Categorical data become increasingly ubiquitous in the modern big data era. In this dissertation, we propose novel statistical learning and inference methods for large-scale categorical data, focusing on latent variable models and their applications to psychometrics. In psychometric assessments, the subjects' underlying aptitude often cannot be…

Analogy is a powerful learning mechanism for children to learn novel, abstract concepts from only limited input, yet also requires cognitive supports. My dissertation sought to propose and examine number lines as a mathematical schema of the number system to facilitate both the development of rational number understanding and analogical reasoning.…

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…

In this dissertation, I explore ways to support secondary school students' meaningful understanding of quadratic functions. Specifically, I investigate how students co-developed representational fluency (RF) and functional thinking (FT), when they gained meaningful understanding of quadratic functions. I also characterize students' co-emergence of…

Community colleges are continually being faced with pressures to use data to inform decisions. These pressures arise from a triage of factors, including accountability, accreditation, and student success initiatives. Yet, as these demands continue, research has shown that community colleges struggle to institutionalize data-informed decision…

Career technical education plays an important part in the mission of community colleges--providing educational opportunities needed by members of their communities. Career technical programs prepare students for entry into the workforce. Accountability standards for career technical programs, from local, state, and federal bodies, monitor…

Scientific results are communicated visually in the literature through diagrams, visualizations, and photographs. In this thesis, we developed a figure processing pipeline to classify more than 8 million figures from PubMed Central into different figure types and study the resulting patterns of visual information as they relate to scholarly…

This work is an exploration of upper elementary students' sense making around four conventional representations of function: equations with algebraic notation, Cartesian graphs, function tables, and natural language. The cornerstone to the empirical work is a task called the Function Puzzle, where students are given 16 cards representing four…

The purpose of this qualitative transcendental phenomenological study was to understand the meanings ascribed by multiracial male and female NCAA Division I student athletes in the Southeast region of the United States to the lived experiences of stereotype threat. Stereotype threat is a phenomenon that is boundless and can influence any…

Tabular data is pervasive in the form of spreadsheets and relational databases. Although tables often describe multivariate data without explicit network semantics, it may be advantageous to explore the data modeled as a graph or network for analysis. Even when a given table design conveys some static network semantics, analysts may want to look…

Text analysis has become an important research activity in the Department of Veterans Affairs (VA). Statistical text mining and natural language processing have been shown to be very effective for extracting useful information from medical documents. However, neither of these techniques is effective at extracting the information stored in…

There is a great deal of concern regarding teacher impacts on student achievement being used as a substantial portion of a teacher's performance evaluation. This study investigated the degree of concordance and discordance between mathematics teacher ranking using value tables and covariate regression, which have both been used as measures for…

This study investigates the usefulness of a Dynamic Geometry Task Analysis Framework for indicating task quality in dynamic geometry environments in general, and The Geometer's Sketchpad in particular. This research sought to first establish the validity of the framework for indicating task quality, and to second explore the effects of the…

The purpose of this study is to explore and describe the process of alliance creation and maintenance between U.S. institutions of higher education and enterprises in Hong Kong. The methodology is a qualitative case study in which administrators from U.S. universities offering programs in Hong Kong and administrators from organizations in Hong…

Tables are ubiquitous with a history that pre-dates that of sentential text. Authors often report a summary of their most important findings using tabular structure in documents. For example, scientists widely use tables to present the latest experimental results or statistical data in a condensed fashion. Along with the explosive development of…