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On October 1st, the announcement rings out: “It’s time to master those multiplication facts, everyone!” The goal? Memorize them all by Thanksgiving and never forget. But reality teaches us otherwise.

These student-constructed problems foster collaboration, communication, and a sense of ownership over learning.

It is just as natural for young children to think mathematically about their world as it is for them to use language. They develop mathematical knowledge as they manipulate objects and reason about ...

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