A student-led mathematics bootcamp has been designed and implemented to help foster community building, improve confidence in mathematical skills, and provide mathematical resources for incoming physical chemistry doctoral students. The bootcamp is held immediately before the start of the first semester of graduate school and uses an active…

We describe a project to restructure the way Applied Calculus is taught at our university to improve student success rates. Eliminating large lecture sections, re-evaluating the needs and expectations of our students, developing uniform course delivery and grading systems, incorporating active learning teaching methods, and focusing on conceptual…

Like many math educators, I have spent much of my career bound to traditional methods of instruction and assessment. In recent years, motivated by a growing understanding that such approaches may not result in equitable or inclusive classroom environments, my teaching philosophy has shifted radically. In this article, I describe how I transformed…

Many students are passively engaged in mathematics content across the United States because they are in classrooms that use traditional instruction methods (i.e. lecture and guided practice). Calculus is a struggle for students because of the critical thinking, conceptual understanding, and problem solving required. Active learning has been shown…

It is widely accepted in the mathematics education community that pedagogies oriented toward inquiry are aligned with a constructivist theory of learning, and that these pedagogies effectively support students' learning of mathematics. In order to promote such an orientation, we first separate the idea of inquiry from its conception as a…

What is a routine question? The focus of this paper is routine questions and time (in years) since a hitherto routine question was last attempted by the solver. The data comes from undergraduate students' work on solving two calculus questions. The data was selected for reporting purposes because it is well documented and because it threw up…