Collegiate mathematics instructors are moving away from traditional lecture-based teaching practices to accommodate the pedagogies that support more active student learning. As part of the movement, groupwork has been increasingly implemented. At the same time, mathematics classrooms have become increasingly diverse and also in the distribution of…

In this paper, we provide an overall perspective on the teaching and learning of discrete mathematics. Our aim is to highlight what research has been conducted in this area and to connect it to existing research ideas for future work. We begin by characterizing discrete mathematics and its role in the school curriculum, highlighting themes,…

The widely used Draw a Scientist Test was revised to focus on statistics and 110 Elementary Statistics students were asked to draw a statistician. In addition, to better understand students' drawings and have some relative comparison, 173 College Algebra students were asked to draw a mathematician. A detailed analysis of students' images and…

Using a phenomenological approach, we examined the sense of belonging for first-generation Latino men enrolled in a developmental mathematics course at a Hispanic-Serving Institution. The focus was on faculty-student interactions that fostered a sense of belonging. Data were collected through individual, semistructured interviews. Participants…

We discuss two proof evaluation activities meant to promote the acquisition of learning behaviors of professional mathematics within an introductory undergraduate proof-writing course. These learning behaviors include the ability to read and discuss mathematics critically, reach a consensus on correctness and clarity as a group, and verbalize what…

This qualitative case study explored perceptions of learning support and student success, particularly for students of color who had enrolled in a college algebra course. The purpose of this study was primarily to include student voices in the conversations about student success. The study uses a qualitative case study approach in two ways: (1) to…

For institutions offering multiple sections of Calculus 1, course coordination allows for consistency among the sections through the reduction of variation of material and/or instructional approaches. Studies on course coordination have shown that a coordinated system can bring benefits to instructors and promote equality for students across…

The COVID-19 pandemic was highly disruptive and Institutions of Higher Education struggled to effectively educate undergraduate Science, Technology, Engineering, and Mathematics (STEM) students, who were facing unique challenges in their modified learning environments. While some research has focused on educational challenges encountered in…

The authors describe working with partner disciplines during the process of updating mathematics courses for the general education quantitative literacy requirement. The conversations resulted in significant changes to the business calculus course and a rich listing of applications to be incorporated into the college algebra course from technical…

Following a modeling-first approach to differential equations, inquiry-based learning activities on modeling and controlling the growth of locally relevant species, such as lionfish or sea turtles, are developed by the authors. Emerging exemplary practices are presented, building towards a balanced teaching of differential equations involving…

Meaningful mathematics learning requires creating opportunities for learners to make use of their awareness to contact important mathematical structures. Four first year undergraduates studying engineering, mathematics and education were invited to construct examples meeting specified constraints in order to investigate their awareness of…

This paper deals with writing a proof text as the final step of the proving process at university level, particularly when it results in a disorganized, unclear draft. The reported study concerns third year university students when dealing with proof tasks for which the proving process has to be built up, as opposed to tasks that students may…

To date, the way that academic misconduct is manifested in undergraduate mathematics coursework has been unexamined in the literature, with the consequence that policy and preventive education can fail to address it appropriately. This paper describes the particular features of the responses expected in mathematical tasks and provides concrete…

Beginning a teaching career and working to prepare and support beginning teachers is a roller-coaster of successes and puzzling moments. In this article, author Cassandra (Cassie) Seiboldt shares how she learned to manage her first years of teaching by purposefully planning through anticipating student thinking and solutions, and the positive…

Many large universities, community colleges and some smaller four-year colleges are turning to hybrid or online instruction for remedial and entry level mathematics courses, often assessed using online exams in a proctored computer lab environment. Faculty face the task of choosing questions from a publisher's text bank with very little, if any,…