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. . . .
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
Square It game for an adult and child. Can you come up with a way of always winning this game?
A game for 2 people. Take turns joining two dots, until your opponent is unable to move.
Two sudokus in one. Challenge yourself to make the necessary
This second Sudoku article discusses "Corresponding Sudokus" which are pairs of Sudokus with terms that can be matched using a substitution rule.
A Sudoku with a twist.
Four numbers on an intersection that need to be placed in the
surrounding cells. That is all you need to know to solve this
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.
Solve this Sudoku puzzle whose clues are in the form of sums of the
numbers which should appear in diagonal opposite cells.
A Sudoku with clues as ratios or fractions.
Can you identify the mathematicians?
This pair of linked Sudokus matches letters with numbers and hides a seasonal greeting. Can you find it?
A Sudoku with clues as ratios.
A Sudoku that uses transformations as supporting clues.
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...
Here is a solitaire type environment for you to experiment with. Which targets can you reach?
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
Given the products of diagonally opposite cells - can you complete this Sudoku?
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.
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.
Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.
Match the cards of the same value.
Can you work out how to win this game of Nim? Does it matter if you go first or second?
Advent Calendar 2010 - a mathematical game for every day during the
run-up to Christmas.
A Sudoku with clues given as sums of entries.
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.
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.
Design your own scoring system and play Trumps with these Olympic Sport cards.
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
Nim-7 game for an adult and child. Who will be the one to take the last counter?
A game for two people, who take turns to move the counters. The player to remove the last counter from the board wins.
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.
This sudoku requires you to have "double vision" - two Sudoku's for the price of one
A game to make and play based on the number line.
Work out the fractions to match the cards with the same amount of
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 game for 2 players. Each player has 4 counters each, and
wins by blocking their opponent's counters. A good follow-on from
This is a challenging game of strategy for two players with many interesting variations.
Practise your diamond mining skills and your x,y coordination in this homage to Pacman.
Start with any number of counters in any number of piles. 2 players
take it in turns to remove any number of counters from a single
pile. The winner is the player to take the last counter.
A simple game of patience which often comes out. Can you explain