A phenomenographic study at a research university identified five categories of description for how STEM (science, technology, engineering, and mathematics) instructors conceptualize the design and redesign of undergraduate courses. These categories form a hierarchical outcomes space with increasing complexity of awareness of the phenomenon. The…

Many students enter community college underprepared in math and must take multiple semesters of developmental (remedial) classes. Far too few of these students ever enroll in -- let alone pass -- an introductory college-level math course, but without those credits, they cannot graduate. Among the many reforms practitioners are undertaking to try…

The focus of this research is how Sicilian state university mathematics professors faced the challenge of teaching via distance education during the first wave of the COVID-19 pandemic. Since the pandemic entered our lives suddenly, the professors found themselves having to lecture using an e-learning platform that they had never used before, and…

Researchers have been interested in students' transition to calculus since the early 1900s. One line of inquiry highlights students' understandings of high school mathematics as impeding or supporting their successful transition to university mathematics. This paper addresses an underlying question in this line of inquiry: does school mathematics…

Quantitative Reasoning for Professionals is a two-semester general education sequence that teaches basic and intermediate algebra through the lens of quantitative reasoning. In this course sequence, we emphasize communication and inference-making while teaching practical algebra skills for students in programs such as business, nursing, and social…

In corequisite models of instruction, marginally prepared students are placed directly into college-level coursework, taught with a paired support course. Initial research suggests that such models yield significant improvements in the number of students passing credit-level mathematics when compared to previous models of prerequisite remediation.…

The role of the academic discipline is a major factor in the assessment design and implementation in higher education. Unfortunately, a clear understanding of how teachers from different disciplines approach assessment is still missing; this information can lead to teacher training programmes that are better designed and more focussed. The present…

The percentage of college students receiving unproductive grades in introductory mathematics courses is a concern for post-secondary institutions across the country. Many factors can be targeted as potential explanations for this lack of success, yet none of these issues are more noteworthy than the fact that many students enter college…

The purpose of this article is to describe a couple of challenging mathematical problems that involve paper folding. These problem solving tasks can be used to foster geometric and algebraic thinking among students. The context of paper folding makes some of the abstract mathematical ideas involved relatively concrete. When implemented…

As of fall 2019, the California Community Colleges Chancellor's Office required all California community colleges (CCC) to be in compliance with Assembly Bill 705 (AB 705). CCC were required to implement multiple measures placement policies for math and English that would maximize the likelihood that students with an educational goal of degree or…

Research exploring undergraduates' tool preferences in tertiary mathematics is currently limited. In this paper, we explore the tools mathematics and engineering students use when studying mathematics and the ways undergraduates combine these tools. Results from our survey (N = 628) showed that students in our sample use mostly their notes, the…

A lack of mathematics facility prevents many students from pursuing majors in science, technology, engineering, and mathematics. Research revealed that teaching methodology is crucial for success in any course. This dissertation focuses on learners' experiences in a flipped instructional model and a customized direct instructional model. Although…

SARS-CoV-2 virus has caused universities to update their courses in the distance modality. The general aim of this mixed research was to build and analyse the use of a web application for the educational process about the t-test considering data science. In particular, the professor of the Teaching of Mathematics II course needed to update the…

We describe the design and implementation of lessons in undergraduate abstract algebra that integrate applications to teaching high school mathematics. Each lesson consists of a pre-activity, class activity, homework set, assessment questions and detailed instructor notes. The included applications intend to bridge advanced mathematics concepts to…

The primary purpose of this study was to determine the differences in the academic outcomes of first-year academically underprepared TN Promise-eligible college freshmen who participated in a college bridge program. A comparative research design was applied to existing data, including first-semester GPA, first-semester credit completion rate,…