It is so important to link concrete material to more
abstract numeric representations, and to have children “play” with their
mathematical thinking, especially in the early years. I also love to find books
to bring into math class that aren’t normally thought of as “math books.”
Here’s how we started:
The first page or scene was labeled, “Open Sea.” I held the
book so all could study and after a few moments I asked, “How many things to
spot do you think there are in this scene?” Volunteers shared their estimates
and explained how they came to their “best guess.”
I then took one interlocking cube and told the students that
this would represent to one humpback whale in the picture. I put it on the
chalk try in front of the room. Then we took turns with the cubes to represent
all of the creatures in the scene and lined them up in a sort of train.
I wrote all of the corresponding numbers above each stack of
cubes, and asked for ideas on how to quickly count the line of numbers. It was
decided that the “make 10” strategy would be best. That was pretty easily done
– there were two 10s, a 7/3 combo, and a 9/1 combo. That made 40. Then we had 8
plus 3 and 8 plus 4, which was 11 and 12 (or 10 plus 1 and 10 plus 2). We came
up with the grand total of 63.
Tomorrow morning we will check our work another way, by physically making stacks of 10. Then we will go on to the second page of the book, this time using our good friends, the base 10 blocks. In a couple weeks, we will have spotted 1001 things in the sea by using lots of different strategies and materials.
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