Probabilistic simulations have long served as instructional tools in statistics and probability education. With advances in technology, computer simulation environments where large quantities of data can be collected and analyzed have been suggested as venues for problem solving in contexts involving both known and unknown probability…

Limited research exists on the factors that contribute to community college students' development of self-efficacy (SE) while serving as preservice teachers (PSTs) during their early childhood education (ECE) practicum. This lack of research is concerning because educators who have high SE enhance the educational well-being of all children. The…

This study investigated how problem-solving videos can be used in video-mediated professional learning to support secondary preservice mathematics teachers (PMTs) in developing teacher knowledge for noticing student thinking in the context of the derivative concept in calculus. A model of the trajectory of PMTs' noticing was constructed as six…

Uncertainties are inherent in education as learners encounter gaps in their awareness of topics, receive new information that potentially conflicts with prior understandings, and grapple with known unknowns in order to construct new knowledge. While researchers have shown that students productively struggling with problematized and uncertain…

This study examined the engagement of preservice elementary teachers (PSTs) with mathematics tasks that were open in various ways and to varying extents. In K-12 settings, practitioners who have implemented recently popular open tasks report increased engagement and from a wider variety of students. While these anecdotal reports and related…

This dissertation comprises two articles. In the first article, I review and synthesize literature on how prospective teachers (PTs) might evaluate students' mathematical thinking as manifested in written work. After defining evaluation, I argue that evaluating students' thinking in productive ways is both necessary and desirable within the…

Undergraduate students in an education program, or preservice teachers, are expected to practice and teach productive struggle in mathematics as they prepare for their career. Productive struggle in mathematics requires students to persevere in solving rigorous tasks, despite their frustration in doing so. Therefore, a student's level of…

In this randomized multiple baseline across participants single-case design study, pre-service special education teachers received a modified Talk Aloud Problem Solving (TAPS) intervention to improve their use of problem-solving verbal behavior and reasoning skills when making instructional decisions. Special education teacher candidates may have…

This dissertation adopted the three-article format. The entire dissertation aims to explore Describing Critical Statistical Literacy Habits of Mind (CSLHM). The first article describes the creation of the CSLHM framework. The second describes how secondary preservice mathematics teachers enact CSLHM. The third article describes a common and an…

Recent data from a cross-national assessment, the Programme for International Student Assessment (PISA), place the United States performance in mathematics at 38 out of 71 countries (OECD, 2016)--one clear indication of the ongoing need for the improvement of mathematics education. This improvement relies, in part, on improving undergraduate…

This exploratory qualitative study examines teacher candidate and student interactions in response to verbal threats of harm. This study uses existing data: a single set of 16 clinical simulations and four post-simulation debriefing sessions. Participants include eight female and eight male teacher candidates (n = 16) who interact with one of six…

There have been recent pushes for more active learning in mathematics classrooms, especially at the undergraduate level. To incorporate more active learning, there is a need for tasks that explicitly support this type of instruction, attention to student reasoning and whose ideas are publicly acknowledged, and awareness of differences in students'…

Twenty-five first-year preservice teachers attending a university in the Midwest of the United States of America participated in a whole-class-setting study aimed at investigating their knowledge of how they made sense of fraction concepts and operations, and how the development of this knowledge was facilitated during a mathematics education…

This study begins with the belief that the ways in which teachers see and attend to educational encounters matter for their actions in classrooms. Using microethnography as a framework, this dissertation explores the relationship between teacher candidate attention, problem formulation, and action. Through analysis of the M.Ed. inquiry reports of…

Elementary mathematics teachers in Maryland are required to teach according to the Maryland College and Career-Ready Standards (MCCRS). Implementation of these standards requires teachers to understand and implement instructional shifts that are unlike the way most of them were taught mathematics in elementary school. Consequently, educator…