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Is there a science of learning?
Is there a science of learning that tells us the best ways to teach novice learners? Yes, there are basic principles such as direct instruction and modeling. Research shows that explicitly teaching kids how to do things works. The learning hierarchy suggests that kids need modeling, explicit instruction, and corrective feedback when learning something new. Lots of practice is also important for speed and accuracy. Once kids can do something quickly and accurately, they can generalize it. Speed and automatization of math facts are important for generalization. These principles apply to all learning. Kids need to know their math facts.