GamesWhy Play?Is there any need to actually play the games if the object is merely to provide a setting for doing some mathematics? After all the game could be explained very quickly and the followup work started immediately. However, it is best that the games are played properly for three reasons. First of all there is the intrinsic mathematics which always present. Second, there is the high level of interest and motivation which gamesplaying generates. Third, and perhaps most important, is the deeper understanding of the situation to be worked on which can be gained only by playing through several games. Far too often students are expected to try and analyse a situation of which they usually have little or no previous experience. Here at least there is a chance to remedy that defect. To provide everyone with experience of a common activity, a system needs to be put in place which affords playing opportunities to all. Click here to download the full document 

Maths games are so easy to find nowadays that it is tempting to think their availability is reason enough to include them in our children's mathematical experiences. But is it enough that children might "have fun" playing them? Can we justify their use in the classroom? In writing this article, I will try to address these questions using some examples of mathematical games from NRICH  Click here
The
NRICH website has a series of 4 articles looking at the
use of games in the classroom 

This is a page to organize the math games he's created or modified significantly with some notes about content and a collection of the best math games he's seen  Click here Build an Army @mrbartonmaths
Mr
Barton has uploaded a bundle of free activities I have
created to the TES website, called "Build
an Army: Strength in Numbers".
And yes, the title came before the activity. 
What can you do with a Pack of Cards?
Teachers can go crazy thinking of different ways to practice the same facts to help students learn without getting bored. What a card game does is to give the students something to hold, touch, and move around while they see the facts on the cards and say them as well. Manipulating the cards in a variety of games, whether it is matching, making decisions on which answer is higher, or creating groups of similar attributes, is a highly effective multisensory tool. The students will be happy to play games and the games will help their memories absorb the facts;
In addition to using a standard Pack of Cards you might prefer to play Mathematical Top Trumps  Click here 

Simulation Games The following two games are simple simulations for running a business and are based upon an understanding of simple probabilities
The Great Elf Game
Alternative Link 
Rules
Record Sheet with Formulas
(Fill in red cells)
Record
Sheet pdf
Virtual Dice
Strategy Games I have downloaded several simple to play strategy games, some requiring just pencil and paper and others use counters. Click here to download this word document. You might like the challenge of designing a set of rules (like a computer programme does) to play Noughts and Crosses successfully against a human opponent  Click here This list is an indication of the games available at the Maths Arcade. We tried to get a number of games that would be suitable for a group of students to play – particularly important at the start. Some, such as Giant Blokus, have been particularly successful as students like to watch even if they are not playing.
The
classic games Backgammon, Chess, Draughts, Go, Reversi
(Othello), as well as playing cards are available at the
Arcade but are not described in the list above. This site presents a collection of games and puzzles with mathematical contents and a few practice exercises disguised as games  Click here Thousands of Sudoku Puzzles to print and solve  Click here
http://www.popmaths.com/games/
http://hoodamath.com/
http://www.math.com/students/puzzles/puzzleapps.htm
http://www.madras.fife.sch.uk/maths/homelearning/games/index.htm
www.nrich.maths.org.uk/public/games.php
http://students.itec.sfsu.edu/itec815/loosli/studentpage.html 

Games to Download
www.nrich.maths.org.uk/public/games.php
http://atschool.eduweb.co.uk/ufa10/games.htm
http://students.itec.sfsu.edu/itec815/loosli/studentpage.html
www.cs.uidaho.edu/~casey931/conway/games.html
http://www.bbc.co.uk/education/mathsfile/index.shtml 

Games
to Buy ATM The Fourbidden Card Game promotes the good use of mathematical language. It is based on the concept that you have to describe a mathematical word without mentioning four other words which are listed on the card. Eg. Identify the word perimeter without mentioning: distance, circumference, round or edge. Code ACT 012 Fourbidden Too is 52 different cards of the type described above. Code ACT 013 Two Number Jigsaws  Order of Operations are two sets of 25 cards that form a square by matching up calculations that give the same result. Eg. 3 + 7  4 x 2 and (3 + 4) x 2  12 Code ACT 025 Two Algebraic Jigsaws is an algebra equivalent of the item above. Code ACT 014


