This study explores students' mathematical reasoning within a novel technological environment designed to support understanding of relationships between quantities and adjustable measuring units. In particular, 30 elementary students (grade 3-5) engaged in a series of measurement tasks in which they used a "dynamic virtual ruler" that…

The purpose of this phenomenological study was to describe, based on the teaching presence component of the Community of Inquiry (CoI) theoretical framework, the lived experiences of mathematics instructors while establishing teaching presence in online higher education mathematics courses. Teaching presence, which is one of the three core…

Intellectual humility is an intellectual virtue where humility and the pursuit of epistemic goods intersect. As of this dissertation being written, intellectual humility had been studied in psychology and philosophy, but not from the perspective of the teacher in 6th-12th grade mathematics. Hence, this Grounded Theory study sought to develop a…

Traditionally, post-secondary developmental mathematics courses aspire to equip students with mathematical content knowledge needed to succeed in calculus and subsequent STEM courses. The literature shows that this goal alone is insufficient, as the emphasis on content acquisition often comes at the expense of developing higher-order skills such…

To promote reversibility and strengthen number sense, the authors created an engaging and novel rational number exploration--Quotient Quandary Reversibility task (QQRT)--which promoted flexible and reflective thinking. A class of fifth-grade students took an active role in a collaborative learning task, discussed their strategies, revisited the…

This study examines one of the most important social concepts and perspectives in mathematics textbooks from first grade to 12th grade in Palestine, which is gender bias. To achieve the goal of this study, the researcher conducted a quantitative and qualitative content analysis of an interval sample of these textbooks. Content analysis is…

Background/Context: The Education Innovation and Research (EIR) grant program provides funding for creating and implementing innovative approaches to improving student achievement while rigorously evaluating the approach. The STEM.LD program was funded by a 2020 mid-phase EIR grant. It was designed in response to a growing need for individuals…

This study examined and compared teachers' perceived affordances of 360 video as a representation of practice and their professional noticing of students' mathematics in 360 videos. Data were collected from both preservice and inservice teachers (n = 34) enrolled in one of three mathematics pedagogy courses. Data included participant responses…

During the Spring 2020 semester, universities transitioned to online instruction to slow the spread of COVID-19. During this time, mathematics support/tutoring centers also moved their services online. We discuss best practices for online tutoring from the literature and the shared experiences of 28 tutoring center leaders who transitioned to…

We discuss an innovative course model used in first-year calculus courses at a large North American research university, which we refer to as the "Blended Model." We argue that our model takes the best features of lectures, flipped classrooms, and traditional recitations, and gathers them into a cohesive, robust structure that benefits…

The purpose of the current study was to evaluate the impact of co-taught integrated STEM methods instruction on preservice elementary teachers' self-efficacy for teaching science and mathematics within an integrated STEM framework. Two instructional methods courses (Elementary Mathematics Methods and Elementary Science Methods) were redesigned to…

In this paper, we propose a potential interactional explanation of tertiary-to-secondary (dis)continuity: that of authority relations. Using secondary mathematics teachers' proof validations across two contexts, we suggest that secondary teachers' conceptions of authority shape their capacity to reconcile their positions as former mathematics…

Homeschooling, where parents take on the prime responsibility for their children's education, is a growing phenomenon in Australia. Homeschooling is different from distance education or the education at home that has taken place in the COVID-19 pandemic in that the parents make all the decisions about their children's education, including…

The present study investigated the development of n = 129 early childhood teachers' mathematics content knowledge, mathematics pedagogical content knowledge, mathematics anxiety, and enjoyment of mathematics over 4 years from teacher training to practice. Latent autoregressive models with cross-lagged effects were applied. Scalar measurement…

The aim of this paper is to share part of an ongoing study in which we are interested in introducing a Gallery Walk (GW) as an instructional strategy to contemplate in the classroom, in the context of preservice teacher training for elementary education (6-12 years old), to promote students' mathematical knowledge and skills, through problem…