Supporting Students' Development of Measuring Conceptions: Analyzing Students' Learning in Social Context

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Evaluation of a learning trajectory for length in the early years (2011, background): “…(4) understand the need for equal-length units (Ellis, Siegler, & Van Voorhis, 2003), (5) use rulers accurately and meaningfully (Lehrer, 2003; Stephan et al., 2003), and (6) make inferences about the relative size of objects (e.g., if the number of units are the same, but the units are…”
A Proposed Instructional Theory for Integer Addition and Subtraction (2012, background): “Stephan et al. (2003) suggest that the classroom mathematical practices give a picture of the actualized learning trajectory, the way in which the HLT became constituted in practice.”
Design Research as a Means for Building a Knowledge Base for Teachers and Teaching in Mathematics Education (2009, methodology): “The local instruction theory described above was developed in two design research projects (Cobb et al., 1997; Stephan et al., 2003) that built on the idea of using the empty number line as a means of support in learning how to add and subtract flexibly up to 100 (Treffers, 1991; Whitney, 1988).”