Tarquin Team
Games
These are special mathematical puzzles and problems which produce real cooperation between the members of a team. The mathematical content is that of the normal curriculum and whether you call them games, puzzles or problems they undoubtedly offer a very positive experience at a variety of different levels. Each player only gets some of the information and so all must play a part in arriving at a solution. Sixteen tried and tested team games are provided in photocopiable form and once it is realised how well this format works, it will not be difficult to construct more for yourself. Mathematical Team Games  by Tarquin  1 899618 56 2  Vivien Lucas


Bridges is an accessible daily puzzle from BrainBashers.com  Click here Alternatively KrazyDad has lots of these and other puzzles  Click here
Great site with lots of
different puzzles 
Click here
Thousands of Sudoku
Puzzles to print and solve 
Click here
Puzzles.com: A great website covering a wide range of puzzles, for all abilities  Click here
Online logic problems, logic puzzles, cryptograms and other puzzles too  Click here
A Wide range of Logic Puzzles  Click here
A website dedicated to the puzzling world of mathematics  Click here
Lots of Maths Challenges designed to encourage discussion and risk taking  Click here
Fantastic site with games requiring logical thinking and problem solving  Click here





River Crossings
Crossing a Rickety Bridge Four people need to cross a river at night. A rickety bridge over the river can hold only up to two people at a time. There's one flashlight that must be used when crossing. After it's used, it must be brought all the way back to the people remaining on the near side. Each of the four people takes a different amount of time to get across. If two people cross together, they travel at the slower person's rate. Annie takes 10 minutes to get across, Barry takes 5 minutes, Charlie takes 2 minutes, and Speedy takes 1 minute. What's the shortest time that it would take all four people to end up on the far side of the river? 


Dangerous Crossing. Four creatures A, B, C and D come to a river at night. The bridge is very thin and narrow, and can only hold any two of them at a time. Besides, it is dark and they need to keep their torch on while on the bridge. It takes A one minute to cross the bridge, B  2, C  5, and D  8 minutes. Can they all cross to the other side if the batteries in the torch last only 15 minutes? 


A 16th century version There are three beautiful brides and their young, handsome, and intensely jealous husbands. The small boat that is to take them across the river holds no more than two people. To avoid compromising situations, the crossings must be arranged so that no woman is left with a man unless her husband is also present. How many trips does it take to ferry all six across the river without an angry outburst? Online Version 


Treasure to Ship
How many trips do the pirates have to take to get all the treasure and both pirates onto the ship? Note: The ship needs 2 pirates to sail it. Don't worry about one pirate sailing off with all the treasure! 

Magic Squares
The
story
of
Lo
Shu
is
basically
one
of a
huge
flood
in
ancient
China,
whereby
sacrifices
to
the
river
god

to
calm
his
anger

seem
ineffective.
Each
time
a
turtle
came
out
of
the
river
and
walked
around
the
sacrifice,
as
if
to
suggest
that
the
river
god
had
not
accepted
the
sacrifice.
Until
a
child
noticed
a
curious
figure
on
the
turtle
shell
 in
effect,
the
3x3
magic
square
shown
above.
On
this
basis,
the
people
realized
the
correct
amount
of
sacrifice
to
make,
and
thus
appeased
the
river
god,
Franklin Magic Square & Durer's Square Numberphile video looking at Magic Squares and the Magic Hexagon 
Chessboards
Knights
Tour,
One
of
the
earliest
problem
involving
chess
pieces
is
due
to
Guarini
di
Forli
who
in
1512
asked
how
two
white
and
two
black
knights
could
be
interchanged
if
they
are
placed
at
the
corners
of a
3 ×
3
board
(using
normal
knight's
moves)

Knights
Tour
Grains on Chessboard  Arabic mathematician Ibn Kallikan who, in 1256  YouTube Clip 
Konigsberg
Bridges 
Our
story
begins
in
the
18th
century,
in
the
quaint
town
of
Königsberg,
Prussia
on
the
banks
of
the
Pregel
River.
In
1254,
Teutonic
knights
founded
the
city
of
Königsberg.
In
the
Middle
Ages,
Königsberg
became
a
very
important
city
and
trading
center
with
its
location
strategically
positioned
on
the
river.
The
healthy
economy
allowed
the
people
of
the
city
to
build
seven
bridges
across
the
river,
most
of
which
connected
to
the
island
of
Kneiphof;
their
locations
can
be
seen
in
the
accompanying
picture.
As the river flowed around Kneiphof, literally meaning pub yard, and another island, it divided the city into four distinct regions linked by seven bridges According to lore, the citizens of Königsberg used to spend Sunday afternoons walking around their beautiful city. While walking, the people of the city decided to create a game for themselves, their goal being to devise a way in which they could walk around the city, crossing each of the seven bridges only once. 

