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.
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.
A game for 2 people. Take turns joining two dots, until your opponent is unable to move.
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. . . .
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
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.
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
Can you beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
Try this interactive strategy game for 2
Can you identify the mathematicians?
An article for teachers and pupils that encourages you to look at the mathematical properties of similar games.
A Sudoku with clues given as sums of entries.
Can you work out how to win this game of Nim? Does it matter if you go first or second?
Solve this Sudoku puzzle whose clues are in the form of sums of the
numbers which should appear in diagonal opposite cells.
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.
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 two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.
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.
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?
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
A game that tests your understanding of remainders.
A collection of games on the NIM theme
Advent Calendar 2010 - a mathematical game for every day during the
run-up to Christmas.
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
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.
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. . . .
Here are a collection of games from around the world to try during the holidays or the last few weeks of term.
A maths-based Football World Cup simulation for teachers and students to use.
Use the tangram pieces to make our pictures, or to design some of
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 two players on a large squared space.
We think this 3x3 version of the game is often harder than the 5x5 version. Do you agree? If so, why do you think that might be?
A card pairing game involving knowledge of simple ratio.
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?
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?
Unmultiply is a game of quick estimation. You need to find two numbers that multiply together to something close to the given target - fast! 10 levels with a high scores table.
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
Try this matching game which will help you recognise different ways of saying the same time interval.
All you need for this game is a pack of cards. While you play the
game, think about strategies that will increase your chances of
This is a challenging game of strategy for two players with many interesting variations.
Take it in turns to make a triangle on the pegboard. Can you block your opponent?
Can you make the birds from the egg tangram?
A train building game for 2 players.
A complicated game played on a 9 x 9 checkered grid.
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. 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