From August 21st:
After supper this evening, I was sitting down to read a highly recommended book about teaching kids rational number concepts. but, as soon as I sat down, the kids realized that they hadn't bugged Mama in a whole 5 minutes, so they started to fuss. It is workshop week at school and we are getting used to a routine that doesn't have mama around 24/7, and we all kinda miss each other (kinda). The first example problem in my book is done by a first grader, so I invited my "starting first grade on Monday" Relia over and asked her about it.
"Four children want to share 5 candy bars equally."
She got paper and a marker and began to draw.*
At first she drew the four people (I had to convince her that we didn't need to spend a lot of time on bodies for each person). Then she drew a line from each candy piece, to each person. as she did that, she crossed out each candy bar.
I asked her, "What about this one?", referring to the one piece without a line. She had lots of completely reasonable ideas for what to do with it. Find another friend, go buy 3 more pieces, save it for later. I told her there weren't any friends around, they didn't have any more money, and they were very hungry.
She thought about it for a bit. Then cut that piece in half. I asked her to explain and in her explanation she realized she didn't have enough. More thinking, then she cut it in half again.
*I retraced what she did so I could add different colors for each step, and to photograph the process.
