Station PWild Exploration

Here‘s a wild exploration you might want to explore, or just think about, perhaps using the app to help you out. This is a “big question” idea that might be fun to mull on.
Here‘s a wild exploration you might want to explore, or just think about, perhaps using the app to help you out. This is a “big question” idea that might be fun to mull on.
When asked to compute , Kaleb drew this picture, which he got from identifying groups of twelve working right to left.
He said the answer to is with a remainder of .
Mabel, on the other hand, identified groups of twelve from left to right in her diagram for the problem.
She concluded that is with a remainder of .
Both Kaleb and Mabel are mathematically correct, but their teacher pointed out that most people would expect an answer with smaller remainders: both and would likely be considered strange remainders for a problem about division by twelve. She also showed Kaleb and Mabel the answer to the problem that is printed in the textbook.
How could Kaleb and Mabel each continue work on their diagrams to have this textbook answer appear?
Explore!
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