In the field of educational leadership, there is some work around the preferred theories of scholars, but little to no research on how the chosen theories are subsequently applied. Better understanding the purpose, role, and depth of how theory is used in educational leadership can help inform the teaching and mentorship of aspiring leaders and…

The purpose of this study was to develop a multidimensional College Mental Health Assessment Inventory (CMHAI) specifically for the college student population. In the first phase, a conceptual and theoretical review of general existing scales was performed, followed by conducting exploratory semi-structured interviews with twelve participants.…

Integrated science, technology, engineering, and mathematics (iSTEM) education allow learners to utilize multiple disciplinary perspectives. However, the discipline of mathematics remains underrepresented in iSTEM curriculum. To explore the nature of mathematical thinking with an iSTEM curricular approach that emphasizes mathematics, we…

Learning progressions have become an important construct in educational research, in part because of their ability to inform the design of coherent standards, curricula, assessments, and instruction. In this paper, I discuss how a learning progressions approach has guided our development of an early algebra innovation for the elementary grades and…

Isomorphism and homomorphism appear throughout abstract algebra, yet how algebraists characterize these concepts, especially homomorphism, remains understudied. Based on interviews with nine research-active mathematicians, we highlight new sameness-based conceptual metaphors and three new clusters of metaphors: sameness/formal definition, changing…

This study explores a spatial reasoning learning trajectory of a student with difficulty in mathematics. Using a teaching experiment methodology across 15 instructional sessions, we observed how the student responded to instruction based on an established 2D shape composition learning trajectory (Sarama & Clements, 2009). A narrative…

Describing and measuring instructional quality of mathematics lessons is a common goal amongst mathematics education researchers. Such work takes several forms such as classifying and coding instructional moves and student activity or providing high-level rubric-based scores in relation to categories. In this work, we share an innovative mixed…

In this paper, we present the development of an investigation on the promotion of covariational reasoning in high school students (14-15 years old) in Mexico. The study consists of designing and applying a sequence of didactic activities that simulate a real situation virtually. The activities are organized through a Hypothetical Learning…

For the past 20 years Massachusetts has used a high-stakes, test-based accountability system for the state's public schools. The Massachusetts Comprehensive Assessment System (MCAS) are standardized tests administered in Grades 3-10 which account for the majority of district and school accountability measures, and the Grade 10 tests serve as an…

The purpose of this PLC-informed qualitative interview case study was to explore middle school teacher methods for cultivating student autonomy and the rationale behind their instructional choices. Here, student autonomy was defined as learners taking ownership of their academic performance and scholastic responsibilities (Holec, 1981). The…

This qualitative embedded single case study explored the teacher competencies and instructional strategies used in classroom one-to-one implementations. The specific problem was that school administrators have spent significant amounts on one-to-one technology without substantial change in teacher practices, causing limited benefits to students…

The "Teaching, School, and Principal Leadership Practices Survey" (TSP) was developed to give schools robust data about key practices that research has shown are worth paying attention to because of their direct and indirect effects on student learning. Drawing the data together from all participants schools in any given year creates a…

Researchers in mathematics education have focused on teacher beliefs as an important area of study because of their influence on teaching practices. In this study, we focused on two aspects of beliefs, the nature of mathematics and the teaching and learning of mathematics, with eight pre-service mathematics teachers (PMTs) to explore alignment…

This paper outlines the rationale for, and some elements of, a particular approach to teaching and learning mathematics in the early years. The researchers worked with two school systems to offer both centrally delivered and school-based teacher professional learning, which included the application of illustrative teaching resources. The project…

The senior secondary Mathematical Methods subject was introduced in Queensland in 2019 and parents were concerned with the low grades attained. Students in the subject need to develop extensive procedural knowledge and fluency to participate and engage successfully. This mixed methods study informed by constructivism investigated teachers'…