In the mathematical literature on analytical geometry, various notions of the conics' eccentricity correspond to different approaches to these curves. After making a comparative analysis of well-known textbooks to determine coincidences and differences between the various concepts of eccentricity, as well as how the authors explain the…

This study investigates geometry teachers' evaluations of problems that use visual arts contexts. We ask, "how do teachers' evaluations relate to the four arguments justifying the geometry course?" and "How do teachers draw on the APPRAISAL system to evaluate sample geometry problems from textbooks?" Nine high school teachers…

In the post-pandemic world, open educational resources (OER) have the potential to ensure educational equity by providing all students with access to learning materials and by supporting teachers' instructional practices through readily available, adaptable resources. However, the quality of OER continues to be a concern. Therefore, this study…

In our pursuit to broaden and deepen understandings of what it means to engage in an assessment activity, we explored the designing and implementing of a geometry performance task as an instantiation of authentic assessment to assess elementary school students' mathematics learning. Using participatory action research, we incorporated a…

This research study was conducted to identify core practices of enacting effective mathematics pedagogy with GeoGebra, a software application for teaching and learning mathematics. Eleven Ghanaian in-service mathematics teachers were engaged in a twelve-month professional development programme where they developed GeoGebra-based mathematics…

Purpose: In spring 2020, educators throughout the world abruptly shifted to emergency remote teaching in response to an emerging pandemic. The instructors of a graduate-level synchronous online geometry and measurement course for practicing school teachers redesigned their summative assessments. Their goals were to reduce outside-of-class work and…

Modern classrooms are often comprised of a heterogeneous student population with varying abilities. To address this variance, third-grade teachers implemented researcher-designed, pre-differentiated, and enriched math curricula in algebra, geometry and measurement, and graphing and data analysis. The goal of the curricula was to provide academic…

The middle grades are a critical transition period in students' mathematics trajectories, as students move from arithmetic to the more complex and abstract concepts of algebra. Teachers' and parents' judgments of students' math abilities in these years are important to instructional planning and decision making for teachers, and can advise parents…

Problems associated with recruiting, supporting and retaining quality teachers in the STEM areas have been well documented in the literature. Specifically, findings suggest STEM teachers have indicated a need for pedagogy and increased content knowledge. These needs may be attributed to the fact that more STEM teachers have been alternatively…

The purpose of the project reported in this article was to evaluate how assessing teachers' mathematical knowledge within a professional development course impacted from the teachers' perspective their learning and their experience with the course. The professional development course consisted of a 2-week summer institute and the content focus was…

This is the final external evaluation report prepared by SRI International for the Rural Math Excel Partnership (RMEP) project, an investing in innovation (i3) development project funded by the U.S. Department of Education. Operated by Virginia Advanced Study Strategies, Inc. (VASS), the RMEP project included six rural school districts (LEAs) in…

Research Ideas for the Classroom is a three-volume series of research interpretations for early childhood, middle grades, and high school mathematics classrooms. Each volume looks at research from the perspective of the learner, the content, and the teacher, and chapters are co-authored by a researcher and a teacher. Chapter titles in the high…

This document presents the proceedings of the 31st Annual Conference of the Mathematics Education Research Group of Australasia (MERGA). The theme of this conference is "Navigating Currents and Charting Directions." The theme reminds us that, although we are constantly pushed to account for the quality and impact of our research, we…

Research reports from the annual conference of the International Group for the Psychology of Mathematics Education include: "La construcion algorithmique: niveaux ou stades?" (Mesquita); "For Establishing the Generality of Conjectures" (Miyazaki); "Teachers' Attitudes Towards Mathematics and Mathematics Teaching:…

Research reports from the annual conference of the International Group for the Psychology of Mathematics Education include: "A Comparison of Children's Learning in Two Interactive Computer Environments" (Edwards); "On Building a Self-Confidence in Mathematics" (Eisenberg); "Classroom Discourse and Mathematics…