*I See Multiplication and Division, *the follow-up to I See Addition and Subtraction, allows teachers to make a range of visual representations, allowing children to see the underlying structure of these calculations.

I got the idea for *I See Multiplication and Division *whilst watching an NCETM demonstration lesson. In the lesson, a year 3 class were writing multiplication number sentences based on different repeated addition images. My immediate thought was ‘how can a teacher create these visual representations?’ For many, probably by spending an age on Publisher or PowerPoint. So the concept for the *I See *apps was born: making it easier to create visual representations.

Here’s what you can expect from **I See Multiplication and Division**. The **Singapore Bar** section allows you to create proportionately sized bar models for both operations. Enter the number of bars, the size of each bar and for division the remainder:

Then the image is created. The calculation shown can be rearranged and the numbers displayed can be hidden as appropriate:

The **Dot Pattern **feature allows the user to create repeated addition images. How do children calculate the total number of dots?

UxUxU calculations can also be made visual: again, how many dots, and how did you work it out?

Multiplication can be shown as an area model, with the sections appropriately sized:

And arrays can be created and adapted in a range of ways. For example, columns and rows can be re-coloured, for example showing 6×12 as double 6×6:

My hope is that *I See Multiplication and Division *can deepen learning for children and make lesson preparation easier for teachers. It will be available for iPad in the first week in October.

Again, huge credit to Alan Peat ltd for running with the idea and Doug Stitcher for his extraordinary effort coding the app. You are legends!

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## Published by garethmetcalfe

Part of a collective mission to change the nature of maths education - www.iseemaths.com
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