Geometry processing holds a foundational position within the realm of computer graphics, with advancements in this field regularly published at SIGGRAPH annually. The journey from writing the paper to implementing the algorithms is a meticulous and error-prone process, demanding significant dedication and attention to detail. Authors frequently…

Spatial ability is a multifaceted construct with demonstrated ties to success in mathematics and gesture production. Recent empirical work has also begun investigating whether targeted interventions for spatial ability can transfer to mathematics but are often limited to specific populations and specific math outcomes. Spatial anxiety has been…

Researchers have identified many ways that students think about rectangular area. However, research about students' understanding of triangle area is relatively scarce. Although it may seem simple to apply the triangle area formula, there is more to students' understanding of triangle area. In this dissertation, I obtained data to help answer the…

Mathematical justifications offer an approach to which students deepen and extend their mathematical thinking. This process has the potential to enhance students' conceptual understanding. Mathematical practices and process standards ask students to use critical thinking skills to justify their reasoning, but this is usually seen as proofs in high…

The present study was conducted to determine how implementing computational thinking (via a proxy in AP Computer Science Principles) into a school's curriculum impacted student proficiency rates on the New York State Geometry Regents. Recent research has suggested that computational thinking is a skill that transcends specific content areas and…

Over the past thirty years, research on teachers' mathematical knowledge for teaching (MKT) has developed and grown in popularity as an area of focus for improving mathematics teaching and students' learning. Many scholars have investigated types of knowledge teachers use when teaching and the relationship between teacher knowledge and student…

The purpose of the study is to enumerate the representations in high school geometry, to narrow the focus to the most common ones, and to describe how the common representations are coordinated. To achieve this purpose, I analyzed several sections of a popular geometry textbook using thematic analysis, semiotics, and a pragmatic approach to…

The study examined the effects of a new game mechanic on collaborative learning and mathematical discourse when playing a digital geometry puzzle game. For this study, two new versions of the game "Noobs vs. Leets" were developed. Both versions of the game teach the concepts of complementary and supplementary angles and the angle sum…

The purpose of my study was to determine the effectiveness of using dynamic geometry software while exploring the properties of quadrilaterals. Dynamic geometry software can be effective if used properly in the exploration process as students construct their own knowledge through constructivism. Students were given the Van Hiele Test as a pretest…

Geometry is a complex subject to teach and learn at all levels in education. Poor performance in geometry in Bermuda has raised concerns about whether teachers are fully prepared to deliver content effectively. The purpose of this research was to examine teachers' efficacy in the geometry classroom using a basic qualitative study design. The study…

Dynamic Geometry Environments (DGEs) are popular tools in the exploration of geometry. This research is designed to explore the confidence of undergraduate mathematics students as they make mathematical statements when completing geometric tasks using DGEs. Students completed two series of tasks in both Euclidean and hyperbolic geometry. The first…

Geometry education is an important aspect of STEM education and career development, but it is often overlooked in K-12 education in the United States. Although there is some research on teaching geometry to students with learning difficulties at the elementary level, there is a lack of research on teaching advanced geometry skills at high school…

The purpose of this case study was to explore the nature of instructors' gestures as they teach Euclidean transformations in a synchronous online setting, and to investigate how, if at all, the synchronous online setting impacted the instructors' intentionality and usage of gestures. The participants in this case study were two collegiate…

The main purpose of this qualitative study was to investigate the challenges faced in teaching, learning, and technology in online geometry classes. The perspectives of online geometry students and teachers provided insights into the effectiveness of online geometry learning. A qualitative descriptive design was used to gain insights into the…

The purpose of this study was to gather teacher and parent perceptions about a collective approach to PLCs and their impact on student achievement in Algebra 1, Algebra 2, and Geometry. This research, carried out as a single case study at a high school in West Tennessee, used a qualitative research method to identify which PLC structure, whether a…