Research indicates that institutions and teachers' pedagogical and content knowledge are essential to student learning and achievement. Nevertheless, teachers' knowledge and practices have been researched primarily in K-12th grades. Therefore, there is a gap in understanding teaching practices in higher education. Moreover, research has forgotten…

Though teacher education programs must document candidates' teaching dispositions, there is a gap in the literature around what faculty may learn by observing students in contexts outside of the k-12 classroom. This case study explores what faculty may learn about teaching dispositions by observing tutors. For our study, three mathematics…

Parental involvement in schooling has been shown to have a positive impact on children's educational outcomes. With changing mathematics curricula and pedagogical approaches as a context, we explore how mathematical dispositions emerge through gendered and classed experiences with mathematics homework. We share the experiences of mothers from…

The increasing use of computerization in the testing industry and the need for items potentially measuring higher-order skills have led educational measurement communities to develop technology-enhanced (TE) items and conduct validity studies on the use of TE items. Parallel to this goal, the purpose of this study was to collect validity evidence…

Tychonov's 1935 solution of the heat equation, exhibiting nontrivial heat fluxes spontaneously appearing along an isolated conducting rod initially held at zero degrees, has intrigued some specialists for almost a century. No doubt those practicing heat engineers who took mathematics seriously were initially relieved to learn that the construction…

The coordinate system is a fundamental tool for many daily activities, yet it is usually taught to children in middle school. Research suggests that children should be exposed to the coordinate system at a younger age, using methods appropriate to their developmental level. This paper presents a set of instructional activities designed to teach…

Having access to highly qualified and effective mathematics educators is paramount to creating a populace of problem solvers that can contribute to society as needs evolve and technology advances. Current teacher shortages are a problem facing the American education system. The teacher shortage is perpetuated by low enrollment in traditional…

This study examined potential bias with respect to perceived gender and race in pre-service teachers' professional noticing of children's mathematical thinking. The goal of the study was to explore emerging connections between professional noticing and equity concerns in mathematics education and discover the extent to which such noticing may be…

Beginning with debates about the effects of smoking on lung cancer, sensitivity analyses characterizing the hypothetical unobserved conditions that can alter statistical inferences have had profound impacts on public policy. One of the most ascendant techniques for sensitivity analysis is Oster's (2019) coefficient of proportionality, which…

PWW style are presented. The difference of evidence is based on various additional auxiliary constructions, which in itself is a "mathematical art" that the student can master as a result of much practice. The PWW are accompanied by GeoGebra applets containing HINT buttons that allow the student to get step-by-step help in completing the…

There are many paths to becoming an active researcher in mathematics education. This article describes one ideal path. It begins with identifying a useful educational background prior to entering a doctoral program. Then it offers some suggestions for selecting an institution to pursue a doctoral program. The article outlines some academic…

In this paper, we show some properties of centroids of geometric figures, such as triangles, quadrilaterals and tetrahedra. In particular, we will prove the properties by means of geometric transformations and by introducing extensions of triangles and quadrilaterals, i.e. by adding one, two or three new vertices to the figure. The study of these…

This paper presents an international research study of long-term professional development courses on modelling. It addresses the question of scaling-up professional development. So far, there has been much research on small-scale professional development courses, but we know very little about what it means to scale up such a course and to reach…

Background: Research on educational leadership has transcended the international sphere. Numerous studies have been developed on this factor of educational improvement. Few is their number, contextualized in the mathematics area and specifically the teachers. Methods: This paper presents a systematic review that highlights the importance of school…

Within the CCC system, mathematics has been identified as the most considerable barrier to persistence, transfer, and degree completion (Cooper et al., 2022). Recent research corroborated the notion that mathematics serves as a gatekeeper for Black and Latinx students; historically, this subject has impeded students of color from accessing…