This work explores the complex cognitive processes students engage in when addressing contextual tasks requiring linear and exponential models. Grounded within Piagetian constructivism and the Knowledge in Pieces (KiP) epistemological perspective (diSessa, 1993, 2018), this empirical study in a clinical setting develops a Microgenetic Learning…

Teachers choose to supplement their curriculum for various reasons (Drake, 2010) and use online resources to search for and choose these supplements for their curriculum (Silver, 2022). TeachersPayTeachers.com (TPT) is a popular choice for online curriculum resources. TPT is a virtual resource pool that allows teachers to create and share…

This study explores the development and implementation of a five-day curriculum designed to enhance students' understanding of algebraic concepts through the integration of educational robotics and growth mindset principles. The study is structured around three research questions that investigate influences on decision-making in curriculum design,…

This study examined how algebra teachers plan curriculum units when they actively design their curriculum. I used a case study (Yin, 2013) of five experienced high school mathematics teachers who came from school districts of varying sizes across the nation. More specifically, I analyzed the teachers' unit planning processes and products by…

In this study, a community of high school Common Core Algebra I teachers in a socio-economically and racially diverse suburban high school participated in a lesson study process facilitated by an instructional coach to design curriculum for an algebra lab model. The model was intended to address issues of equity and access in mathematics…

In this thesis, I study some aspects of how students learn to use math to make sense of physical phenomena. Solving physics problems usually requires dealing with algebraic expressions. That can take the form of reading equations you're given, manipulating them, or creating them. It's possible to use equations simply according to formal rules of…

Students in the United States continue to struggle with fraction mastery despite the fact that understanding fractions is essential for further progress in mathematics (NAEP, 2008). This research project investigated the potential of using high-press mathematical discourse (Kazemi & Stipek, 2008) to investigate fourth graders' emerging…

The Common Core State Standards for Mathematics (CCSSM) highlight the importance of students' conceptual understanding, mathematical reasoning, and problem solving in order to prepare students for college and careers. However, the success of this reform effort largely depends on how teachers actually design and implement instruction based on the…

Historically, algebra has served as a gatekeeper that divides students into academic programs with varying opportunities to learn and controls access to higher education and career opportunities. Successful completion of Algebra 1 demonstrates mathematical proficiency and allows access to a sequential and progressive path of advanced study that…

This study applies the constructs from effective instruction from the literature on teacher education to understand the impact of school district strategies on algebra outcomes for minority students. The purpose of this study was to examine the strategies utilized by superintendents and district personnel and the impact of these identified…

The purpose of this study was to analyze how self-efficacy interacts with technology integration in Algebra 1 classrooms. A case study approach was used to discover how technology was integrated into Algebra 1 classrooms in a comprehensive high school. The findings were analyzed based on the teachers' locus of control to understand how the…

Little empirical investigation has been conducted on high school students and teachers using online instructional multimedia developed entirely from the classroom teacher's traditional live-lecture format. This study investigated academic achievement, engagement, preference, and curriculum development using screen-capture instructional…

Reform in mathematics instruction at the college level has been slow to arrive (Dossey, Halvorson, & McCrone, 2008), and many institutions of higher learning still follow the calculus model, while fewer and fewer students need calculus for their chosen areas of study (Ganter & Barker, 2003). Instead, mathematics that is applicable and transferable…

The purpose of this study was to determine the changes in the mathematics curriculum for grades 5-8 in the Republic of Serbia after the break-up of SFRY. In particular, the research sought to identify the changes in the mathematics curriculum in terms of curriculum content and learning objectives, textbooks, and high school entrance examination…

We designed and implemented curriculum intended to be used by students in an algebra-based introductory physics laboratory course. Our curricular goal was to foster, through observations in the lab, a coherent framework in students' understanding of general principles presented in the introductory mechanics course, while addressing known student…