Friday 10 July 2015

'Learning Mathematics Through Games: 3. Creating Your Own Games'

From: http://nrich.maths.org/

          Question: How do find a game that fits the mathematical needs of my children exactly?

          Answer: Create the game yourself!

          Question: How do I do that?

          Answer: Read on...

Some games are worthy of playing in their own right - because they stimulate mathematical
thinking and strategy development. However, to take full advantage of the educational benefits of
playing games (and cope with a specified mathematics curriculum), we often need games that fit
particular mathematical objectives. As the teacher, you are the best person to design a game for
your class, or groups within your class. You know the children's mathematical abilities and needs.
You also know the content that needs to be covered, and other constraints such as time, resources
and space.

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.

1. Use the rules of an existing game, but use different materials or add extra materials.

Example 1: Tables Fish - use the rules of the old favourite "Go Fish", but make a pack of cards for
whichever multiplication facts need practising.

 
Bonus points can be given for collecting sets that the children might usually avoid, like 9 times 8.
It might be helpful to allow children to use a tables card to start with, then have them play without assistance as they become more confident.

Example 2: Maths Dominoes - Make a set of paper or card dominoes where the dots have been
replaced by equivalent values or matching concepts. Such as . . .

Equivalent Fractions
 
Basic Number Dominoes
 
Polygon Dominoes

2. Use the idea for a game and change the rules or the playing circumstances to fit whatever
classroom resources are available.

Example: Roll a Shape - This is based on games that involve rolling a die, or spinning a spinner, to
gradually build a beetle (or some other creature). The idea is to use some type of construction
material and a die or spinner to tell the players what pieces to pick up. For example, if 'Polydrons'
(click together polygons) are used, a die could be modified to show 3, 3, 3, 4, 5, 6 to indicate the
number of sides the piece must have. After 12 pieces (or some other specified amount) have been
collected, the aim is to try to use all the pieces to build one or more polyhedra (closed solid
shapes). Points are scored for the pieces used, points deducted for unused pieces.

Another version uses construction straws and an ordinary die. The numbers 1, 2, 3, 4 tell the
number of straws to pick up. The numbers 5 and 6 allow a connector to be picked up. Building
begins after 6 rolls. The aim is to make just one polyhedron using all the straws as edges.

3. Use a game board and add maths tasks to it. Most schools have board games with pieces
missing, like Ludo, Snakes and Ladders, Checkers, or racing games. Use the boards and make up
some new rules and put in some mathematics. Rather than write tasks directly onto the boards, just
place coloured stickers on certain spaces. Make up some colour-coded cards with quiz-type questions. A correct response - advance some spaces, incorrect - stay there. Include some fun
questions and chance cards.

Example: Operation Snakes and Ladders - use the board with two dice. On each turn the player has
the option of multiplying, dividing, adding or subtracting the two numbers, with a maximum
answer of twenty.

4. Ask the children to invent their own games. Put them into small groups. Give them some
possible topics, various resources and insist on an agreed plan before they start making anything.

Evaluating Your Game

Rate your game using these questions.

  • Does the game match your mathematical objective?
  • Does it cater for a range of abilities?
  • Can the game be completed in a short time? (10 mins for infants, 15-20 for older)
  • Is there an element of chance built in?
  • Are there strategies to be developed to improve the likelihood of winning?
  • Do the children enjoy playing it? (If not, ask them why and modify the game)

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