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## Paint by counting!One way to get children counting Some time ago, I wrote a program to get my kids to add and subtract numbers. I was
hoping to motivate them using visual aid to get outside of the numbers tables and into
the more random and real world of maths |

If you have kids between say 3-4 and 15, you might find this useful in a few different ways:

It forces them to perform additions and subtractions, from different numbers by different amounts in a visual way (hint: For the very young, make a table say 10 wide and 1 high, and use it as a number line)

Normally questions are in a format 5+12=?, but here they will face 5+?=17 type sitations, which comes handy in problem solving later

If they recognise patterns (say, in a table 10 wide, to go diagonally down they need to jump 11, and to create the other diagonal, 9), they will achieve the task much more easily, so there's an enouragement in that direction

By setting the table size to numbers other than 10, we're forcing them to, in effect, think in non-decimal number system.

Easy to scale the challenge up by increasing the size of table

For those who like a challenge, measure the time it takes to complete new challenges, graph how times increase as the table increases, etc.

## More advanced tasks

In a square of dimasions n wide and p high, find a recursive formula to generate vertical and diagonal lines (for instance, a top left-bottom right diagonal is formed if next square is "Current position"+(n+1) ). Test on squares of different shapes.

Find recursive formulas to generate parallel vertical and diagonal lines

Rewrite the rules so that the lines are formed from high numbers to low

You can download the program (just a single exe file) here and if you want to further customise it, the Delphi project files here ...

Instructions:

To start a new screen, click File | New, adjust the size of the table, tick the "Leave trail" checkbox and
click OK. Use the jump Forward and Backward buttons after entering the amount you want to jump.

Some suggested screens for the kids to aim at:

As always, feel free to modify this program to suit if you like...