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

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.

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

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.

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. . . .

Here is a solitaire type environment for you to experiment with. Which targets can you reach?

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

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

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

Practise your diamond mining skills and your x,y coordination in this homage to Pacman.

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.

This pair of linked Sudokus matches letters with numbers and hides a seasonal greeting. Can you find it?

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

A game in which players take it in turns to try to draw quadrilaterals (or triangles) with particular properties. Is it possible to fill the game grid?

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 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.

Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.

A game for 2 players. Given an arrangement of matchsticks, players take it is turns to remove a matchstick, along with all of the matchsticks that touch it.

This is a game for two players. You will need some small-square grid paper, a die and two felt-tip pens or highlighters. Players take turns to roll the die, then move that number of squares in. . . .

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.

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 simple game of patience which often comes out. Can you explain why?

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. . . .

A game for 2 or more people. Starting with 100, subratct a number from 1 to 9 from the total. You score for making an odd number, a number ending in 0 or a multiple of 6.

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 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. 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.

Dicey Operations for an adult and child. Can you get close to 1000 than your partner?

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

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.

In this matching game, you have to decide how long different events take.

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

In this game for two players, you throw two dice and find the product. How many shapes can you draw on the grid which have that area or perimeter?

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

Square It game for an adult and child. Can you come up with a way of always winning this game?

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

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

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

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

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

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 make the birds from the egg tangram?

Here is a version of the game 'Happy Families' for you to make and play.