Linear algebra is gaining increased attention due to its applications in many modern high-tech industries, such as artificial intelligence, machine learning, and robotics. Coordinate systems underlie many concepts in linear algebra and promote students' spatial thinking of key concepts by imposing a visual aspect to courses that may otherwise be…

The enduring debate surrounding college algebra, traditionally a gateway for STEM pathways, underscores the necessity for curricular evolution in response to the rising popularity of non-STEM majors. This dissertation explores the success of an applied college algebra course designed for non-STEM students. The study aimed to determine whether this…

The purpose of this comparative study was to determine if and to what extent there was a statistically significance difference in college students' motivation--amotivation, external regulation, introjection, identification, intrinsic motivation--to learn Algebra I between in-person instruction and online instruction in Central Arizona. The theory…

The COVID-19 pandemic led to a global lockdown and compelled institutions to shift to emergency remote teaching. This transition and the lack of knowledge of using technology affected teaching practices, including assessment. Confronted with new contexts for assessment and threats to validity caused by ineffective proctoring, many instructors had…

This qualitative research study explores how students negotiate their identities as mathematics learners in a college algebra quadratics unit that implements asset-based frameworks that reframe mathematics curriculum to support student awareness of their capacities. This study adds to existing research discourse on teaching and learning…

This mixed-methods study investigated the impact of the Foundations of Mathematical Reasoning course within the Quantitative Reasoning Pathway developed by the Dana Center for Mathematics Pathways at the University of Texas at Austin on student motivation in mathematics. Quantitative research was conducted to determine the effects of the…

College algebra is regarded as a gatekeeper course for attaining degrees, higher paying jobs, and overall individual empowerment. Educational stakeholders have reconsidered alternative instructional approaches such as computer-assisted instruction (CAI) to curb high failure rates and increase retention rates among college algebra students. One…

Over the last several centuries, mathematicians have developed sophisticated symbol systems to represent ideas often imperceptible to their five senses. Although conventional definitions exist for these notations, individuals attribute their personalized meanings to these symbols during their mathematical activities. In some instances, students…

Preparing graduates for employment is the goal of postsecondary education. In response to the national quantitative reasoning deficiency, institutions have joined nationwide to align college math content and learning outcomes to meet the needs of common careers and everyday life. The problem addressed in this study is that traditional college math…

Knowledge assessments in undergraduate mathematics education commonly evaluate response correctness to determine learner proficiency. However, simultaneous evaluation of learner metacognition more accurately assesses the multiple dimensions of knowledge and has been shown to increase assessment validity and reliability. Research into…

This descriptive case study explores undergraduate student experiences and perceptions in corequisite college algebra courses at an Arkansas university. Corequisite models enroll students in credit-bearing college algebra paired with required supplemental academic support. Current research has largely focused on pass rates or DFW rates. However…

Because the failure rate for college algebra is large and sometimes up to 50%, college algebra serves as a gatekeeper to STEM fields and degree completion. Therefore, it is critical to examine students who are at risk of dropping, withdrawing, and failing college algebra help-seeking behavior. The purpose of this mixed methods study was to focus…

This study sought to explore whether access to definitions and general representations influences the construction of general direct arguments. Data was collected in college mathematics courses for prospective elementary school teachers. Participant arguments were analyzed along two variables: the generality of the representations and the…

The purpose of this explanatory, sequential mixed-methods (QUAN [right arrow] qual) study was to investigate undergraduates' attitudes toward mathematics and perceptions of a community of inquiry in the fully online (FO) mathematics learning environment. Specifically, the study aimed to learn more about relationships between undergraduates'…

Inquiry-based mathematics education (IBME) includes features such as: (a) Using tasks with authentic problem contexts, (b) building on students' everyday resources, (c) relying on small-group and whole-class discussions, and (d) establishing certain norms of participation for the inquiry classroom community (Laursen & Rasmussen, 2019). Prior…