The gap that exists between English language learners and English speaking students' achievement in mathematics continues to grow. Moreover, students are now required to show evidence of their mathematics knowledge through writing in standardized assessments and class assignments. The purpose of this study was to analyze students' writing in…

The study of student representation use and specifically the distinction between analytic and visual representations has fueled a long line of mathematics education literature that began more than 35 years ago. This literature can be partitioned into two bodies of work, one that is primarily cognitive and one that is primarily social. In spite of…

Society is faced with more complex problems than in the past because of rapid advancements in technology. These complex problems require multi-dimensional problem-solving abilities that are consistent with higher-order thinking skills. Bok (2006) posits that over 90% of U.S. faculty members consider critical thinking skills as essential for…

The development of expertise in writing is a complex but important achievement for young children as they become literate. Writing is a critical component of literacy development, yet there are few accounts of change over time in early writing development that attend to both changes in writing behaviors, the complexity of written messages, and the…

This study examined the effect of peer coaching on the development of effective teaching behaviors and teacher self-efficacy of education students in an early field experience. The convenience sample (N = 99) included undergraduate students enrolled in a required foundational course in special education at a large public university in the southern…

The purpose of this study was to introduce an instructional technique for teaching complex tasks in physics, test its effectiveness and efficiency, and understand cognitive processes taking place in learners' minds while they are exposed to this technique. The study was based primarily on cognitive load theory (CLT). CLT determines the amount of…

Higher education institutions are being pushed towards increased assessment practices because of rising costs, mass access, new delivery methods, and rising competition on the national and global scale. Academic deans and department heads are at the center of these assessment efforts, and assessment should guide changes within the organization for…

Part I: Students' participation in inquiry-based chemistry laboratory curricula, and, in particular, engagement with key thinking processes in conjunction with these experiences, is linked with success at the difficult task of "transfer"--applying their knowledge in new contexts to solve unfamiliar types of problems. We investigate…

Saudi Arabian female international students enrolled in a public university in Northern Virginia used either problem-focused coping or emotion-focused coping strategies to overcome psychological and social challenges. Sixteen Saudi females participated in this qualitative case study. Semi-structured interviews were conducted to obtain the opinions…

This research consists of teacher interviews, student interviews, and classroom observations, all based around the mathematical content area of combinatorics. Combinatorics is a part of discrete mathematics concerning the ordering and grouping of distinct elements. The data are used in four separate analyses. The first provides evidence that…

Effective teaching in the United States over the last decade has been based on student performance on standardized tests (Darling-Hammond, 2010). Many school districts, in attempts to make gains on standardized assessments, have implemented standardized formative assessment procedures that dictate intervention for students not making gains…

This research analyzes how external representations created by a student, Robert, helped him in building mathematical understanding over a sixteen-year period. Robert (also known as Bobby), was an original participant of the Rutgers longitudinal study where students were encouraged to work on problem-solving tasks with minimum intervention (Maher,…

The work described here represents an effort to understand and influence visual attention while solving physics problems containing a diagram. Our visual system is guided by two types of processes--top-down and bottom-up. The top-down processes are internal and determined by ones prior knowledge and goals. The bottom-up processes are external and…

This qualitative research study used a multiple, holistic case study approach (Yin, 2009) to explore the perceptions of reluctant problem solvers related to mathematical tasks without words and word problems. Participants were given a choice of working a mathematical task without words or a word problem during four problem-solving sessions. Data…

This project applied the gap analysis problem-solving framework (Clark & Estes, 2008) in order to help develop strategies to increase completion rates at Travelor Adult School. The purpose of the study was to identify whether the knowledge, motivation and organization barriers were contributing to the identified gap. A mixed method approached…