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How often do teachers talk to students about multiple strategies, and how to select them, in math problem-solving? Students in the [United States] are very rarely doing rich contextual problems.
Math fluency requires more than just memorizing facts and procedures, but also knowing how and when to use them.
It's an old joke that there are three kinds of people in the world: those who are good at math and those who aren't.
The Algebra Problem: How Middle School Math Became a National Flashpoint Top students can benefit greatly by being offered the subject early.