With the sudden onset of the pandemic, little was known about the implications of transitioning college mathematics classes to online environments. In light of many students' difficulties in passing remedial and first-year mathematics courses in both synchronous and asynchronous classrooms, gaining an understanding of the impact of this transition…

The ability to solve mathematical problems has been an interesting research topic for several decades. Intuition is considered a part of higher-level thinking that can help improve mathematical problem-solving abilities. Although many studies have been conducted on mathematical problem-solving, research on intuition as a bridge in mathematical…

Numerous national and state endeavors have advocated for approaches, funding, and programs focused on expanding the science, technology, engineering, and mathematics (STEM) workforce of the nation and investing in education to cultivate a more diverse and impactful cohort of students who pursue STEM pathways. Educators, support personnel, and…

How do undergraduates make their first course decisions, and are these decisions fateful? Drawing on serial interviews (N = 200) of 53 students at an admissions-selective university, we show that incoming students with disparate precollege experiences differ in their orientations toward and strategies for considering first college math courses.…

At a research university near the east coast, a college algebra class has been restructured into two large lectures a week, an active recitation size laboratory once a week, and an extra day devoted to active group work called Supplemental Practice (SP). SP was added as an extra day of class where the SP leader has students work in groups on a…

The dramatic changes brought on by the COVID-19 pandemic have changed the way in which mathematics and statistics support is offered. Students and staff have been presented with new opportunities and challenges. One-on-one interviews were conducted late in 2020 with 23 students and staff who had experience with fully online mathematics and…

We introduce a ruler and compass activity designed around Islamic Geometry and provide a detailed description of the various components of the activity along with ideas for students exhibitions in both digital and print form. In our experience, this activity helps students to "buy into" actively doing mathematics, making it an ideal…

Objective: In numerous calls for reform to community college math instruction, contextualization has been identified as an effective approach to teaching and learning. Yet, little is known about how faculty contend with math contextualization and how they make decisions about its adoption. This study explored how community college faculty teaching…

This qualitative research study sought to help community colleges aid math faculty in making a transformation in their teaching practices. The research questions were: (a) What did it take for faculty to change their teaching style from traditional lecture-based instruction to one that incorporates low-stakes collaborative practice, just-in-time…

In this paper we provide a description of the project DrIVE-MATH, highlighting the main goals, intellectual outputs, outcomes, the involved partners, and activities and reports from the three-years' project. At the end we discuss the impact of the new proposed Education models at various levels, from students, to HEIs, to stakeholders.

For a semester within a transition-to-proof course, mathematics majors explored two famous conjectures: The Twin Primes Conjecture and the Collatz Conjecture. Students were scaffolded into exploring the conjectures through directed activities but were also expected to create their own methods of exploration. We documented students' experiences…

This research aims to determine second-year university students' understanding in interpreting and representing fractions. A set of fraction tests was given to students through two direct learning interventions. An unstructured interview was used as an instrument to obtain explanations and confirmations from the purposive participants. A total of…

A partially-automated method of assessment is proposed, in which automated question setting is used to generate individualized versions of a coursework assignment, which is completed by students and marked by hand. This is designed to be (a) comparable to a traditional written coursework assignment in validity, in that complex and open-ended tasks…

We describe an organizing principle for online learning materials; we term coherently organized digital exercises and expositions. Larger in scale than individual lessons but smaller than a programme of study, this innovation in instructional practice is increasingly guiding our thinking in the development of university mathematics courses.…

Research suggests that using only standardized placement test scores to determine which new college students should take developmental coursework is inadequate, as many students may be unnecessarily assigned to developmental courses. These courses generally take one or more semesters to complete, delaying entry into college-level coursework, and…