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.

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

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.

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

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.

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. . . .

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 somewhat similar to 'noughts and crosses' on a much larger space.

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

The aim of the game is to slide the green square from the top right hand corner to the bottom left hand corner in the least number of moves.

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

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

A game for 2 players. Given a board of dots in a grid pattern, players take turns drawing a line by connecting 2 adjacent dots. Your goal is to complete more squares than your opponent.

This is a game for two players. Can you find out how to be the first to get to 12 o'clock?

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

Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.

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

A game for 1 person. Can you work out how the dice must be rolled from the start position to the finish? Play on line.

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.

Take turns to place a decimal number on the spiral. Can you get three consecutive numbers?

Can you work out how to win this game of Nim? Does it matter if you go first or second?

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

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.

This article for teachers describes several games, found on the site, all of which have a related structure that can be used to develop the skills of strategic planning.

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

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. . . .

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?

An extension of noughts and crosses in which the grid is enlarged and the length of the winning line can to altered to 3, 4 or 5.

Everthing you have always wanted to do with dominoes! Some of these games are good for practising your mental calculation skills, and some are good for your reasoning skills.

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.

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?

A game for 1 person to play on screen. Practise your number bonds whilst improving your memory

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?

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

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...

A game for two players. You'll need some counters and somewhere to draw a board.

Exchange the positions of the two sets of counters in the least possible number of moves

An activity based on the game 'Pelmanism'. Set your own level of challenge and beat your own previous best score.

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

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