This editorial discussed the methodological choices that arise when one has articulated research questions and constructed at least a rudimentary theoretical framework.

In their commentary, “Toward a Framework for Research Linking Equitable Teaching with the Standards for Mathematical Practice,” Bartell et al. (2017) provide a stepping-stone into the challenge of clarifying the interface between equity and standards setting in mathematics education by devising a framework that relates the Common Core State Standards for Mathematics to an explicit articulation of equitable teaching practices. In this commentary, we respond to this proposed framework and aim to clarify some key elements. Furthermore, we draw on our own positionings and scholarly interests to critique and bolster the framework by focusing on the tensions related to co-opting the Common Core for equity-oriented purposes, the framework’s relation-ship to neoliberalism, and the role of racialized rhetoric and nondominant family and community knowledge.

This article outlines several forms of instructional practice that distinguished middle-grades mathematics classrooms that were organized around conceptually oriented activity and marked by African American students’ success on state assessments. We identified these forms of practice based on a comparative analysis of teaching in (a) classrooms in which there was evidence of conceptually oriented instruction and in which African American students performed better than predicted by their previous state assessment scores and (b) classrooms in which there was evidence of conceptually oriented instruction but in which African American students did not perform better than predicted on previous state assessment scores. The resulting forms of practice can inform professional learning for preservice and in-service teachers.

This article identifies a self-sustaining system of deficit narratives about students of color as an entry point for studies of cognition to engage with the sociopolitical context of mathematical learning. Principles from sociopolitical perspectives and Critical Race Theory, and historical analyses of deficit thinking in education research, support the investigation into the system. Using existing research about students’ understanding of a limit in calculus as context, this article proposes a definition of a deficit perspective on sense making and unpacks some of its tenets. The data illustration in this article focuses on the mathematical sense making of a Chicana undergraduate student. The analysis uses an anti-deficit perspective to construct a sensemaking counter-story by a woman of color. The counter-story challenges existing deficit master-narratives about the mathematical ability of women of color. The article closes with a proposal for an anti-deficit method for studying the sense making of students of color.

Past experiences as mathematics learners play a critical role in the way mathematics teachers consider what it means to know, do, and teach mathematics. Thus, under-standing past experiences and ways to work with them in teacher education is a critical concern. Using phenomenological inquiry, we investigated moments of shift that occur along one’s mathematics journey. The study draws on 30 prospective teachers’ experiences in the form of lived-experience writing and interview data. Findings show that prospective teachers’ shifts manifest in relations with others, across different time frames, and through material relations with mathematics. Most salient was the tentative and mutable nature of shifts, showing that shift might be better viewed as a possibility rather than a single event.

A review of Systems for Instructional Improvement: Creating Coherence from the Classroom to the District Office