Middle school math students are underperforming on teacher-created assessments and assignments, state assessments, and nationally normed assessments, such as the Measures of Academic Performance (MAP) and the National Assessment of Education Progress (NAEP). Only 35.7% of sixth graders in South Carolina scored "meets or exceeds…

Correct specifications of hierarchical attribute structures in analyses using diagnostic classification models (DCMs) are pivotal because misspecifications can lead to biased parameter estimations and inaccurate classification profiles. This research is aimed to demonstrate DCM analyses with various hierarchical attribute structures via Bayesian…

This quasi-experimental study was designed to investigate the initial efficacy of a fraction-vocabulary intervention for Grade 4 students with mathematics difficulty (MD) and to explore its impact on relevant fraction competencies. Thirty-three students were assigned to either the intervention condition (n = 16) or a business-as-usual comparison…

This study aims to develop a scale to identify the factors influencing mathematics teachers' grading practices regarding students' in-class performance. The study was carried out with 180 secondary and 140 high school mathematics teachers from the southwestern region of Türkiye. The scale's construct validity was determined using item analysis,…

We investigated what high school mathematics teachers and their students noticed about students' mathematical engagement to develop a framework for teachers' and students' noticing of mathematical engagement. This framework offers clarity about the complexity of engagement, and it includes three elements: evaluations of the valence of engagement…

Background/Context: Developing strong number sense and additive reasoning in the early grades is a critical foundation for success in school and beyond. Longitudinal studies show that early competence with number and operations predicts later math achievement, reading achievement, high school retention rates, and employability and wages in…

Drawing on data collected from one coaching cycle during mathematics instruction for one coach-teacher dyad, this study explores one instructional coach's discursive enactment of their coaching stance. Qualitative analyses indicate that there was dissonance between the coach's stance for coaching and their discursive enactment of coaching, and…

Teaching observation protocols serve purposes beyond research, such as providing formative feedback for teachers' growth in their practice. Such observation tool usage requires different approaches for validation. For this reason, we developed the formative teaching evaluation framework adapted from the student-assessment literature. We used this…

Units coordination, defined by Steffe (1992) as the mental distribution of one composite unit (i.e., a unit of units) "over the elements of another composite unit" (p. 264) is a powerful tool for modeling students' mathematical thinking in the context of whole number and fractional reasoning. This paper proposes extending the idea of a…

As digital technologies become a commonplace in mathematics classrooms, they transform the ways students and teachers interact with mathematics. Students learn to use a technological tool for solving mathematical tasks through a process known as instrumental genesis. Teachers' support for this process is known as instrumental orchestration. In…

While many community college (CC) students come to higher education with specific career or life goals, these aspirations may be forced to change if students are not able to get past the gatekeeper of remedial mathematics coursework. Racially minoritized students are disproportionately tracked into non-credit-bearing remedial (NCBR) mathematics…

Prior research suggested that all students were not treated equally in the educational setting and that boys perform better than girls on standardized tests. The purpose of this quantitative study was to examine how class composition affected performance on the math section of the Educational Records Bureau (ERB) test and Preliminary SAT (PSAT)…

This dissertation seeks to investigate how digital gestures connect to students' mathematical understanding when playing "From Here to There!" (FH2T). This investigation explores the intersection of three fields, game-based learning, embodied cognition, and mathematics education. I used three studies which break down the different…

Mathematics was considered to be a universal language that God used to write the book of nature. Many of the greatest mathematicians (such as Descartes, Leibniz, Euler, Cantor) saw their mathematical work as a way to have a clearer insight into the existence of God and His infinity, as well as to glorify His name. This paper explores the…

This paper examines Black Algebra I educators' perceptions of their experiences in a professional learning community, "Algebra I Academy," designed specifically to equip Black Algebra I educators with liberatory pedagogical practices for their instruction with Black students taking Algebra I. Utilizing survey and focus group data from…