In this paper, we invite the reader to think deeply about professional development opportunities for faculty. The focus of this professional development is to improve teaching and learning by including more inquiry in the mathematics classroom. Building on theories of teaching and learning, we develop the idea of "teaching procedures"…

Based on our work teaching undergraduate Calculus courses, we offer insight into teaching the chain rule to reduce cognitive load for students. A particularly difficult topic for students to grasp, problems likely arise due to student struggles with the concept of function and, particularly, function composition relative to when they first…

This article reports on a study of academic experiences and outcomes for a sample of 1,346 freshman students who completed a virtually taught first-year mathematics course during the fall 2020 semester. Overall student achievement during the fall 2020 semester, during which courses were taught in a virtual modality, remained at the same level as…

Mathematical definitions are central to learning and doing mathematics. Research has uncovered significant differences between how mathematicians and non-mathematicians construct, reason about, and refine mathematical definitions. Various strands of research provide insight into the development of definitional practices, yet an integrated approach…

Creativity plays an important role in mathematics, but it can be overlooked in undergraduate courses. This article describes three ways an existing first-year math seminar was modified to increase its focus on creativity: introducing readings and discussions related to creativity, drawing connections to creativity in other disciplines, and adding…

In the mathematical community, two notions of "function" are used: the set-theoretic definition as a univalent set of ordered pairs, and the Bourbaki triple. These definitions entail different interpretations and answers to mathematical questions that even a secondary student might be prompted to answer. However, mathematicians and…

Most students practice abductive reasoning in solving mathematical problems that encourage creativity. This study analyses the process of making conjectures based on abductive reasoning. This study used a qualitative design and involved 106 undergraduate mathematics students enrolled in the mathematics course Introduction to Ring. We analyzed the…

This study sought to examine the impact of dynamic mathematics software, GeoGebra, on university mathematics students' understanding of polar coordinates. A quasi-experimental design with an equivalent group of 42 participants in each group was used. A simple random sampling approach was used to select the 84 participants from the population and a…

Mathematics preparatory workshops were offered to college students at a diverse urban undergraduate institution. The goal was to prepare students for their mathematics course, by offering non-credit bearing and free preparatory workshops. The lack of adequate preparation for mathematics courses is a barrier for student engagement in future STEM…

Throughout the 21st century, the discipline of developmental education has come under fire for low success rates and has created a great deal of controversy. This has especially been the case for developmental math. Over the years, there have been many initiatives to improve student success and completion in developmental math. Some have succeeded…

Considering Gen Z's learning needs, primarily focusing on bachelor IT students, a STEAM-based methodology was developed and tested for teaching and learning the principal properties of the cardioid curve. The four-component methodology is based on visuality and combines frontal teaching techniques with educational robotics, dynamic geometry…

The purpose of this concurrent mixed methods action research study was to investigate the impact of new technology-enhanced Dual Enrollment (DE) math courses on students' perception of college courses, the influence the technology-enhanced DE had on students' intention of going to college, and the students' perception of the technology-enhanced DE…

The purpose of this mixed method study is to determine the effectiveness of the corequisite model on collegiate mathematics developmental education. Corequisite models are designed to allow students who place into pre-college level courses to complete the prerequisite material and college-level coursework simultaneously in their first semester.…

Mathematics plays a significant role in many study programs. However, several studies show deficiencies and a decline in beginning undergraduates' skills in mathematics in many content domains. However, it remains unclear whether they have improved in so-called process competencies like modeling, mathematical reasoning, or using different…

Learning analytics needs to pay more attention to the temporal aspect of learning processes, especially in self-regulated learning (SRL) research. In doing so, learning analytics models should incorporate both the duration and frequency of learning activities, the passage of time, and the temporal order of learning activities. However, where this…