We report on an effort to vet a list of 10 student learning objectives (SLOs) for geometry courses taken by prospective geometry teachers. Members of a faculty online learning community, including mathematicians and mathematics educators who teach college geometry courses taken by prospective secondary teachers developed this list in an effort to…

In this paper, we extend our previous work on challenges teachers face when engaging with proportional reasoning contexts to investigate two contexts that included four problems for middle grades teachers to solve as well as eight student solutions. Analysis included coding for correct solving of the problem as well as making sense of and…

This paper examines the ways in which multilingual educators view the development of their own professional identity as teachers of reading and literacy. Teachers who themselves possess biliteracy knowledge and skills are well-positioned to leverage their own understandings of language and literacy to engage their students' development in making…

Mathematics teacher educators have suggested that preservice mathematics teachers' (PMTs') practices provide evidence of their Mathematical Knowledge for Teaching (MKT). In an effort to explore connections between MKT and PMTs' practices, we developed a framework that operationalizes Ball et al.'s (2008) six MKT domains in terms of approximations…

This paper presents an ongoing comparative study of secondary teachers' education programs in France, Greece, and England, with a primary focus on strategies aimed at cultivating a positive learning environment in schools. Recent studies have underlined the significance of teachers' pedagogical competence formation as a determinant element which…

As a component of a course on geometry for preservice elementary teachers (PSTs), we derive area formulas for a variety of polygons including triangles, quadrilaterals, and both regular and irregular shapes whose areas can be measured empirically using decomposition. Decomposing a circle to justify why its area can be measured using the standard…

Stephens (2008) described structural thinking as an awareness of the way different occurrences of a mathematical property develop into correct generalisations. Many primary pre-service teachers (PSTs) graduate from their tertiary studies without the ability to notice structural thinking. In this study, two primary PSTs learned to notice structural…

In this study, we investigate the relationship between teachers' noticing and the quality of their mathematics instruction. We analyzed the conversation of seven elementary teachers around five coaching cycles and scored their level of noticing and the mathematical quality of the instruction of the lesson. We compared teachers' noticing levels…

Classroom instruction in China and in the United States have sharp differences. Typically, constructivist learning theory shapes American classroom instruction whereas Confucian educational culture shapes Chinese classroom instruction. Furthermore, typically, Chinese classrooms adopt a direct instructional approach whereas American classrooms…

The majority of Emergent Bilinguals (EBs) in the United States come from Hispanic backgrounds. Although a relatively smaller number of EBs attend rural schools, there remains a dearth of research on what rural secondary teachers know and do with EBs to support their learning. In order to accept educational responsibility for all EBs, we must…

This study examined middle and secondary mathematics teachers' knowledge structures and informal inferential reasoning (IIR). Using task-based clinical interviews (Goldin, 1997) and cross-case analysis, nine teachers responded to four LOCUS assessment tasks (Jacobbe, 2016). Responses were used to construct knowledge structure maps for measures of…

Prospective teachers (PTs) need opportunities to develop fraction number sense, yet little research has explicated how this development occurs. Our research team collaboratively designed a task targeted at helping PTs develop fraction number sense through an exploration of fraction comparison strategies. This paper focuses on developing one…

This study evaluated the efficacy of the Word Learning Strategies (WLS) supplementary program to improve elementary students' vocabulary skills and reading comprehension. The study used a multi-site cluster randomized, experimental design, which randomly assigned 92 4th grade classrooms (n=2558 students) from two cohorts to a treatment or control…

Mathematics teacher educators are faced with designing teacher in-service professional development experiences for developing and transforming Technological Pedagogical Content Knowledge (TPACK) towards integrating digital technologies as mathematics learning tools. Online environments provide opportunities to a broad range of teachers, yet, the…

Talk moves simulations were used in tutorials for a mathematics education unit. Pre-service teachers (PSTs) and tutors were surveyed about their perceptions of the purposes, benefits, and drawbacks of the simulations. There was strong support from both groups for the benefits of talk moves in developing PSTs' ability to manage discussions, ask…