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.…

The Conover Solution is a nonparametric method used to analyze relative growth in students' achievement on state tests administered on two or more occasions. However, there has been very little research assessing the robustness of this method in the presence of missing data. Using vertically scaled and non-vertically scaled data from the math…

Monitoring academic progress to guide instructional practices is an important role of teachers in a small rural school district in the Southern United States. Teachers in this region were experiencing difficulties using the approved school district model to implement data-driven instruction. The purpose of this qualitative case study was to…

TIMSS and PIRLS assess representative samples of students at regular intervals, measuring trends in student achievement and student contexts for learning. Because individual students are not tracked over time, analysis of international large-scale assessment data is usually conducted cross-sectionally. Gustafsson (2007) proposed examining the data…

An achievement gap is defined as a significant difference in academic performance between two groups. Massachusetts Comprehensive Assessment System (MCAS) data indicate that, in Crestland Public School District (pseudonym), there is a clear achievement gap in mathematics between students with disabilities and those without disabilities,…

This work is an exploration of upper elementary students' sense making around four conventional representations of function: equations with algebraic notation, Cartesian graphs, function tables, and natural language. The cornerstone to the empirical work is a task called the Function Puzzle, where students are given 16 cards representing four…

Data mining has been successfully used by financial and retail companies since the mid-1960's to create predictive models and reveal unexpected relationships. However, it remains underutilized as a tool in educational research. Large-scale standardized assessment programs such as the Trends in International Mathematics and Science Study (TIMSS)…

This applied dissertation was designed to provide perceptual teacher data as well as summative testing data to educational leaders concerning the effects of implementing Investigations in Number, Data, and Space® (Investigations) in three Title I elementary school settings, two Title I schools, and one non-Title I school. Data collected during…

This research study explored the relationship that exists between National Board certified teachers (NBCTs) and the reading achievement of students in third through fifth grade in comparison to non-NBCTs as measured by EVAAS growth data. Additional research questions analyzed which elements contained in the five core propositions participants…

Teachers' observations of student performance in reading are abundant and insightful but often remain internal and unarticulated. As a result, such observations are an underutilized and undervalued source of data. Given the gaps in knowledge about students' reading comprehension that exist in formal assessments, the frequent calls for teachers'…

The purpose of this study was to determine if there was a difference in how high and low performing elementary school districts use and analyze data to differentiate instruction, make changes to district/grade level curriculum, determine professional development needs, determine teacher effectiveness, and determine the use of school district…

This qualitative study is written from a phenomenological standpoint using Van Manen's (1990 ) hermeneutic lived experiences of the participants. Fourth grade teachers from a large urban school district in the southwestern U.S. completed an online questionnaire and participated in a focus group interview to provide insight into their attitudes and…

This dissertation presents three interrelated studies examining opportunities for student learning through contributory citizen science (CS), where students collect and contribute data to help generate new scientific knowledge. I draw on sociocultural perspectives of learning to analyze three cases where teachers integrated CS into school science,…

This study was designed to determine whether or not data driven math skills groups would be effective in increasing student academic achievement. From this topic three key questions arose: "Would the implementation of data driven math skills groups improve student academic achievement more than standard instruction as measured by the…

The purpose of this mixed methods phenomenological study was to explore the data-driven instructional decisions that elementary teachers make in literacy. Educators have moved towards a culture of being data-driven, and have declared data use in schools to be significant to school improvement and accountability (Marsh, Pane, & Hamilton, 2006).…