Number books are an effective tool to increase math talk and promote children's mathematical thinking, but little is known about book genre effects. How do different types of number books impact mathematical input? This study examined whether book genre affects the amount and types of teachers' math talk. Using a within-subjects design, we asked…

National and international assessments consistently report gender differences in mathematics, with boys scoring higher than girls. This study aims to explore whether the gender gap has been overcome in mathematical competence; as well as to check what similarities and differences there are according to the school effectiveness, educational stage,…

In the first part, we investigate Birman, Ko, and Lee's left canonical form of a braid and give a new diagrammatic approach. We use the left canonical form to characterize almost strongly quasipositive braids. In the second part, we investigate students' confidence in mathematics and problem solving skills. Every math instructor has heard students…

Given the increased focus of educational research on what works for whom and under what circumstances over the last decade, educational researchers are increasingly turning toward mixture models to identify heterogeneous subgroups among students. Such data are inherently nested, as students are nested within classrooms and schools. Yet there has…

Mathematics education research tends to center on what Mathematics Teacher Educators-Researchers (MTERs) work on or the people (teachers and students) they work with. Rarely, research in mathematics education focuses on MTERs working with one another. This article decenters from these traditional foci and instead examines a heterogeneous group of…

Well-designed academic interventions can give students the targeted support they need to build confidence, improve specific skills, and reach their full academic potential. This Spotlight will help you measure the connection between tutoring, attendance, and better test scores; identify effective practices for tutoring; learn how to simultaneously…

This study aims to describe preservice mathematics teacher knowledge of higher order thinking skills in terms of definition, Bloom's taxonomy level, curriculum, learning, and evaluation. This research is quantitative research with a survey method. and sample consisted of 248 preservice mathematics teachers in semesters VI-VIII of the Department of…

This article brings critical and postcolonial theories together with extended ethnographic research in a predominantly Latinx high school in California's "South Bay" to theorize the co-production and co-naturalization of mathematical and racial essentialization. Analysis of vignettes and interview excerpts illuminates both student uptake…

I use Toni Morrison's "Paradise" as a backdrop for framing a "Black Liberatory Fantasy" (Martin et al., 2019) that is rooted in what Dumas and ross ("Urban Education," 51(4):415-442, 2016) have conceptualized as BlackCrit. The goal of the current undertaking is to evaluate anecdotes of this working idea of paradise,…

An algebraic model uses a set of algebraic equations to describe a situation. Constructing such models is a fundamental skill, but many students still lack the skill, even after taking several algebra courses in high school and college. For such students, we developed instruction that taught students to decompose the to-be-modelled situation into…

Noticing is an essential skill for all teachers of mathematics. Mathematics teacher educators have utilized a variety of tools to practice and develop preservice teachers' (PSTs') ability to notice, which we extend to include photographs and learning trajectories. This article explores PSTs' noticing skills by analyzing work samples from a methods…

Measuring opportunities to learn (OTL) is crucial for evaluating education quality and equity, but obtaining accurate and comprehensive OTL data at a large scale remains challenging. We attempt to address this issue by investigating measurement concerns in data collection and sampling. With the primary goal of estimating group-level OTLs for large…

Number line estimation has been found to be strongly related to mathematical reasoning concurrently and longitudinally. However, the relationship between number line estimation and mathematical reasoning might differ according to children's level of performance. This study investigates whether findings from previous studies that show number line…

Education research has recently seen the emergence of two distinct frameworks guiding the application of quantitative methods through a more critical and equity-oriented lens. These two frameworks are critical quantitative (CritQuant) studies and quantitative critical race theory (QuantCrit). Although different in their intellectual traditions,…

Creative thinking transforms existing information, either from long-term memory or external sources, into new representations and innovative ideas. Creative thinking is an activity that processes received information to produce new representations and innovative ideas. Developing this skill is essential for students; however, recent research has…