This qualitative, multiple case study provided comprehensive descriptions of the conceptual difficulties and learning experiences of in-service teachers as they improved their ability to effectively model fraction division with pictorial diagrams. Video data were collected on eight teachers as they individually progressed through a professional…

Flashcards are with us from our very earliest learning experiences. As infants, we learn to speak words from flashcard pictures. As toddlers, we are introduced to vocabulary concepts and thinking skills with flashcards. In early learning experiences we learn facts, languages, associations, and even social skills. Flashcards remain highly prevalent…

Postmodern picturebooks do not follow the established norms of traditional picturebooks and instead invite readers to navigate nonlinear structures and attend to metafictive devices, including counterpoint and multiple narratives, experimental typography, nonlinearity, intertextuality, and ambiguities in meaning. These qualities challenge readers…

Structural reasoning is a combined ability to "look for structures, recognize structures, probe into structures, act upon structures, reason in terms of general structures, and see how a piece of knowledge acquired resolves a perturbation experienced" (Harel and Soto, 2017). The purpose of this study was to explore the cognitive…

Molecular representations that show chemical bonding are ubiquitous in general and organic chemistry. These help in communicating chemistry concepts that are fundamental to understanding "how" and "why" molecules interact. The goal of this dissertation work is to offer an evidence-based report on the affordances and limitations…

The purpose of this mixed-methods study was to measure the impact of a sequential use of manipulatives and visual models on third-grade students' multiplication fluency, math attitudes, and fact retention. According to results of this study, there was significant evidence that the students who gained a conceptual understanding of multiplication…

This research study aimed to understand how depictions of Black women on television influence the ways Black women at PWIs make meaning of their multiple identities and self-definitions. Black Feminist Thought was used as the epistemology to inform the research questions. The research questions that guided this study were (1) How do Black college…

Embodied models of language comprehension assume that words become associated with sensorimotor experiences during word learning. Novel word learning paradigms may provide insight into embodied effects, but studies in this domain have yet to account for how concepts and information known in first language (L1) might influence the sensorimotor…

Engineering students need to prepare to address increasingly complex, contextual, and ambiguous problems in their future careers. Many students pursue engineering to improve societal problems and create innovative solutions. Yet, divergent thinking needed for creativity, and the consideration of multiple social issues and a variety of contexts, is…

Young adolescents build notions of figures through experiences. When young adolescents begin middle school mathematics, they already have prior assumptions and conceptualizations about shapes (Herbst, Fujita, Halverscheid, & Weiss, 2017). Over years of experiences, interactions, and exposures with a particular concept, these students develop…

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.…

Mathematics classrooms have reflected little change over the past century, consisting of the learning of inert, disjoint procedures with few connections between mathematics concepts and students' everyday experiences. However, problem posing, that is, the reformatting of existing problems and the generation of new ones, has been promoted by the…

This thesis explores the role of multiple representations in introductory physics students' problem solving performance through several investigations. Representations can help students focus on the conceptual aspects of physics and play a major role in effective problem solving. Diagrammatic representations can play a particularly important role…

Through a non-experimental descriptive and comparative mixed-methods approach, this study investigated the experiences of sixth grade earth science students with groundwater physical models through an extended SE learning cycle format. The data collection was based on a series of quantitative and qualitative research tools intended to investigate…

Research examining animation use for student learning has been conducted in the last two decades across a multitude of instructional environments and content areas. The extensive construction and implementation of animations in learning resulted from the availability of powerful computing systems and the perceived advantages the novel medium…