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  • Author or Editor: Allison W. McCulloch x
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Allison W. McCulloch, Ashley Whitehead, Jennifer N. Lovett and Blake Whitley

A task using trig functions helps students build an understanding of the importance of context in the modeling process.

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Allison W. McCulloch, Rachael H. Kenney and Karen A. Keene

This article reports findings from a study on what students trust and why when checking their written work with a graphing calculator results in conflicting solutions. Based on these findings, suggestions for promoting good checking practices are provided.

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Allison W. McCulloch, Patricia L. Marshall and Jessica T. DeCuir-Gunby

Youngsters' out-of-school knowledge influences their pictorial representations of number.

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Jennifer N. Lovett, Allison W. McCulloch, Blain A. Patterson and Patrick S. Martin

In this manuscript we describe a lesson that utilizes an applet we designed to help students develop a conceptual understanding of the concept of function. We describe how removing algebraic representations and focusing on a real world context can support students' development of these conceptual understandings of the function concept.

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Jennifer N. Lovett, Allison W. McCulloch, Lara K. Dick and Charity Cayton

In this article, we present a set of design principles to guide the development of instructional materials aimed to support preservice secondary mathematics teachers (PSMTs) examining student practices in technology-mediated environments. To develop design principles, we drew on the literature related to technological pedagogical content knowledge (TPACK; Niess, 2005), video cases as learning objects (Sherin & van Es, 2005), and professional noticing (Jacobs, et al., 2010). After presenting the design principles, we share a task created using these design principles. Finally, we share PSMTs’ reflections about changes in their own understanding after examining students’ practices. Their responses provide insights into the usefulness of the design principles for deepening PSMTs’ mathematical knowledge and knowledge of students’ understanding, thinking, and learning with technology.