Despite the push for inclusive mathematics education, students with disabilities continue to lack access to, and achievement in, rich mathematics learning opportunities. We assert that mathematics teacher educators have a central role in addressing these contradictions. This role includes enacting facilitative moves during mathematics teacher professional learning to encounter and counter social forces, which we denote in this article as en/counters. As part of a larger study, we explored the extent to which the use of an inclusive education-oriented tool, developed and introduced during a teacher learning program, elicited en/counters that mediated participants' learning toward inclusive mathematics education. We discuss shifts in participants' conversational content and focus on surrounding practices that involved students with disabilities and features of the tool and processes that supported these shifts, including specific facilitative moves that helped redirect deficit-focused conversations.
Paulo Tan and Kathleen King Thorius
Kathleen Melhuish, Eva Thanheiser and Joshua Fagan
In classrooms, students engage in argumentation through justifying and generalizing. However, these activities can be difficult for teachers to conceptualize and therefore promote in their classrooms. In this article, we present the Student Discourse Observation Tool (SDOT) developed to support teachers in noticing and promoting student justifying and generalizing. The SDOT serves the purpose of (a) focusing teacher noticing on student argumentation during classroom observations, and (b) promoting focused discussion of student discourse in teacher professional learning communities. We provide survey data illustrating that elementary-level teachers who participated in professional development leveraging the SDOT had richer conceptions of justifying and generalizing and greater ability to characterize students' justifying and generalizing when compared with a set of control teachers. We argue that the SDOT provides both an important focusing lens for teachers and a means to concretize the abstract mathematical activities of justifying and generalizing.
Krista L. Strand and Katie Bailey
teachers' professional learning about the standards, we drew on this experience of teaching with multiple representations to develop the following Sketch the Standards prompt: Working together in small groups, draw a picture, along with meaningful words or
for teacher professional learning and collaboration as well as access to curricular materials that support a sustained focus on meaning and sense making of fractions. DEVELOPING EARLY ALGEBRAIC CONCEPTS AND REASONING The heart of algebraic thinking and