For many years, multiple representations have played a major role in the teaching and learning of mathematics (NCTM, 2014). The present study defined and investigated a particular phenomenon called representational conflict, which can arise when students simultaneously use multiple representations on the same mathematical task. Representational…

Individuals with autism spectrum disorder (ASD) have deficits in communication and engage in restrictive and repetitive behaviors that may impede their ability to learn, particularly in school environments. Evidence-based practices such as visual supports and video modeling have been used to support individuals with ASD. Activity schedules, a type…

In this dissertation study, I report on six middle school students' construction and interpretation of graphs and associated dynamic situations. Constructing and interpreting graphs represents a critical moment in middle school mathematics due to its opportunity to provide a powerful foundation for learning. Nevertheless, researchers have…

Positive findings regarding integrated curriculum in the classroom setting (Chen & Yang, 2019; Kurt & Pehlivan, 2013; Vars, 1996) and movement integration during the school day (Donnelly et al., 2009; Duncan, Birch, & Woodfield, 2012; Mahar et al., 2006; Reed et al., 2010), suggest a movement-based setting, such as physical education,…

My study seeks to explore the extent that select secondary and postsecondary indicators predict STEM student enrollment and persistence particularly for Hispanic students. Identifying postsecondary STEM success and college readiness indicators with special focus on malleable indicators that can assist educators, administrators, and policymakers in…

Early numeracy skills are related to children's later mathematics and reading skills. Early interventions that target parent-child numeracy practices may be an effective way to promote these skills in young children. The aim of the current study was to evaluate the effectiveness of a home numeracy environment (HNE) intervention in increasing…

Remedial/developmental and introductory university mathematics courses have a long history of high attrition rates. Recently, university administration and mathematics departments have been considering technological solutions, and one such solution is computer-adaptive-instruction (CAI). In fact, CAI has been touted as a "silver bullet"…

This dissertation study aims to understand the instructional interactions that foster students' generalizing. By analyzing video recorded lessons from 13 different Grade 3 classrooms in which an early algebra intervention is being implemented, activities related to generalizing and students' generalizing activities were identified, and the nature…

The introduction to general topology represents a challenging transition for students of advanced mathematics. It requires the generalization of their previous understanding of ideas from fields like geometry, linear algebra, and real or complex analysis to fit within a more abstract conceptual system. Students must adopt a new lexicon of…

Underrepresentation of both females and minority racial groups in college science, technology, engineering, and mathematics (STEM) majors contribute to an unbalanced STEM workforce. This was a quantitative descriptive cross-sectional survey research study utilizing secondary data analysis of the High School Longitudinal Study of 2009 public use…

Although there has been a substantial amount of research on the topic of teacher professional development, few studies adequately captured the types and frequency of formal and informal professional learning teachers undertake to improve as educators. The purpose of this study was to examine the types of activities middle and high school…

Student achievement in mathematics is correlated with factors related to student engagement. Improving engagement has the potential to improve student achievement at the middle school level. The Common Core State Standards for Mathematics explicate eight specific Standards for Mathematical Practice (SMPs) that clarify the types of skills and…

This dissertation describes a mathematics curriculum and instruction design experiment involving a series of embodied mathematical activities conducted in two Colorado elementary schools Activities designed for this experiment include multi-scalar number line models focused on supporting students' understanding of elementary mathematics. Realistic…

Mathematics can be conceptualized in different ways. Policy documents such as the National Council of Teachers of Mathematics (NCTM) (2000) and the Common Core State Standards Initiative (CCSSI) (2010), classify mathematics in terms of mathematical content (e.g., quadratic functions, Pythagorean theorem) and mathematical activity in the form of…

The proliferation of technology brings innovated strategies to enhance learning with digital math gaming in order to optimize motivation, comprehension, and retention. The problem is the lack of opportunities for students to engage in math video games. The scope of this paper is to present findings from a qualitative case study that investigated…