The Learning in Logic Squares

There are lots of maths apps on the market: most are visually appealing and allow children to rehearse key mental maths skills. What more does Logic Squares have to offer? This blog gives six reasons why Logic Squares takes children’s learning to a deeper level.

Accessible challenge

At the start of each level, the player can select ‘kick-start’. This will put one of the numbers into position, giving a significant clue to help the player to unlock the level. In doing so, the levels are made more accessible for children of different abilities. There are a range of solutions for each level.

Useful feedback
When the player clicks ‘check’ any lines that are incorrect are highlighted in red. Then the player can re-position the numbers having seen their mistake(s), allowing them to address any misunderstandings in a non-threatening way.

High threshold
By the end the levels will stretch even the most able primary child. Take level 18 (using 1-20). Can the children reason as to why the number positioned has to be a 2? Children have to identify the lines with fewer possible solutions and learn to complete these parts first.

Supports understanding of = and > signs

Children’s understanding of = as ‘same as’ rather than ‘makes’ will be secured. The example on the left shows how the common structure ___ – ___ = ___  is reversed to ___ = ___ – ___. The grids from level 16 onwards are 7×7, allowing for two numbers either side of the equals sign. < and > sings are used throughout.

Subtraction as difference

Let’s assume the children start level 11 by filling in the bottom line. They may complete a vertical line using the most straightforward calculation that comes to mind (4-3=1). Soon they’ll realise that they need to be more selective in their use of the smaller numbers; larger numbers can be used in subtractions, considering differences.

Understand how to manipulate numbers in calculations
On level 12 the player has got to this point and has realised they are unable to complete the last line. Which is the first line to try to alter?The vertical line on the right hand side? Unlikely to work. The middle horizontal line? The 6 and 5 aren’t interchangeable; also, neither number could be used in the position of the 1. But switch around the 4 and the 2 and we have a solution!

So that’s how Logic Squares gets children playing with numbers and exploring key mathematical concepts in a fun, non-threatening way.

To see level 10 in detail, read the blog:
https://garethmetcalfe.wordpress.com/2015/08/31/logic-squares-the-strategy-maths-app/