Introductory calculus is mandatory for postsecondary science, technology, engineering, and mathematics (STEM) majors (Bressoud, 2015); however, many students do not persist through introductory calculus to further STEM study (Rasmussen et al., 2019). One reason for this may be that students struggle with the prior mathematical knowledge required…

Educators come to the classroom with a range of prior experiences with mathematics and with teaching (Bullough, 1997; Horn et al., 2008; Lortie, 1975). In addition, research has shown that prior experience with mathematics can drastically impact educators' feelings, beliefs, and views of themselves as math teachers (Graven & Lerman, 2018;…

This narrative inquiry study explored how emerging elementary educators perceived their understanding of mathematics learning and teaching as they became elementary educators. The study considered how past experiences influenced emerging educators' frames of reference as they began to teach elementary mathematics. Methods consisted of individual…

In 2 experiments, I studied the effects of an Equivalence Based Instruction (EBI) math intervention on the emergence of untaught selection responses and abstraction to production responses. In Experiment I, using a multiple baseline design, I implemented the EBI intervention among a group of 17 first grade participants with varying levels of math…

This dissertation study investigated secondary mathematics teachers' designing and enacting lessons to draw on students' multiple mathematical knowledge bases. The ultimate objective of incorporating open spaces in mathematics lessons is to support students from culturally and linguistically diverse backgrounds in developing mathematical…

This research delves into the attitudes, perceptions, and motivations of student-athletes enrolled in Intermediate Algebra courses. It focuses on the distinct challenges they encounter in juggling academic and athletic responsibilities at a southeastern university in the United States. Employing a mixed-methods approach, the study gathered…

Many community college students are enrolled in basic mathematics courses that are equivalent to high school mathematics courses. Students from developmental mathematics courses at a Midwest community college completed a questionnaire and were interviewed to find themes in their learning past and perspectives on mathematics classes. These students…

A flipped classroom strategy is a teaching and learning strategy that had showed an increase in interest among educators from post-secondary to elementary educators. Flipped classrooms integrate technology as a resource where students can access lessons outside of the classroom. Instructional materials such as videos and podcasts are created,…

Teachers' beliefs are importantly linked to teachers' classroom actions and, ultimately, to student achievement. Although much is known about general education teachers' beliefs about how children learn mathematics and mathematics instruction, there is little known about special education teachers' beliefs. This study then examined special…

This study presents the lived experiences of eight African American male recent high school graduates in their mathematics classes. These young men are currently attending various colleges across the United States in pursuit of obtaining a college degree. A few of the young African American men who were interviewed faced challenges during their…

This research study explored the experiences of this teacher-researcher and eight student-participants in a Montessori-inspired, nature-based mathematical environment. I utilized an action research study framework with a critical event narrative analysis to describe mine and my student-participants' experiences throughout this study, using…

Previous studies indicated that calculus courses are considered 'weed-out' courses as a lot of students in STEM majors struggle to pass. Instructors and researchers explored various instructional methods to facilitate calculus learning, however, more tailored instructional strategies are still needed. Inventing Contrasting Case is a strategy that…

The purpose of this study is to explore how to raise awareness of, validate, and value the diverse knowledge bases that mother-prospective teachers have based in their prior experiences from within their families and backgrounds. Using a funds of knowledge (FoK) for teaching mathematics (Aguirre et al. 2012; Civil, 2007; Foote, 2009; Gonzalez, et…

The purpose of this study is to explore elementary educators' perceptions regarding what it means to conceptually understand mathematics, the emphasis teachers place on utilizing evidence-based teaching processes, as identified as effective by National Council of Teachers of Mathematics (NCTM), and how these perceptions influence their…

Decades of scholarly work continue to document the marginalization of children from nondominant backgrounds in mathematics classrooms. Learning to equitably teach children from linguistically, ethnically, racially, and culturally diverse backgrounds remains a priority. This dissertation approaches this broader problem in society by understanding…