Evidence-based mathematics interventions are critical for supporting students with mathematics difficulties. In research and practice, collecting implementation fidelity is important for ensuring that all the core components of the intervention are implemented as designed. Historically, implementation fidelity has been defined as multi-faceted…

This dissertation documented how undergraduate students made sense of data in news media. The participants were 30 undergraduate students enrolled in a course called "Numbers and Social Justice." The study used argument analysis (Toulmin, 2003) and ethnographic methodology to examine students' written work in a naturalistic setting.…

The interpretation of numerals has been traditionally debated across disciplines including, but not limited to, Linguistics, Developmental Psychology, and Philosophy. A big portion of the debate concentrates on the ontology of numerals, i.e., their basic meaning, and the mechanisms by which (non) exact interpretations (e.g., at least) are derived.…

Number sense is a key indicator of students' future academic success. Students from low socio-economic backgrounds often come to kindergarten lacking number sense skills that other students acquire before they begin formal schooling. Small-group intervention that is focused on number sense skills is an effective way to address this foundational…

Students in developmental math classes have been documented to struggle with arithmetic. This dissertation research was a response to the calls in the literature to qualitatively understand what students are learning in a classroom. Number sequences have been well researched to document the connection of student understanding of math in elementary…

The problem addressed in this study was approximately 50% of adult learners enrolled in adult basic education (ABE) classes do not have an educational learning gain in mathematics and numeracy from ABE coursework (National Reporting System, 2022) and were often not promoted to the next level (Smith, 2022). The purpose of this quantitative ex post…

The algorithm for fraction multiplication is relatively easy to memorize and implement with accuracy. The simplicity of the algorithm masks the conceptual complexity involved in making sense of what fraction multiplication means in quantitative situations. One important interpretation of fraction multiplication involves fraction composition,…

Preparing graduates for employment is the goal of postsecondary education. In response to the national quantitative reasoning deficiency, institutions have joined nationwide to align college math content and learning outcomes to meet the needs of common careers and everyday life. The problem addressed in this study is that traditional college math…

The Home Numeracy Environment (HNE) is an essential factor that helps explain children's numeracy skills. Research in this field has been developed mostly focused on monolingual English-speaking families. More recent studies have analyzed this construct for Latine families using existing HNE measures. However, the existing HNE scales have not…

Mathematical reasoning, a fundamental aspect of human cognition, poses significant challenges for artificial intelligence (AI) systems. Despite recent advancements in natural language processing (NLP) and large language models (LLMs), AI's ability to replicate human-like reasoning, generalization, and efficiency remains an ongoing research…

As universities contend with high rates of student attrition from intended STEM majors, due to many students' difficulty in passing entry-level mathematics courses, they must examine the systems they have in place and determine how best to support these students. Historically, graduate teaching assistants (GTAs) are assigned to introductory…

Mathematics plays a crucial role in engineering education. Students who are good at math are often advised to consider engineering as a career. In this study, engineers, mathematics teachers, and engineering professors were asked about the type of mathematics representative of engineering, whether the engineering problems created by math…

Career and technical education (CTE) is a vital education model in 21st century America. Furthermore, disciplinary literacy has gained traction over the last 20 years as an essential way to develop literacy skills across content areas. However, most disciplinary literacy studies focus on the academic subjects of English, history, science, and…

Adult education programs serve students with low literacy and numeracy skills. They provide instructional services below the postsecondary level for students who have limited English proficiency and students who are working towards obtaining their high school equivalency. Once adult education students complete their programs, they may choose to…

Research suggests that mathematics achievement is associated with future socioeconomic success and opens the possibility of social mobility for many individuals. However, disparities in mathematics achievement indicators expose inequitable opportunities and inconsistent access to appropriate educational models for a broad range of students. This…