Tower of Hanoi 
The Tower of Hanoi or Towers of Hanoi , also called the Tower of Brahma or Towers of Brahma, is a mathematical game or puzzle. It consists of three rods, and a number of disks of different sizes which can slide onto any rod. The puzzle starts with the disks in a neat stack in ascending order of size on one rod, the smallest at the top, thus making a conical shape.
The objective of the puzzle is to move the entire stack to another rod, obeying the following rules:


Conway's Game of Life 
The Game of Life is not your typical computer game. It is a 'cellular automaton', and was invented by Cambridge mathematician John Conway.
This game became widely known in 1970. It consists of a collection of cells which, based on a few mathematical rules, can live, die or multiply. Depending on the initial conditions, the cells form various patterns throughout the course of the game  Rules, online animation and free program download  Click here 

Frogs 
· There are two families of frogs – purple and blue. · Each family contains 3 frogs. · The purple frogs live on the left of the pond, the blue frogs on the right. · The purple frogs want to get to the right side of the pond as they think the blue frogs get the juiciest flies. · The blue frogs, on the other hand, think the purple frogs get fatter flies and want to get to the left of the pond. · There are 7 lily pads which the frogs must use to cross the pond. · Frogs can only jump to EMPTY lily pads. · Frogs can only jump over ONE other frog at a time. · Frogs don’t know how to jump backwards! Work out how the families swap sides. What is the smallest number of jumps they have to make to get there? Task Version 1 Task Version 2 Online Version Alternative Task 

Mix of Investigations 
Tower of Hanoi Pentominoes Polyhedra Handshakes Paving Slabs Frogs Tetrahedra Painted Cube Penguin Sliders Pick's Theorem Stacking Boxes Interactive Number Square Mix of Investigations 

Squares Investigation 

15 Puzzles  Version 1 Version 2  
Jug Measuring Problems  Online Problems  
Sudoku  Online Games  
OkiDoku 
Many people enjoy working on grid puzzles as small, quick challenges of their mathematical and logical skills. Here is one you may not have seen, the OkiDoku. How does it work? Looking at the grid above, try to find four different numbers and put them in these 16 squares in a way that will satisfy the following two conditions: 1. Each of these four numbers must appear exactly once in each row and in each column. 2. The blocks with thick borders are called cages. Each cage shows a target number and a mathematical operation. The operation applied to the numbers in the cage should produce the target number  Click here 

Bedouins Breaking Bread

Two Bedouins were travelling across the desert to a distant village. In the middle of the day, they sat down to eat the loaves of bread that they had brought with them for lunch. One of them had five loaves and the other had three. Just as they were ready to eat, a stranger comes along and asks if he might share their meal. He said he had plenty of money but no food. The two agreed to divide their loaves equally among the three of them. After the meal was finished, the stranger laid down eight coins of equal value for what he had eaten and he went away. The traveller who had five loaves took up five coins and left three for the other guy. But the other guy disputed it, saying, "We shared the bread, we should each get four coins." Since they could not agree, they called in a magistrate. The magistrate listened to the story and then figured out who should get what. The question is, who's right? Or, is neither of them right? 

Map Colouring 
Since
the
time
that
mapmakers
began
making
maps
that
show
distinct
regions
(such
as
countries
or
states),
it
has
been
known
among
those
in
that
trade,
that
if
you
plan
well
enough,
you
will
never
need
more
than
four
colours
to
colour
the
maps
that
you
make.
The basic rule for colouring a map is that no two regions that share a boundary can be the same colour. (The map would look ambiguous from a distance.) It is okay for two regions that only meet at a single point to be coloured the same colour, however. If you look at a some maps or an atlas, you can verify that this is how all familiar maps are coloured  Click here 
