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Chazan, Daniel; Sela, Hagit; Herbst, Patricio – Cognition and Instruction, 2012

We illustrate a method, which is modeled on "breaching experiments," for studying tacit norms that govern classroom interaction around particular mathematical content. Specifically, this study explores norms that govern teachers' expectations for the doing of word problems in school algebra. Teacher study groups discussed representations of…

Descriptors: Interaction, Norms, Word Problems (Mathematics), Algebra

Herbst, Patricio; Nachlieli, Talli; Chazan, Daniel – Cognition and Instruction, 2011

This article presents a way of studying the rationality that mathematics teachers utilize in managing the teaching of theorems in high-school geometry. More generally, the study illustrates how to elicit the rationality that guides teachers in handling the demands of teaching practice. In particular, it illustrates how problematic classroom…

Descriptors: Evidence, Video Technology, Cartoons, Mathematics Teachers

Herbst, Patricio; Brach, Catherine – Cognition and Instruction, 2006

In this article we examine students' perspectives on the customary, public work of proving in American high school geometry classes. We analyze transcripts from 29 interviews in which 16 students commented on various problems and the likelihood that their teachers would use those problems to engage students in proving. We use their responses to…

Descriptors: Geometry, High School Students, Interviews, Mathematical Logic