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Ambiguity is a natural part of communication in a mathematics classroom. In this paper, a particular subset of ambiguity is characterized as clarifiable. Clarifiable ambiguity in classroom mathematics discourse is common,…
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We argue that progress in the area of research on mathematics teacher responses to student thinking could be enhanced were the field to attend more explicitly to important facets of those responses, as well as to related…
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This study investigated teachers’ responses to a common set of instances of student mathematical thinking (SMT) with varied potential to support students’ mathematical learning, as well as the productivity of such…
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Activating Math Talk is a resource for promoting high-quality math discourse in grades K-5. The content of the chapters and discussion questions within are meant to spark conversations among teachers, teacher leaders,…
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In this chapter, authors use the Framework for Teaching Practice (Grossman, et al., 2009) as a conceptual tool for analzying the design of professional development. In this chapter, we use the Framework…
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In this paper, authors analyze a PD design, examining its activities and the sequencing of professional learning tasks. In this paper, we analyze a PD design, examining its activities and the sequencing…
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This article describes one mathematics professional development program designed to support all K-5 students' engagement in productive mathematical discussions, in particular emergent multilingual learners…
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Productive use of student mathematical thinking is a critical yet incompletely understood dimension of effective teaching practice. We have previously conceptualized the teaching practice of building on student…
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Do your students ever share ideas that are only peripherally related to the discussion you are having? We discuss ways to minimize and deal with such contributions. Do your students ever share ideas…
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Facilitating discussions is a key approach that science teachers use to engage students in scientific argumentation. However, learning how to facilitate argumentation-focused discussions is an ambitious teaching practice…
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Eliciting and interpreting students’ ideas are essential skills in teaching, yet pre-service teachers (PSTs) rarely have adequate opportunities to develop these skills. In this study, we examine PSTs’ patterns of discourse…
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This study investigated how preservice elementary teachers' (PSTs) noticed the discourse practices they used to position students and their scientific thinking as they engaged a group of student avatars in argumentation-…