This research provides an analysis of the relationship between a student's beliefs and mathematical behaviors over a seventeen-year period. Romina, the student of focus in this case study, was among the original participants in a longitudinal study which explored how students build mathematical ideas when working collaboratively on problem-solving…

Systems of linear equations are used in a variety of fields. Exposure to the concept of systems of equations initially occurs at the high school level and continues through college. Attempts to unearth what students understand about the solutions of linear systems have been limited. Gaps exist in our knowledge of how students understand systems…

Teachers need practices that can be implemented in the classroom to teach children how to address conflict and solve problems proactively. There are curricula available for teachers to use in promoting improvement in the social behavior of students and for further enhancing their ability to self-regulate their behavior (Smith, Lochman, &…

This study explored the development of student's conceptual understandings of limit and derivative when utilizing specifically designed computational tools. Fourteen students from a secondary Advanced Placement Calculus AB course learned and explored the limit and derivative concepts from differential calculus using visualization tools in the…

This research was designed to study the effect of a professional development program in place-based science education on teacher and student learning in rural elementary schools in Thailand's northern Lampang province. Based on the results of a pilot study conducted in 2008 at one school, which was then followed by a needs assessment conducted…

"Latina/os in Rhetoric and Composition: Learning from their Experiences with Language Diversity" explores how Latina/o academics' experiences with language difference contributes to their Latina/o academic identity and success in academe while remaining connected to their heritage language and cultural background. Using qualitative…

The public school superintendent's role has changed substantially over time, and the work of superintendents is more complex, demanding, and challenging than ever before. Recent studies indicate that 70% to 80% of the nation's superintendents will leave their positions over the next five years, suggesting the imminent entry of many new…

The purpose of this study was to discover what teaching strategies were utilized by Special Day Class (SDC) teachers to prepare their 9-12 grade students to pass a course in Algebra 1 and the mathematics section of the California High School Exit Exam (CAHSEE). This study used a mixed methodology involving a quantitative survey and qualitative…

This study examined the perceptions of school counselors regarding administrative supervision practices in K-12 public schools in South Carolina. Specifically, the goal was to gain insight into how school counselors view current building-level supervision practices in relation to Pajak's Twelve Dimensions of Supervisory Practice, as well as how…

Methods and procedures for successfully solving math word problems have been, and continue to be a mystery to many U.S. high school students. Previous studies suggest that the contextual and mathematical understanding of a word problem, along with the development of schemas and their related external representations, positively contribute to…

A basic and classical assumption in the machine learning research area is "randomness assumption" (also known as i.i.d assumption), which states that data are assumed to be independent and identically generated by some known or unknown distribution. This assumption, which is the foundation of most existing approaches in the literature, simplifies…

Number Concepts; Measurement; Geometry; Probability; Statistics; and Patterns, Functions and Algebra. Procedural Errors were further categorized into the following content categories: Computation; Measurement; Statistics; and Patterns, Functions, and Algebra. The results of the analysis showed the main sources of error for 6th, 7th, and 8th…

Microarray is a high throughput technology to measure the gene expression. Analysis of microarray data brings many interesting and challenging problems. This thesis consists three studies related to microarray data. First, we propose a Bayesian model for microarray data and use Bayes Factors to identify differentially expressed genes. Second, we…

The optimal development of expertise is dependent on the application of a regimen of deliberate practice. A component of this practice is the development of critical thinking skills related to the solving of complex problems in ill-structured, naturalistic environments. The cognitive steps used to solve problems by experts is frequently not…

The purpose of this research is to find the relationships among attributes of creative problem solving ability and their relationships with the Math Creative Problem Solving Ability. In addition, the attribute patterns of high, medium, and low mathematical creative groups were identified and compared. There were 409 fifth and sixth graders…