Through a constructivist lens, this dissertation research (a case study) examines the problem of how elementary teachers' MKT might be related to their ways of implementing and adapting mathematical tasks to promote students' construction of multiplicative reasoning. In particular, this study addresses the following four research questions: 1.…

With the changes in Common Core State Standards, it was essential to explore how elementary pre-service teachers' sense of fractions is developing and their thoughts about how to teach fractions. A gap in practice exists because it is unknown how pre-service elementary teachers, after student-teaching, perceive their level of in-practice knowledge…

The study explores the integration of technology in teaching mathematics, providing current secondary mathematics teachers with effective practices and guiding future mathematics teachers toward a technology-pedagogical approach. In this study, I focused on effective teaching practices with technology in teaching mathematics to current secondary…

Most elementary teachers (ETs) have majors in the humanities as undergraduates and much of the pedagogical training in a teacher preparation program tends to focus on literacy, so many ETs lack math pedagogical content knowledge and have a stronger knowledge of, and how, to teach literacy (Gonzalez-DeHass, et al., 2017; Bursal & Paznokas,…

The ways teachers understand mathematics that is useful for teaching, known as mathematical knowledge for teaching (MKT), has been a center of attention for the research and policy communities. A teacher's MKT has been shown to be a significant factor in predicting student outcomes and positively related to the quality of mathematics instructional…

This dissertation case study examines how teachers' levels of units coordination afford their ability to reason multiplicatively and fractionally, as well as use their mathematics knowledge for teaching to analyze student multiplicative and fractional reasoning, when a two-year intervention is put into place to evoke new mathematical reasoning.…

Even though students in the United States have varying access to an equitable education, education is commonly regarded as the greatest equalizer. The achievement gap impacts students such as African Americans, Hispanics, and other minorities. Addressing the achievement gap in mathematics and other content areas has grown more crucial as the…

As the most important in-school factor in student learning, elementary school teachers must be able to offer all students the quality mathematical learning experiences that they deserve; and the opportunities to learn that pre-service teachers (PSTs) encounter during their preparation programs impact their ability to do so. Content courses are…

The prevalence rate of autism spectrum disorder (ASD) among school aged children in the US has increased exponentially, compared to estimates from the year 2000. Increased numbers of elementary students with ASD are spending 80% or more of the school day in general education settings, which may pose challenges for both veteran and beginning…

Quality Professional Development (PD) interventions are important to improve teaching in schools (Desimone, 2009) and students' achievement (Wayne, Yoon, Zhu, Cronen, & Garet, 2008). Recent research has been focusing on learning using a situative perspective (Greeno, 2006). Within this body of research, this study analyzed elementary school…

In the last three decades, there has been a significant growth in the number of undergraduate students taking introductory statistics. As a result, there is a need by universities and community colleges to find well-qualified instructors and graduate teaching assistants to teach the growing number of statistics courses. Unfortunately, research has…

Problem: Schools often use instructional coaches to build teacher instructional capacity and raise student achievement (Mangin, 2005, 2009; Neufeld & Roper, 2003). While instructional coaches are meant to support the growth of teachers, little is known about what these instructional coaches bring to their intellectual work (Campbell &…

Quantitative reasoning (P. W. Thompson, 1990, 1994) is a powerful mathematical tool that enables students to engage in rich problem solving across the curriculum. One way to support students' quantitative reasoning is to develop prospective secondary teachers' (PSTs) mathematical knowledge for teaching (MKT; Ball, Thames, & Phelps, 2008)…

Generalization has been identified as a cornerstone of algebraic thinking (e.g., Lee, 1996; Sfard, 1995) and is at the center of a rich conceptualization of K-8 algebra (Kaput, 2008; Smith, 2003). Moreover, mathematics teachers are being encouraged to use figural-pattern generalizing tasks as a basis of student-centered instruction, whereby…

The purpose of this study was to investigate Saudi mathematics teachers' understanding and practices of formative assessment as well as determine the factors affecting the practice of formative assessment in mathematics education. The sample included 202 in-service mathematics teachers at both rural and urban public elementary schools in Al Baha…