Units coordination and the construction of improper fractions: A revision of the splitting hypothesis
By Amy J. Hackenberg. 2007
124 citations recorded by the source corpus.
Subfields: Education, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/9a063332f71066cc9632f6c34e7330383dbce95e
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Citations in the corpus
- ZPC and ZPD: Zones of Teaching and Learning (2008, background): “Previous research has indicated that splitting operations and units coordination at three levels are critical in these constructions (Hackenberg, 2007; Olive & Steffe, 2002).”
- Relationships between Students' Fractional Knowledge and Equation Writing. (2015, background): “We anticipate the need for more than one curricular pathway because MC2 students appear to encounter a rather resilient constraint in constructing iterative fraction schemes (Hackenberg, 2007).”
- Mathematical Caring Relations in Action (2010, methodology): “Having arrived at a new insight in my working model of Bridget on the last day of the experiment, I was now challenged to develop an analytic model in retrospective analysis (e.g., Hackenberg, 2007, in press).”
- Students' Whole Number Multiplicative Concepts: A Critical Constructive Resource for Fraction Composition Schemes. (2009, background): “levels of units ( Hackenberg, 2007, submitted for publication).”
- Students’ Reasoning With Reversible Multiplicative Relationships (2010, background): “…been pivotal for students in learning to compare fractions (Behr, Wachsmuth, Post, & Lesh, 1984; Saenz-Ludlow, 1994), construct improper fractions (Hackenberg, 2007; Olive & Steffe, 2002; Steffe, 2002; Tzur, 1999), and compose fractions additively and multiplicatively (Hackenberg & Tillema, 2009;…”
- The Splitting Group (2012, background): “Although students can often produce improper fractions, in action, from a given whole (Tzur, 1999), conceptualizing the result theoretically involves three levels of units (Hackenberg, 2007); for example, 7/5 is a unit of seven units of 1/5, five of which produce the whole unit.”