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.

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.

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

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

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.

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.

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.

A game for 2 players with similaritlies to NIM. Place one counter on each spot on the games board. Players take it is turns to remove 1 or 2 adjacent counters. The winner picks up the last counter.

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

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

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

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

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.

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

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

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

Who said that adding, subtracting, multiplying and dividing couldn't be fun?

Spiralling Decimals game for an adult and child. Can you get three decimals next to each other on the spiral before your partner?

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.

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

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

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

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?

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

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

A game for 2 players that can be played online. Players take it in turns to select a word from the 9 words given. The aim is to select all the occurrences of the same letter.

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?

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

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

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?

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

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

Try this matching game which will help you recognise different ways of saying the same time interval.

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

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.