We are three mathematics teacher educators (MTEs) at a Hispanic serving institution that predominantly teach mathematics education courses for elementary and secondary teacher candidates (TCs). In this paper, we present findings from a collaborative self-study in which we used dimensions of the Rehumanizing Mathematics (RM) framework (Gutiérrez,…

While the Common Core State Standards for Mathematical Practice are a focal point of K-12 mathematics education, there is limited research examining how future teachers' (e.g., undergraduate students, teacher candidates) develop their conceptions of these standards. We investigate how opportunities within a mathematics-focused bridge course within…

These proceedings are a written record of the research presented at the 44th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA) held in Nashville, Tennessee, and virtually. This year's conference theme is "Critical Dissonance and Resonant Harmony." The aim of this…

Approximations of practice create valuable opportunities for preservice teachers (PSTs) by engaging them in components of teaching. By reviewing the literature, this study explored PSTs' learning through approximations and the extent approximated practices preserve the complexity -- or authenticity -- of teaching. A review of 25 empirical studies…

Mediated Field Experiences (MFEs) provide teacher candidates (TCs) structured opportunities to unpack and enact core teaching practices, gain mathematics content and pedagogical knowledge, and reflect critically on mathematics teaching and learning. In this paper we present findings from a multi-institutional descriptive pilot study that…

Mathematics teaching is an inherently social activity, highly dependent on the lived experiences of its members. Drawing on sociocultural perspectives, we explore the mathematical lives of Latinx paraeducators to better understand the ways in which their backgrounds might influence their attitudes toward mathematics and mathematics teaching.…

Embracing the theme of this year's meeting, we seek as a community to consider the role of expansion, displacement, and growth in mathematics education in the privileging of some and marginalizing of others. Following on the topics discussed at the Working Group between 2009- 2018, this year the focus is on balancing the need to reflect and…

Tallman (2015) argued that pedagogical content knowledge is a form of content knowledge with particular characteristics that endow it with pedagogical utility, and he conjectured that an essential characteristic of a teacher's content knowledge is her conscious awareness of the mental actions and conceptual operations that comprise her…

We discuss affordances and liabilities of using a storyboard to depict a written case of a teacher's dilemma that involves race, opportunity to learn, and student community. We rely on reflections by the teacher educator who authored the written case and later depicted it as a storyboard to use it with his preservice teachers (PSTs). The analysis…

In this paper, we describe an experience within mathematics teacher preparation that engages preservice teachers (PSTs) in Making and design practices that we hypothesized would inform their conceptual and pedagogical thinking. With a focus on the design of new tools to support mathematics teaching and learning, this Learning by Design experience…

Most teacher preparation programs require prospective teachers (PTs) to engage in early field experiences (EFEs) prior to completing required coursework. These EFEs, however, may lack meaningful connections to course content and provide limited opportunities to experience the demands of classroom teaching. In this paper, we share evidence from the…

Numerous studies, including our own, have documented that teacher noticing interventions can be effective in developing teachers' abilities to notice salient aspects of the mathematics classroom. In this study, we explore how specific aspects of one such intervention may have supported three prospective teachers in learning to notice…

At the crossroads of our prior research on prospective teachers' feedback to mathematics-learners and our mathematics teacher educator feedback practices, we study written feedback as part of relational practice. Using self-study methodology and an analysis of our narratives and conversations about written feedback, we identified factors that…

Amid the implementation of new curriculum standard regarding statistics and new recommendations for preservice secondary mathematics teachers [PSMTs] to teach statistics, there is a need to examine the current state of PSMTs' common statistical knowledge. This study reports on the statistical knowledge 217 PSMTs from a purposeful sample of 18…

We present a story of a teacher educator's response to a 'disturbance' and describe how her experience enhanced her personal mathematical knowledge and influenced her teaching. In our analysis we attend to different levels of awareness that support a teacher educator's work and illuminate the qualities of a teacher educator's knowledge, in…