Though statistical testing is commonly practiced, the logic of statistical tests is confusing, thinking about distributions is difficult, and the way statisticians formulate expectations as probability distributions is poorly understood. To support instruction, the statistics education community has increasingly utilized simulation-based…

The problem examined in this qualitative case study was that Math I scores of high school students do not meet the defined state proficiency standards in North Carolina despite current instructional strategies. Because high school students are not proficient in Math I standards, it is causing the student to get further behind in math and the…

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…

Digital Game-Based Learning (DGBL) demonstrated a positive impact on students' motivation, engagement, knowledge acquisition, and many other areas. However, all the benefits DGBL can offer for the classroom do not seem to be enticing enough to persuade classroom instructors to implement DGBL in their classroom. There is a disconnect between…

This dissertation is guided by my driving research question: what works for whom in education and why? I examine issues of instruction, assessment, and research approaches that begin to answer this question. Study 1 examines a classroom intervention's child x instruction interactions. Study 2 examines underlying cognitive factors, including…

This study investigated the effect a computer intervention program has on student proficiency in the Algebra 1 End of Course (EOC) examination. This study utilized the intervention math program IXL Math, a computerized program that targets individual students' skill practice and supports students' need to accelerate mastery of Algebra 1 skills in…

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…

Many students arrive at colleges and universities underprepared for college-level mathematics courses. In the United States, these students are required to complete developmental mathematics courses before completing the required mathematics courses for their degrees. Students who are required to take developmental mathematics courses frequently…

This quantitative, causal-comparative ex-post-facto study primarily examined differences in mathematics achievement between Latinx English Learner (EL) fourth-grade students instructed in English and Spanish within one-way dual/developmental additive elementary bilingual language programs but tested in English. Additional analyses examined the…

Developing a positive relationship with mathematics in early elementary is vital for success in future mathematics education. Students who do not develop an understanding of mathematical number sense in early grade levels struggle to make connections in later courses. Mathematical discourse sessions, specifically Number Talks, encourage students…

Mathematical literacy and numeracy are critical for students during school and post-graduation, however, many U.S. students do not develop the mathematical skillset needed for college or the workplace, despite curricular importance placed on solving problems encountered in mathematics classrooms and spaces. Part of this skillset for critical…

The math intervention program, Assessment and Learning in Knowledge Spaces (ALEKS), at a Public Middle School (pseudonym) in the Northeast United States, was implemented for eighth grade middle school math students, but researchers have not measured its effectiveness. Grounded in the cultural relevance pedagogy, the purpose of this quantitative…

This mixed methods action research study examined the implementation process and impact of a 9-week Number Talk intervention to build number sense in kindergarten students. Fifty-eight kindergarten students engaged in daily Number Talk lessons for 9 weeks. Qualitative data were collected to evaluate the strengths and challenges of the…

This study focuses on a problem of practice at George County Middle School, a 6-8 middle school located in central Kentucky. The achievement gap between English Language learners and non-english language learners continues to grow wider as students' progress through their educational career. As a result, English learners are being…

Errors in mathematics are common hurdles for teachers and students; therefore, it is important to learn what errors students make and how students treat them. This study initially identified the types of errors students made while working with algebraic expressions and documented and analyzed the process of students completing an error analysis…