Qualities and Quantities

The supplies have started to arrive; it’s like a big birthday party.  We don’t often have new supplies arriving en masse in public education so when it happens we (and I’m referring to the adults here) get a little silly.  I performed a memorable happy dance in the hallway; I may never live it down.

I’m always amazed by novelty and the impact it has on children (adults too) – you would think it would get old, but it really doesn’t. When our carpet first arrived, all the children, as a collective, lay down on the floor and rubbed their cheeks against the nubby surface. They just soaked it in, loving the feeling and enjoying the warmth after 2 weeks of sitting on cold tiles. Simple thing, big impact on our lives.

Another piece of equipment that arrived at the same time was an instant favourite, as it has been every year. This toy seems to lend itself to sophisticated mathematical thinking; the relationships between 2-D and 3-D shapes, which shapes tessellate well and which do not, how to use one shape to build another. All of these things I had anticipated because I’ve seen them before. What I’ve never seen is the impact of having so many of a material on the quality of children’s play. This year we ordered double the number of tiles. Just look at what they’ve been able to accomplish!

Covering the surface of the light table with tiles and using that as a building surface makes the whole project glow.
Covering the surface of the light table with tiles and using that as a building surface makes the whole project glow.
I just love the glowing effect of the light table.
I just love the glowing effect of the light table.
Their sense of how the pieces can fit together becomes more sophisticated the longer they play.
Their sense of how the pieces can fit together becomes more sophisticated the longer they play.
We had just talked about building stable structures using bigger pieces at the bottom and smaller pieces at the top.  I think they're trying to prove me wrong!  I was impressed at how they were investigating volume here by using the wooden blocks to fill their cube.
We had just talked about building stable structures using bigger pieces at the bottom and smaller pieces at the top. I think they’re trying to prove me wrong! I was impressed at how they were investigating volume here by using the wooden blocks to fill their cube.
Next stop... the School of Architecture.
Next stop… the School of Architecture.

One of the best thing about having so many of these tiles is that while one group of students is using them on the light table, another group can be using them on the floor or on a table (or a couch in this case).  That’s what BG was doing last week.

And then this happened...
And then this happened…

BG called me over to show me what he had made.  He had used the equilateral triangles to create two hexagons which he had linked together, nearly making three hexagons.  We discussed what he had made and I introduced the name of his new shape.

Which led to this...
Which led to this…

DW had been watching us as we had this conversation and came over to show me that he could use two triangles to make a square.

BG then tried to make a square using his triangles but came up with a diamond instead.

DSCF0171

Why do some triangles make squares when you put them together while others don’t… what’s the difference? You can see in this photo that BG has completed his third hexagon.

The next day, I kept noticing more and more students using shapes (both tiles and wooden blocks) to make new shapes and experimenting with tessellation.  I’m intrigued at how these ideas spread.  DW was listening to my conversation with BG… did other students notice?  Were they observing on the sidelines without me noticing or is there some other process at work here?  This week we’re going to share these observations with the whole group – I’m excited to see where it goes from here!

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