she uses to choose mathematical games for the classroom and shares some examples from NRICH.

Not all of us a bursting with creative game ideas, but there are several ways to go about creating a game that will assist even the busiest and most reluctant game designer.

This article, the second in the series, looks at some different types of games and the sort of mathematical thinking they can develop.

Basic strategy games are particularly suitable as starting points for investigations. Players instinctively try to discover a winning strategy, and usually the best way to do this is to analyse. . . .

Gillian Hatch analyses what goes on when mathematical games are used as a pedagogic device.

Totality game for an adult and child. Be the first to reach your agreed total.

This is a game for 2 players. Each player has 4 counters each, and wins by blocking their opponent's counters. A good follow-on from two stones.

In this game you throw two dice and find their total, then move the appropriate counter to the right. Which counter reaches the purple box first? Is this what you would expect?

Design your own scoring system and play Trumps with these Olympic Sport cards.

A game for 1 person to develop stategy and shape and space awareness. 12 counters are placed on a board. Counters are removed one at a time. The aim is to be left with only 1 counter.

Advent Calendar 2010 - a mathematical game for every day during the run-up to Christmas.

Here are a collection of games from around the world to try during the holidays or the last few weeks of term.

You'll need two dice to play this game against a partner. Will Incey Wincey make it to the top of the drain pipe or the bottom of the drain pipe first?

A game for 2 players. Draw a daisy with at least 5 petals. Shade 1 or 2 petals next to each other. The winner shades the last petal.

A game for 2 people that everybody knows. You can play with a friend or online. If you play correctly you never lose!

A game for 2 players. This could be played outside with people instead of counters. Try to trap or escape from your opponent.

The game uses a 3x3 square board. 2 players take turns to play, either placing a red on an empty square, or changing a red to orange, or orange to green. The player who forms 3 of 1 colour in a line. . . .

This is a challenging game of strategy for two players with many interesting variations.

First Connect Three game for an adult and child. Use the dice numbers and either addition or subtraction to get three numbers in a straight line.

A shunting puzzle for 1 person. Swop the positions of the counters at the top and bottom of the board.

The idea of this game is to add or subtract the two numbers on the dice and cover the result on the grid, trying to get a line of three. Are there some numbers that are good to aim for?

Can you make the birds from the egg tangram?

A game for 2 people. Take turns placing a counter on the star. You win when you have completed a line of 3 in your colour.

A game for 2 players. Using 2 dice, some counters and a games board, can you form a line of counters from one side of the board to the other?

Board Block Challenge game for an adult and child. Can you prevent your partner from being able to make a shape?

Nim-7 game for an adult and child. Who will be the one to take the last counter?

The computer starts with all the lights off, but then clicks 3, 4 or 5 times at random, leaving some lights on. Can you switch them off again?

An ordinary set of dominoes can be laid out as a 7 by 4 magic rectangle in which all the spots in all the columns add to 24, while those in the rows add to 42. Try it! Now try the magic square...

Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.

A game to make and play based on the number line.

Train game for an adult and child. Who will be the first to make the train?

Board Block game for two. Can you stop your partner from being able to make a shape on the board?

A game for 2 players. Can be played online. One player has 1 red counter, the other has 4 blue. The red counter needs to reach the other side, and the blue needs to trap the red.

A game for 2 players. Take turns to place a counter so that it occupies one of the lowest possible positions in the grid. The first player to complete a line of 4 wins.

Four Go game for an adult and child. Will you be the first to have four numbers in a row on the number line?

Take it in turns to make a triangle on the pegboard. Can you block your opponent?

Use the tangram pieces to make our pictures, or to design some of your own!

Incey Wincey Spider game for an adult and child. Will Incey get to the top of the drainpipe?

A game for 2 people using a pack of cards Turn over 2 cards and try to make an odd number or a multiple of 3.

Work out the fractions to match the cards with the same amount of money.

A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.