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Division by a Fraction: Assessing Understanding through Problem Writing

Angela T. Barlow and Jill Mizzell Drake 

February 2008, Volume 13, Issue 6, Page 326

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.

Conceptual Development
Grades 6-8
Open-ended assessments
Fractions / Decimals / Percents / Rational Numbers
Problem Solving / Problem Posing
Student Work