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.

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. . . .

A game to be played against the computer, or in groups. Pick a 7-digit number. A random digit is generated. What must you subract to remove the digit from your number? the first to zero wins.

Some Games That May Be Nice or Nasty for an adult and child. Use your knowledge of place value to beat your opponent.

Shut the Box game for an adult and child. Can you turn over the cards which match the numbers on the dice?

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

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.

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

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

Can you make the birds from the egg tangram?

Throw the dice and decide whether to double or halve the number. Will you be the first to reach the target?

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

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 two or more players that uses a knowledge of measuring tools. Spin the spinner and identify which jobs can be done with the measuring tool shown.

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.

An article for teachers and pupils that encourages you to look at the mathematical properties of similar games.

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 article invites you to get familiar with a strategic game called "sprouts". The game is simple enough for younger children to understand, and has also provided experienced mathematicians with. . . .

A game for 2 or more players with a pack of cards. Practise your skills of addition, subtraction, multiplication and division to hit the target score.

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

Take it in turns to place a domino on the grid. One to be placed horizontally and the other vertically. Can you make it impossible for your opponent to play?

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

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

There are nasty versions of this dice game but we'll start with the nice ones...

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

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

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

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

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

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

Got It game for an adult and child. How can you play so that you know you will always win?

Factors and Multiples game for an adult and child. How can you make sure you win this game?

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

Strike it Out game for an adult and child. Can you stop your partner from being able to go?

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