This study explored how a scenario-based (SB), one-semester professional development program influenced the instructional practices of preservice early childhood mathematics teachers. The participants completed a 15-week program in which they engaged with modeled in-class teaching experience and subsequently answered a number of questions that…

The paper introduces the notion of collateral creativity as an unintended outcome of the appropriate use of technology, both physical and digital, in the teaching of mathematics. The notion is motivated by Dewey's conceptual framework of collateral learning which enables one gaining knowledge beyond the intent of the traditional curriculum.…

Emergent graphical shape thinking (EGST) entails conceiving a graph as being dynamically generated via the trace of a moving point constrained by two changing quantities. As such, Paoletti et al. (2023) argue that meanings for quantities within a situation and meanings for graphical representations must be connected, or bridged, to engage in EGST.…

Instructors manage several tensions as they support students to engage in mathematical disciplinary practices such as defining, conjecturing, and proving. These tensions include honoring students' contributions while simultaneously apprenticing students to following mathematical norms. I present a case study of a teacher-researcher in a laboratory…

We examined the suggestions mathematics coaches provided to teachers as part of one-on-one coaching cycles. The purpose was to understand the object (content) of the suggestions, the lesson phase in which the suggestion would occur, and the clarity of the suggestion (how actionable the suggestion would be if the teacher followed the suggestion).…

Building Thinking Classrooms (Liljedahl, 2021) provides teachers with a new method of designing and sequencing tasks called "thin slicing," which emerged from variation theory. The results of the present study indicate that an analysis of the dimensions and ranges of variation within such a task offers insights into learning…

Preparing teachers to teach mathematics is at the intersection of the three areas where cultural and racial knowledge intersects with content and pedagogical content knowledge. Consequently, preparing teachers to teach mathematics must consider all peoples' practices. This highlights two Black girls marginalized by their teacher, which provides…

In this study, we examined one experienced mathematician's class practices, with particular attention to cognitive model described in genetic decomposition. Our findings indicate that students only had limited opportunities to be familiar with the first three steps in genetic decomposition, which may potentially lead students to answer limit tasks…

Learning to teach mathematics content courses designed for prospective elementary teachers (PTs) is challenging. Mathematics content instructors must be prepared to not only teach mathematics content, but engage PTs in understanding children's mathematical thinking strategies, learning trajectories, and misconceptions (Carpenter et al., 1996;…

Teacher collaboration is an increasingly important aspect of the professionalism of teachers: it is a way to reflect on and improve teaching practices. Teacher collaboration has been associated with teachers' professional growth and an increase in self-efficacy. However, policy makers and educational leaders must understand which structures of…

In Saudi Arabia, mathematics is an essential subject for all freshmen except students majoring in medical sciences. The struggle of students in mathematics is one of the most common issues in the last ten years (Khoshaim, 2015). According to Higbee and Thomas (1999), mathematics self-efficacy, along with other effective characteristics such as…

Middle school is a transitional period in which many students experience content-specific teachers, travel between classrooms, and explore extracurricular activity options for the first time. Historically, African American middle school students have not fared well in Science, Technology, Engineering, and Mathematics (STEM) on standardized…

Middle school is a transitional period in which many students experience content-specific teachers, travel between classrooms, and explore extracurricular activity options for the first time. Historically, African American middle school students have not fared well in Science, Technology, Engineering, and Mathematics (STEM) on standardized…

Young children, especially those from lower-resource communities, often do not have adequate exposure to robust mathematics instruction in preschool. Well-organized and focused early mathematical interventions can help young children develop a foundation of informal mathematics knowledge and lead to greater mathematics knowledge upon entry into…

Young children, especially those from lower-resource communities, often do not have adequate exposure to robust mathematics instruction in preschool. Well-organized and focused early mathematical interventions can help young children develop a foundation of informal mathematics knowledge and lead to greater mathematics knowledge upon entry into…