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,…

The field of Cryptography is rapidly evolving, and the development of quantum computers is on the rise. Lattice-based cryptosystems are promising candidates for quantum resistance, and it is the responsibility of institutions to prepare students for related careers. Undergraduate students in mathematics and mathematics-adjacent fields can -- and…

This journal-ready dissertation contains three articles related to the developmental mathematics redesign at Chandler-Gilbert Community College (CGCC). The first article covers background information related to the Maricopa Community College District (MCCCD) sponsored initiative from Fall 2011 through implementation at CGCC in Fall 2017. The…

Many students with disabilities who are capable of learning math find limited success because the tools they are using to access mathematical content are not well aligned with their range of abilities. Process-Driven Math (PDM) is a learning support tool that was initially developed for one student who is blind and unable to write or type. PDM…

Strong mathematics achievement is lacking in the United States, with motivation waning especially among mathematics and online students. Online mathematics students, in particular, struggle with self-regulation and self-efficacy (Kim, 2012; Sun & Rueda, 2012). Ryan and Deci (2017), in their well-established and empirical self-determination…

This dissertation consisted of three different, but conceptually related manuscripts. The series of manuscripts examined psychosocial factors of learning including attitude towards mathematics, motivation to learn mathematics, and satisfaction from the mathematics instruction in both redesigned and traditionally- taught college algebra courses at…

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…

This design research study examined how professional development in the context of a research practice partnership developed Algebra 1 teachers' collective understanding of the eight Standards for Mathematical Practice (SMPs), part of the Common Core State Standards. Over two years, 15 teachers participated in a task analysis routine that included…

Many students enter community college underprepared for college-level math and are placed into developmental elementary algebra without consideration if the algebra will provide a foundation for their needed college-level math course. Large percentages of those students are unable to succeed in the developmental course and, therefore, are unable…

Over the past three decades, researchers have found cooperative learning to have positive effects on student achievement in various subject areas and levels in education. However, there are limited studies on the impact of cooperative learning on student achievement in the area of high school mathematics. This study examined the impact of…

The problems under investigation included (a) Did a directed study of mathematics vocabulary significantly affect student performance levels on standardized mathematical questions? and (b) Did the strategies used in this study significantly affect student performance levels on standardized mathematical questions? The population consisted of…

Educators continuously strive to meet the needs of at-risk students, and because of this dedication to student achievement, many special education programs are integrating the use of the graphing calculator within the classroom. Teachers are adapting their lessons to integrate calculators and calculator instruction. This study examined if the use…

This study explored the differences in student achievement on New York State standardized tests between blended learning and traditional instructional methodologies. Specifically, the study compared student achievement in iLearnNYC schools, to their peer schools that deliver instruction in a traditional manner. iLearnNYC is a blended learning…

The passing of the Education for All Handicapped Children Act---later renamed the Individuals With Disabilities Education Act---mandated that schools and districts ensure that all available education services were comparable between students with disabilities and general education students. This mandate led to students with disabilities and…

More high school students are taking the ACT and more students are taking it at an earlier age. States such as Missouri are now testing all public and charter school students during their junior year to use the ACT as a formative assessment to drive discussions about student schedules, plans of study, and course offerings. With more data from more…