Brother William

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For the students who saw units of study as one big topic, there were no connections. For them it was a bunch of disconnected and discrete routines to memorize. Once they could clearly see the different complexity levels, they could begin to see how, for example, multiplying proper fractions is a special (and basic) case of multiplying mixed fractions (advanced). They needed to see the distinction to see the connections.
Brother William
Epistemic
Building Thinking Classrooms in Mathematics, Grades K-12: 14 Teaching Practices for Enhancing Learning (Corwin Mathematics Series)
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