Most mathematicians state mathematics is a field of beauty, creativity, and innovation, yet what is echoed by students is not how mathematics allows students to explore, but rather the ways in which it constrains and does not necessitate creativity. In comparison, many students associate coding with freedom, and the ability to create and express…

This is a study of secondary mathematics teachers' use of a digitally enhanced educational technology called Interactive Diagrams (IDs). This study is concerned with the ways in which mathematics teachers use IDs as they plan and enact classroom activities involving this technology, as well as the factors that affect their ID use. Qualitative…

The purpose of this three study dissertation is to investigate why students are enrolled in introductory physics courses experience difficulties in being successful; one possible source of their difficulties is related to their epistemology. In order to investigate students' epistemologies about mathematics and physics, students were observed…

In this research, I set out to elucidate the relationships that might exist between students' conceptual understanding upon which they draw in their proof activity. I explore these relationships using data from individual interviews with three students from a junior-level Modern Algebra course. Each phase of analysis was iterative, consisting of…

This exploratory case study delves into the instructional design of a gamified online course. The study focuses on how the professor incorporated game elements into a graduate-level online course. Participants in the gamified course were pre- and in-service mathematics teachers. The qualitative case study used two sources of data, an interview…

Technology is now being utilized in schools in an effort to address the lack of engagement most students have experienced in mathematics when learning foundational skills at the elementary school level. While there are a number of studies that have described teacher perceptions of engagement through the use of technology during the school day,…

The purpose of this study was to understand the relationship between teacher discourse around social norms, student mathematical roles, and student mathematical explanations in the classroom. Mathematical explanations are important for learning mathematics and professional organizations encourage their use in the classroom. This study sought to…

The Georgia Department of Education requires students to earn 4 course credits in the area of mathematics in order to graduate from high school. Academic success for mathematics students in a school district in southern Georgia has been encumbered because teachers lack cultural competency in mathematics instruction, which has hindered minority…

Multiple approaches have been used in U.S. community colleges to address the learning needs of postsecondary students who are underprepared in basic skills math. The purpose of this exploratory interview study was to gain a deeper understanding of community college basic skills math learning through instructors' lived experiences using the…

The purpose of this phenomenological study was to investigate the perceptions that K-5 teachers have toward Georgia's mandated Early Intervention Math Program (EIP) on at risk learners in an elementary school in a rural, North Georgia community. The following questions guided the study: 1. How do K-5 teachers describe their experience with…

Continuity is a central concept in calculus. Yet very few students seem to understand the nature of continuity. The research described was conducted in two stages. Students were asked questions in multiple choice and true/false format regarding function, limit and continuity. These results were used to identify participants as strong, weak or…

There exists a dearth of research on strategies that will help students with disabilities gain greater access to standards-based mathematics and close the mathematics achievement gap between general education students and students with disabilities (Browder et al., 2012; Jitendra, 2013; van Garderen, Scheuermann, Jackson, & Hampton, 2009).…

In response to the low passing rate of its students with disabilities, administrators at a small urban elementary school in south Texas implemented coteaching. Guided by Nonaka and Takeuchi's collaborative learning framework, this qualitative instrumental case study was conducted to investigate the effectiveness of collaborative teaching in the…

There is ample literature documenting that, for many decades, high school students view algebra as difficult and do not demonstrate understanding of algebraic concepts. Algebraic reasoning in elementary school aims at meaningfully introducing algebra to elementary school students in preparation for higher-level mathematics. While there is research…

This phenomenological case study was designed to investigate the experiences educators encounter when implementing iPad technology into middle school math classrooms at a middle school in Northeast Texas. The growing popularity of the iPad mobile device has made the technology an attractive tool that can be implemented into K-12 classrooms,…