This study addresses first graders' conceptual knowledge exhibited in addition strategies in relation to instructional practices and teachers' beliefs in a suburban Alabama school. To address the purpose of the study, the central question was "What is the nature of the relationship between curricular practices and beliefs and students'…

Math fluency, which refers to the ability to solve single digit arithmetic problems quickly and accurately, is a foundational mathematical skill. Recent research has examined the role of phonological processing, executive control, and number sense in explaining differences in math fluency performance in school-aged children. Identifying the links…

The present mixed-methods quasi-experimental study (embedding a case study and a mixed factorial within-between ANOVA test), conducted in a private English school in Limassol, Cyprus, investigated how the use of the schematic learning aids (researcher-made color-coded flash-cards and grids) influence year-2 children's ability to read, write and…

The equipartitioning learning trajectory (Confrey, Maloney, Nguyen, Mojica & Myers, 2009) has been hypothesized and the proficiency levels have been validated through much prior work. This study solidifies understanding of the upper level of co-splitting, which has been redefined through further clinical interview work (Corley, Confrey &…

Students with emotional and behavioral disorders (E/BD) display severe social and academic deficits that can adversely affect their academic performance in mathematics and result in higher rates of failure throughout their schooling compared to other students with disabilities (U.S. Department of Education, 2005; Webber & Plotts, 2008).…

Al-Kashi's 1427 "Key to Arithmetic" had important use over several hundred years in mathematics teaching in Medieval Islam throughout the time of the Ottoman Empire. Its pedagogical features have never been studied before. In this dissertation I have made a close pedagogical analysis of these features and discovered several teaching…

The goals for this study were to investigate how fourth-grade students developed an understanding of the arithmetic properties when instruction promoted mathematical argumentation and to identify the characteristics of students' arguments. Using the emergent perspective as an overarching theoretical perspective helped distinguish between two…

For community college faculty and administrators who wish to find a higher degree of successful outcomes in a developmental arithmetic course, this study examined whether a conceptual developmental arithmetic instructional approach affects the overall performance of community college students and if it differentially affects the performance of low…

Even though discourse-intensive mathematics instruction is a widely endorsed pedagogy for preservice elementary teachers, much still remains unknown about how this type of instruction affects student learning. This study investigated the relationship between talk moves that prompted preservice teachers to respond to each other's contributions…

Past research has documented that the effectiveness of three different math strategies delivered to students via one-on-one instruction (i.e., cover-copy-compare (CCC); e.g., Skinner, Turco, Beatty, & Rasavage, 1989, traditional drill and practice (TDP); e.g., Cybriwsky & Schuster, 1990, and constant time delay (CTD); Kulik, 1994). This study…

Technology and mathematics. manipulatives have been brought together in a new format. This joining has resulted in virtual manipulatives that are available on the Internet for students. Virtual manipulatives have been defined as computer based renditions of common mathematics manipulatives and tools. Just as a physical object can be flipped,…

This dissertation presents two studies designed to examine the topic of fraction division in selected Chinese and US curricula. By comparing the structure and content of the Chinese and "Everyday Mathematics" textbooks and teacher's guides, Study 1 revealed many different features presented in the selected curricula. Major differences…

This primary goal of this study was to investigate the effects of strategy training and self-reflection, two subprocesses of Zimmerman's cyclical model of self-regulation, on fifth grade students' mathematics performance, self-efficacy, self-evaluation, and calibration measures of self-efficacy bias, self-efficacy accuracy, self-evaluation bias,…

This study had the purpose of comparing the effects of two approaches in teaching mathematics to secondary special education students. The study attempted to answer the following questions: (1) Were there significant differences between group means of mathematics achievement test scores for students in a diagnostic-prescriptive mathematics program…