This study investigated different math-talk facilitations, and conceptualized the teachers' talk moves for productive student mathematics discussions. Our findings suggest that students' strategy development is supported by talk moves coordinating a wide range of student strategies, representations and discussions that are at a process-level and…

This article compares students' critiques within a class discussion about an invented statistic to STEM professionals' critiques from interviews to better understand how the situated meanings of a statistic are similar and different across student and professional worlds. We discuss similarities and differences in how participants constructed…

This article reports on students' problem-solving approaches across three representations--number lines, coordinate planes, and function graphs--the axes of which conventional mathematics treats in terms of consistent geometric and numeric coordinations. I consider these representations to be a part of a "hierarchical representational…

This article addresses how we can develop learning environments that establish a need for scientific practices and provide a context for developing content knowledge through practice. It argues that Pickering's (1995) notion of "The Mangle of Practice" informs these efforts by focusing our attention on how resistance, or push-back from…

While many studies have considered the association between teachers' and students' conceptions of teaching and learning and classroom practices, few studies have researched the influence of teachers' conceptions on students' conceptions. Our objective was to analyze the influence of music teachers' conceptions on student…

This study investigates whether Virtual Manipulatives (VM) within a Physical Manipulatives (PM)-oriented curriculum affect conceptual understanding of electric circuits and related experimentation processes. A pre-post comparison study randomly assigned 194 undergraduates in an introductory physics course to one of five conditions: three…