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…

Geometry is a strand of mathematics that can benefit individuals in many areas of life. Test results, such as the TIMSS results, indicate that geometry is an area for growth among American students. With a need for students to better understand geometry, several academic standards have been created to direct geometry instruction in the United…

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…

This purpose of this paper is to deepen the understanding for a problem of practice in the mathematics educators' classroom of low retention of information thus leading to poor mathematics achievement. The identification of the problem of practice led to a development of a research focus examining the effects of using intelligent tutoring software…

The purpose of this mixed-methods study was to investigate the relationship between teachers' conceptions of mathematics and their use of intelligent tutoring systems for mathematics instruction. Intelligent tutoring systems are adaptive computer programs which administer mathematics instruction to students based on their cognitive state. A…

This study examined the effects of a dynamic geometry software (DGS) program, GeoGebra, on student engagement and student achievement on students in four geometry classes at a secondary school in Belize. Two teachers and 139 students in ninth grade were part of this study for three weeks during a geometry unit. There was a control group that was…

This study examined teachers' use of student tasks involving dynamic geometry software, in which a figure is constructed then altered while maintaining its constructed properties. Although researchers, professional organizations, and policy makers generally have been proponents of dynamic geometry for instruction, there is little research about…

This dissertation was conducted in a gendered academy in a low-income community in northern Indiana. The study examined how involvement with inquiry-based mathematical tasks embedded in a curricular unit impacted the geometric reasoning of elementary aged African-American males. The curriculum included activities focused on angles, lines and…

While many studies examining the effectiveness of using dynamic geometry software exist, few studies exist at the elementary school level. An extensive data analysis of student performance on New York State Math Assessments revealed that students in the fifth grade may not have had a clear understanding of interior angles sums of polygons, more…