Discovering the implications of a theorem takes time. This process relates to fundamental theorems, such as the Pythagorean theorem, and practically has intemporal ramifications. After all, new proofs are still being discovered today (Scimone, 2009). The theorem in itself is not changing, but rather our perspective of it is. That is, the…

This article is the fourth in a series of activities that discusses some interesting relationships with triangles. Brian Sherman shows an activity demonstrating Euler's Theorem, which gives the distance from between the circumcentre and the incentre of a triangle.

This dissertation is on the topic of sameness of representation of mathematical entities from a mathematics education perspective. In mathematics, people frequently work with different representations of the same thing. This is especially evident when considering the prevalence of the equals sign (=). I am adopting the three-paper dissertation…

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…

The purpose of this study is to develop tests for monitoring the number sense skills of primary school students based on proficiency definitions and to compare their number sense skills according to gender, school type, and mother's educational level. The first stage addressed to test development in which anchor items were used for vertical…

Although the educational potential of social media has been widely acknowledged, it remains unclear whether social media use might present opportunities for the development of math identity. This study drew on the socialization framework of math identity to examine the relationships between social media use for math learning, bicultural identity…

Research and education stakeholders in the United Kingdom (UK) acknowledge math anxiety as a detriment to learning math and associated with performance deficits, avoidance, and limiting career opportunities. Support approaches and strategies have typically focused on instruction and emotion regulation, but not necessarily in younger children using…

This curated collection covers a selection of PRIMUS articles published over a roughly 12-year period that focus on modeling and applications. The collection includes sections on individual projects, courses with a significant modeling component, and modeling and applications in extracurricular settings and throughout the curriculum.

This study was conducted to reveal potential sources of students' difficulty and misconceptions about geometrical concepts with the help of eye tracking. In this study, the students' geometrical misconceptions were explored by answering the questions on the geometry test prepared based on the literature and test-taking processes and represented…

Many U.S. students possess only a weak knowledge of fraction arithmetic. I hypothesize that textbooks are a critical reason for students' poor performance on fraction arithmetic. This is not because of what textbooks contain but rather because of what they lack. Distributions of fraction arithmetic problems in textbooks are imbalanced, with…

This case study examined teachers' perceptions and use of adaptive diagnostic assessment for improving teaching and learning of elementary-level mathematics. The purpose was to understand how the teaching and learning of mathematics occurred in the classroom and changes that transpired due to the implementation of diagnostic assessments. Findings…

Many undergraduate students avoid mathematics classes due to math anxiety. This curtails options, particularly STEM majors where workers are needed and jobs are prevalent. This study aimed to investigate whether self-efficacy, mindfulness, and self-compassion predicted math anxiety. Participants of this study were undergraduate students (N = 345)…

In recent decades, research has stressed the prominence of mathematics classroom discussions in productive instructional practices in mathematics instruction. In this context, problem-solving activities have been a common focus of research. Research shows that teachers need to deal with prerequisites and challenges such as norms, design of tasks,…

There is a substantial amount of literature focusing on the importance of culturally relevant teaching that emphasizes connecting the school's curriculum with the culture of students. This approach can be accomplished through the concept of ethnomathematics. Ethnomathematics studies how cultural groups practice and use math in daily activities…

Despite recent efforts to support learners from traditionally minoritized backgrounds in mathematics, inequities in math achievement and participation still exist, particularly for women and people of color. Additionally, much of how math is taught in schools aligns with a particular epistemology that comes from western mathematicians and…