This study used a multiple probe across participants design to examine the effects of concrete-representational-abstract sequence of instruction on solving equations using inverse operations with high school students with mild intellectual disability. Results demonstrated a functional relation between the Abstract sequence of instruction and…

This descriptive and interpretive case study investigates how 12 undergraduate college students perceived participation in their high school Senior Capstone Project (SCP) impacted their college academic experience. Learning transfer was explored from the learner's perspective. Data was collected using qualitative methods in three sequential phases…

Flipped instructional approaches are innovative instructional practices that focus on students reviewing the lecture materials outside of class and working on homework problems during class time. A growing body of research highlights the effectiveness of flipped instructional approaches in improving student performance in statistics courses.…

Focused on an equity of educational access issue, this qualitative study identified grade 4-6 teacher perceptions of English language learning in Southern California. The historic failure of English language learners (ELLs) on standardized tests in Southern California was presented as an important problem to solve. The literature review for this…

Nursing programs have embraced distance learning in their curricula, but discussion is ongoing about course assignments and grading criteria to increase examination scores in nursing distance learning courses. Because course examinations are a predictor of success on the postgraduate licensing examination (NCLEX-RN), the purpose of this study was…

Becoming a skillful prover is critical for success in advanced undergraduate and graduate mathematics courses. In this dissertation, I report my investigations of proof and the proving process in three separate studies. In the first study, I examined the amount of logic used in student-constructed proofs to help in the design of…

In turbulent business environments, change is rapid, continuous, and unpredictable. Turbulence undermines those adaptive problem solving methods that generate solutions by extrapolating from what worked (or did not work) in the past. To cope with this challenge, organizations utilize trial-based problem solving (TBPS) approaches in which they…

This study examined teacher and administrator perspectives in regards to the adoption and implementation of an elementary mathematics teaching approach called Cognitively Guided Instruction (CGI), at three elementary school sites of a rural elementary school district, located in the Central Valley of California. A holistic exploratory case study…

Adults are prone to treating percents, one representational format of rational numbers, as novel cases of natural number. This suggests that percent values are not differentiated from natural numbers; a conceptual shift from the natural numbers to the rational numbers has not yet occurred. This is most surprising, considering people are inundated…

Prior studies have indicated that qualified female administrators have not applied for superintendency positions because of possible work/family conflicts, but little research has been done on the work/family issues encountered by women in the superintendency or on the strategies they use to resolve these issues. In response, this study is an…

Students experience difficulty learning and understanding chemistry at higher levels, often because of cognitive biases stemming from common sense reasoning constraints. These constraints can be divided into two categories: assumptions (beliefs held about the world around us) and heuristics (the reasoning strategies or rules used to build…

The field of evaluation is at a critical juncture as it faces new scrutiny and questions about what constitutes good research and good practice. I argue in this study that if the discipline is to be rooted in a sound empirical foundation, we need a clear understanding of key terms employed by scholars and practitioners alike. In particular,…

Continuity is a central concept in calculus. Yet very few students seem to understand the nature of continuity. The research described was conducted in two stages. Students were asked questions in multiple choice and true/false format regarding function, limit and continuity. These results were used to identify participants as strong, weak or…

Over the last two decades, students in Singapore consistently scored above students from other nations on the Trends in International Mathematics and Science Study (TIMSS; Provasnik et al., 2012). In contrast, students in the United States have not performed as well on international and national mathematics assessments and students with…

In this dissertation, the following "network computing problem" is considered. Source nodes in a directed acyclic network generate independent messages and a single receiver node computes a target function f of the messages. The objective is to maximize the average number of times f can be computed per network usage, i.e., the "computing…