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Evans, T; Marmur, O; Hunter, J; Leach, G; Jhagroo, J
(Ed.)
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Evans, Tanya; Marmur, Ofer; Hunter, Jodie; Leach, Generosa; Jhagroo, Jyoti (Ed.)Dialogic instructional videos feature authentic conversations of students as they engage in complex mathematical problems. Because these videos show students engaging in rich mathematical interactions students might use them as models for how they should engage in such interactions. In this study, we investigated how watching a dialogic video that showed two students creating pictures to illustrate mathematical relationships shaped what two pairs of students thought was necessary to include in their own pictures. We found that while the video the students watched did indeed shape what they thought was necessary to include in their pictures, the degree to which they felt they needed to mirror the pictures in the video varied considerably.more » « less
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Evans, T; Marmur, O; Hunter, J; Leach, G; Jhagroo, J (Ed.)This case study of one first grade student involves the analysis of three interviews that took place before, during, and after classroom teaching experiments (CTEs). The CTEs were designed to engage children in representing algebraic concepts using graphs. Using a knowledge-in-pieces perspective, our analysis focused on identifying students’ natural intuitions and ways of thinking algebraically about a functional relationship represented using graphs. Findings reveal four seeds, two of which were identified in prior studies, and how the activation and coordination of these seeds results in students' production of function graphs.more » « less
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Evans, Tanya; Marmur, Ofer; Hunter, Jodie; Leach, Generosa; Jhagroo, Jyoti (Ed.)We report on the relationship between community college instructors’ performance on an instrument measuring mathematical knowledge for teaching college algebra with their teaching experience and their frequency of using specific tasks of teaching. The findings support the argument that the instrument assesses critical knowledge for teaching college algebra. We propose further work based on these findings.more » « less
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Evans, T; Marmur, O; Hunter, J; Leach, G; Jhagroo; J (Ed.)We illustrate how concepts from systemic functional linguistics are adapted for the analysis of multimodal representations of practice used in activities where teachers and teacher educators transact meanings about practice. We focus on the transactive register used to project practice meanings to the audience of these representations. We showcase the systems called visibility (how much of the classroom experience happening is made visible to the viewer), temporality (how sequence and duration of events are represented), and theme (how semiotic resources maintain and develop themes). We apply these systems to examine the differences between two storyboards of algebra lessons that were used in a professional development context and the different kinds of reactions teachers offered to the different storyboards.more » « less
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Evans, Tanya; Marmur, Ofer; Hunter, Jodie; Leach, Generosa; Jhagroo, Jyoti (Ed.)We report on the relationship between community college instructors’ performance on an instrument measuring mathematical knowledge for teaching college algebra with their teaching experience and their frequency of using specific tasks of teaching. The findings support the argument that the instrument assesses critical knowledge for teaching college algebra. We propose further work based on these findings.more » « less
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