In this dissertation, I utilize the post-structural philosophy of Gilles Deleuze and Fe´lix Guattari as a lens for investigating the proof process. Deleuze and Guattari were both post- structural philosophers who, like many in this tradition, troubled traditional notions related to stable identities, meaning, language, and mathematics. For…

Teacher evaluation systems are designed to provide teachers with feedback to improve their practice. The feedback, however, is oftentimes not delivered in a way that considers the underlying cognitive processes that teachers experience when presented with performance feedback (Jordan & Audia, 2012). According to performance feedback theory,…

This study uses narrative analysis to track undergraduates' proof schemes throughout a transition proofs course at a research 1 university in the Midwest, with a focus on student example use and how it influences their schemes. Assessment data and cognitive interviews were conducted at four points throughout the semester in order to track the…

This study investigated Chinese international students' sense of belonging by exploring the cultural and cognitive validity of a commonly used sense of belonging instrument, namely the Hoffman et al.'s (2002) Sense of Belonging Scale. Cognitive interviewing procedures supplemented with open-ended questions were administered to 20 sophomore- and…

Response processes are an important component of validity to support the use and interpretation of test scores. Response processes information can provide insight into how students engage with assessment tasks and the type of errors made when solving items, as well as allow for the study of cognitive properties in items that may be associated with…

Students struggle with proving, a fundamental activity in upper-level undergraduate mathematics courses. Learning how to prove is a difficult transition for students, as they shift from largely computation-based to argument-based work. In response, mathematics departments have instituted courses, introduction or transition to proof, designed to…

As evidence for the discriminant validity of SCT continues to emerge, researchers must further examine the ways in which SCT affects functioning in order to eventually tailor treatments to this population. The current study examined whether SCT symptoms in college students are predictive of social functioning and risky behavior, particularly…

This dissertation describes an experiment to investigate how learners with different levels of background in computer science learn core concepts of computer science, in particular, algorithms. We designed a study to focus on cognitive task analysis for eliciting the empirical mental elements of learning two graph algorithms. Cognitive workload…

Recoverability refers to the ease of recovering the underlying form--stored mental representations--given a surface form--actual, variable output signals s (e.g., [Daet^, Daet[superscript h] ] ? /Daet/ "that"). Recovery can be achieved from phonetic cues explicitly present in the acoustic signal or through prediction from the context.…

Learning standards across the United States have increasingly called for history students to engage in aspects of "historical thinking," a term used to describe the complex disciplinary processes that historians use to make sense of the past. Although students are expected to learn these complex processes, little is known about how to…

While interactivity is regarded as a distinguishing characteristic of computer technology, the explanation on its impact remains in its infancy. The present research investigates what it means to provide a more (or less) interactive computer interface design by attempting to uncover its cognitive influences on the user's expectation of outcome and…

Analyzing examinees' responses using cognitive diagnostic models (CDMs) have the advantages of providing richer diagnostic information. To ensure the validity of the results from these models, differential item functioning (DIF) in CDMs needs to be investigated. In this dissertation, the model-based DIF detection method, Wald-CDM procedure is…

Response latency has been widely used as a cognitive method to investigate how respondents answer survey questions and also as a method to identify problems with survey questions (e.g., flawed or poorly worded questions) or errors associated with respondents' behaviors (e.g., faking). However, little attention has been paid to using response…

The purpose of this study was to gain a better understanding of cognitive curiosity through the development and validation of items that identify specific-epistemic, diversive-epistemic, specific-perceptual, and diversive-perceptual factors of curiosity. The instrument was based on existing research that identifies each of the four hypothesized…

Proof is the mathematical way of convincing oneself and others of the truth of a claim for all cases in the domain under consideration. As such, reasoning-and-proving is a crucial, formative practice for all students in kindergarten through twelfth grade, which is reflected in the Common Core State Standards in Mathematics. However, students and…