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Cramer, Kathleen; Monson, Debra; Whitney, Stephanie; Leavitt, Seth; Wyberg, Terry – Mathematics Teaching in the Middle School, 2010
Fraction division is generally introduced in sixth or seventh grade with this rule: "Invert and multiply." The authors examined current commercial curricula and found that few textbooks use context as a way to build meaning for the division of fractions. When context is used, the connection between the invert-and-multiply rule and the context is…
Descriptors: Textbooks, Secondary School Mathematics, Arithmetic, Mathematics Instruction
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Smith, Michael W.; Wilhelm, Jeff – Voices from the Middle, 2006
The authors offer research studies and other documented evidence that teaching grammar without a meaningful context does not improve student writing, largely because that approach does not address the root causes of errors. Several resources that support this position and offer more productive strategies are summarized, including the authors'…
Descriptors: Grammar, Writing Improvement, Writing Instruction, Error Patterns