Unpacking Referent Units in Fraction Operations

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Using cups of sugar, this sequence of division tasks for K–grade 12 and adult learners highlights how seeing “wholes” results in fewer “holes” in reasoning.

Contributor Notes

Randolph A. Philipp, rphilipp@mail.sdsu.edu, is a professor of mathematics education at San Diego State University.

Casey Hawthorne, caseyhawthorne@yahoo.com, is a graduate student in the joint PhD program between San Diego State University and the University of California–San Diego. The authors share an interest in mathematics teacher education, particularly the intersection of mathematical concepts and students' mathematical thinking.

(Corresponding author is Philipp rphilipp@mail.sdsu.edu)(Corresponding author is Hawthorne caseyhawthorne@yahoo.com)
Teaching Children Mathematics


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