Prospective teachers' knowledge: Concept of division

By N. F. Rizvi, M. Lawson. 2007

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Why Is Learning Fraction and Decimal Arithmetic so Difficult (2015, background): “…studies in which teachers were asked to generate a story or situation that illustrated the meaning of fraction multiplication and division (e.g., Ball, 1990; Depaepe et al., 2015; Li & Kulm, 2008; Lin, Becker, Byun, Yang, & Huang, 2013; Lo & Luo, 2012; Ma, 1999; Rizvi & Lawson, 2007; Tirosh, 2000).”
Conceptual knowledge of fraction arithmetic. (2015, background): “Many U.S. teachers have weak conceptual understanding of Rizvi & Lawson, 2007), which limits the understanding that they can convey to students.”
Mathematical Content Knowledge for Teaching Elementary Mathematics: A Focus on Fractions (2014, unknown): “ Rizvi and Lawson (2007) found a pattern of declining performance from whole number division problems to fraction division problems, when representing division problems either with word problems or diagrams.”