I was looking for some images to include with a document I was preparing for parents and came across this wonderful clip art resource. I haven’t had time to search through the thousands of useful math images but I’m sure I’ll find myself stuck on here sometime over the winter break!
As we prepare for our next study group meeting we will be discussing the article by Steven C. Reinhart titled, Never Say Anything a Kid Can Say.
If you haven’t read this article, this year, I strongly suggest you give it a read.
After you are done, treat yourself to this YouTube video.
When one encounters a problem such as the one above there are four main strategies for solving.
1. Counting All – Begin at the first object and count all. Most children use this strategy as they learn to count.
2. Counting On -As students develop they will notice the first number and then count on from that number, using it as a starting point to count on from.
3. Known Facts – Sometimes we just know the fact because it has been committed to memory.
4. Derived Facts – Another strategy for solving problems is to manipulate the numbers in the problem to make them easier to manage. Students who use this strategy might make a group of ten and then see that there are two and three left which makes five. They might also see that the numbers are close to 7+7 and since that is one less, and the known double 14, the answer must be 15.
Knowing that this is how students approach problems is important but it wasn’t until I was reading Jo Boaler’s book, What’s Math Got to Do with It? did I realize just HOW important it was.
I encourage you to pick up a copy of Jo Boaler’s book, What’s Math Got to Do with It?.
On my recent trip to the Carnegie Art Museum in Pittsburgh I came across this work or art by Mel Bochner. The opportunity to connect mathematics and art are often missed and this presents a wonderful problem.
While there are many ways to use this in the classroom but I would simply present the work to small groups and ask them to interpret it and then create their own work of art. They could also trade diagrams and allow other groups to create their work.
Are there other ways to make a diagram of a block structure?