The Math in Your Feet Blog | Constructing an Understanding of Mathematics
Friday, April 6, 2012
Hexagon Poetry
Can't remember why I got out the pattern blocks; it's been a while. 'How many different ways can I make a hexagon?' I asked myself. The kid joined in at some point and then we left it, on to other things.
Later in the day I found this.
It says: "Each ray is different with the days."
This post is linked to Saturday's Artist at Ordinary Life Magic. :-)
"How many different ways can I make a hexagon?" is such a perfect question, because every answer is also a fraction statement: six little triangles make one whole hexagon, so each triangle is a sixth; two trapezoids make the same whole, so each is a half; three rhombuses make it, so each is a third. A child who builds all three versions has seen, with her own hands, that 6/6, 2/2 and 3/3 are the same whole in different pieces. I love that the day ended not with a worksheet but with a found drawing — "Each ray is different with the days" — which feels like the right moral for the whole exploration. Full disclosure: I run the free tool site factorcalculator.org, and this post reminded me how much fraction sense lives in a box of pattern blocks before any symbols ever appear.
Love it. Your daughter is quite an artist!
ReplyDelete"How many different ways can I make a hexagon?" is such a perfect question, because every answer is also a fraction statement: six little triangles make one whole hexagon, so each triangle is a sixth; two trapezoids make the same whole, so each is a half; three rhombuses make it, so each is a third. A child who builds all three versions has seen, with her own hands, that 6/6, 2/2 and 3/3 are the same whole in different pieces. I love that the day ended not with a worksheet but with a found drawing — "Each ray is different with the days" — which feels like the right moral for the whole exploration. Full disclosure: I run the free tool site factorcalculator.org, and this post reminded me how much fraction sense lives in a box of pattern blocks before any symbols ever appear.
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