Data is everywhere, but not always accessible to everyone. Conventional data visualization tools and guidelines often assume a standard user, neglecting the neurodivergent needs of individuals with cognitive disabilities. These disabilities can create significant obstacles in data-driven reasoning, including difficulties in processing complex…

There is growing consensus that data-informed decision-making through human-centered inquiry and design process results in improved outcomes for designed artifacts. Among the latest trends is a group of tools and processes loosely assimilated under the umbrella term, "design thinking." These "designerly ways of knowing" are…

While some engineering students develop proper critical thinking skills, most engineering students do not. Engineers must critically think to tackle various problems on the job, but many schools do not properly instill critical thinking in engineering students. With engineers working on multiple tasks in little time, a knowledge of critical…

This dissertation seeks to investigate how digital gestures connect to students' mathematical understanding when playing "From Here to There!" (FH2T). This investigation explores the intersection of three fields, game-based learning, embodied cognition, and mathematics education. I used three studies which break down the different…

This dissertation adopted the three-article format. The entire dissertation aims to explore Describing Critical Statistical Literacy Habits of Mind (CSLHM). The first article describes the creation of the CSLHM framework. The second describes how secondary preservice mathematics teachers enact CSLHM. The third article describes a common and an…

This dissertation explores how items encountered in the comprehension of language are stored in memory and subsequently accessed. Processing and comprehending language frequently requires the retrieval of items in memory so that a current linguistic element can be assigned an interpretation. For example, in a sentence such as "Miles loved his…

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…

This research improves the precision of information extraction from free-form text via the use of cognitive-based approaches to natural language processing (NLP). Cognitive-based approaches are an important, and relatively new, area of research in NLP and search, as well as linguistics. Cognitive approaches enable significant improvements in both…

Intended outcomes such as expressing ideas in ways that can be understood, with the tools we know how to use, constrain the dynamics of the actions we use to ensure their success. The success of our actions can be measured by estimating the amount of information they transmit. This provides a window into the dynamics of cognition and how they are…

The use of mathematics performance tasks can provide a window into how a student is applying mathematics to various situations, how they are reasoning mathematically and how they are applying conceptual knowledge through problem solving and critical thinking. The purpose of this study was to investigate, according to the elementary mathematics…

A key issue of cognitive diagnostic models (CDMs) is the correct identification of Q-matrix which indicates the relationship between attributes and test items. Previous CDMs typically assumed a known Q-matrix provided by domain experts such as those who developed the questions. However, misspecifications of Q-matrix had been discovered in the past…

Cognitive Systems Engineering (CSE) has a history built, in part, on leveraging representational design to improve system performance. Traditionally, however, CSE has focused on visual representation of "monitored" processes--active, ongoing, and interconnected activities occurring in a system of interest and monitored by human…

In many evolving systems, inputs can be derived from both human observations and physical sensors. Additionally, many computation and analysis tasks can be performed by either human beings or artificial intelligence (AI) applications. For example, weather prediction, emergency event response, assistive technology for various human sensory and…

Self-regulated learning is an elaborate metacognitive process consisting of an individual's awareness of the thought process, flexibility in one's approach to problem solving, and motivation to persist through obstacles until a goal has been met. Strategies and instructional practices used to develop mathematically proficient thinkers also develop…

Systems that can detect cognitive decline or harmful levels of stress could assist users in managing their stress and health. However, current assessments are often obtrusive or require specialized equipment, and not suited to continuous monitoring of cognitive status. This research leverages attributes of everyday keyboard interactions to…