Division by a Fraction: Assessing Understanding through Problem Writing
Angela T. Barlow and Jill Mizzell Drake
An assessment tool that uses student-written word problems to provide meaningful information regarding the depth of mathematical understanding. Students’ word problems representing 6 ÷ 1/2 were classified using the scoring categories described in the NAEP. By categorizing the problems, students' levels of understanding with regard to division by a fraction were revealed. Descriptions of the categories and sample student problems are included.
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