## Saturday, 30 July 2016

### naturally ingenious combining

I'm rereading some of the chapters in Madeleine Goutard's Experiences With Numbers in Colour. Something jumped out at me. It was written in 1964, but in a way it's better suited to now, to 2016. The destiny of many if not most sets of Cuisenaire rods around in the 60s was to end up in the bottom of cupboards, along with the Dienes apparatus and Geoboards. What was not there, the ingredient that was needed to make the pedagogy work, was the idea and practice of number talks. Even now this is maybe not that widespread, but at least it's out there, with wonderful books like Intentional Talk leading the way. Now that we are using quick dot images, asking children to look at groups of dots and tell us how they see the total, we understand better the importance of what Goutard below calls "naturally ingenious combining".

I won't be using this particular part for a while as my five year olds will be doing a lot of playing and other things before we get to this stage. But you'll see what's happening. The class is motivated to explore something together, they are creative and playful in the way they find solutions. The emphasis is on doing and trying out rather than having remembered (although they evidently have a lot of experience with rectangles as products of two numbers).

The passage starts with Goutard introducing some rods:

She then introduced a black rod (7 white rods long)...
And not just flexibility of mental calculation. Flexibility in thinking. And also comfort with manipulating numbers. These days too it's easy enough to take photos of what the kids have made , get them up on the whiteboard, and come together to talk about the different representations together.

## Friday, 8 July 2016

### Meeting my new class

So, last week we all met our new classes for 45 minutes. Mine will be all five years old in September, what up until now we've called Year 1, but come September, we're calling Kindergarten 3 because 1. we're being less British, and 2. we're being much more play-based.

So, after an introduction ("Do you want to call me Mr Gregg, or Simon?") and a song, I introduced - of course - the Cuisenaire rods. I asked them what they thought they were for, and they said making pictures of various kinds, not a mention of maths. I said they were sometimes used for patterns and numbers, and one boy counted to twenty in response.

So - of course - I said, "Make anything you like out of them, pictures, patterns, whatever you like!"

And they did!
 a blue-black pattern