Generalizing is a critical aspect of mathematics learning, with researchers and policy documents highlighting generalizing as a core mathematical practice. It can also be challenging to foster in class settings, and teachers need access to better resources to teach generalizing, including an understanding of effective forms of instruction. This…

This article shows that enabling teachers to integrate comparing solution strategies into their teaching fosters student flexibility in algebra. We designed two professional development (PD) programs that either focused exclusively on comparing solution strategies, or additionally introduced the accountable talk approach to guiding productive…

This study examined the prevalence of teacher tracking in a population of 1,822 mathematics teachers in 184 high schools in a single state. Results showed that 70% of teachers were tracked by course level, course track, or both. Three fourths of high schools tracked at least 58% of their mathematics teachers. We also found significant differences…

Considerable research has been conducted on the critical role of gesture and action in children's mathematical thinking. However, teacher professional development (PD) has not tended to include specific supports for attending to nonverbal student thinking. In this Brief Report, we argue for including supports for multimodal teacher noticing in…

This article addresses why instructors choose to not use inquiry-oriented instructional practices (IO-IPs) even if they believe the practices are beneficial. A national sample of undergraduate mathematics instructors (N = 269) responded to questionnaires on their use of IO-IPs, beliefs on student learning, and recognition of professional…

We investigated how the time elementary preservice teachers (PSTs) spent studying certain mathematics topics during teacher education coursework was related to performance on teaching-related tasks administered after graduation. In two studies, participants completed tasks assessing their specialized content knowledge (SCK) for teaching 12…

This article contributes to the larger narrative around what makes a mathematics professional development (PD) successful and in what ways. We share a research-based PD model that was implemented in elementary schools in an urban school district for 3 years. The model uses a pseudo lesson study approach and emphasizes standards-based instruction.…

The field of mathematics teacher education has been moving collectively toward a common goal of preparing prospective mathematics teachers to teach with technology. In this article, we present findings from a national survey of accredited university secondary mathematics teacher education programs. The purpose of the study is to describe the…

Even when parents have the time required to support their children's education, they can increase their children's anxiety about school when they try to help, especially if they are not confident in their own abilities. This study measures the effects of having parents complete nonacademic schoolwork with their teenage children. Half of the 422…

What does it mean to be "good-at-math," and how is it determined? Cobb et al. (2009) defined the normative identity of mathematics classrooms as the obligations that students must meet to be considered good-at-math. Obligations are negotiated between teachers and students through series of bids. Normative identities reveal distributions…

This study proposes "task of teaching" as an organizer of dimensionality in teachers' subject matter knowledge for teaching (SMK) and investigates it in the context of measuring SMK for teaching high school geometry (SMK-G). We hypothesize that teachers use different SMK-G in different aspects of their teaching work and that such…

Cooney, Shealy, and Arvold (1998) wrote a widely cited article describing the belief structures of prospective teachers and argued that the structures can aid in describing how beliefs change and the influence of authority on the individual. We investigate the impact of this manuscript on the field. To do this, we conducted a literature review (n…

This multimethod study draws on theories of teacher care, dispositions, and culturally relevant pedagogy to examine how 12 urban mathematics teachers' perceptions of their own care practices align with their Black and Latinx students' (n = 321) sense of connectedness in the mathematics classroom. A qualitative analysis of in-depth interviews with…

A major influence on mathematics teachers' instruction is their beliefs. However, teachers' instructional practices do not always neatly align with their beliefs because of factors perceived as constraints. The purpose of this article is to introduce a new approach for examining the relationship between teachers' beliefs and practices, an approach…

This study examined the genre of undergraduate mathematical proof writing by asking mathematicians and undergraduate students to read 7 partial proofs and identify and discuss uses of mathematical language that were out of the ordinary with respect to what they considered conventional mathematical proof writing. Three main themes emerged: First,…